NOTE: Credit may be obtained for only one of Chemistry 3300 and Chemistry 330A/B.
3301. Physical Chemistry II (W). Electrical conductivity of solutions, electrochemical cells, equilibrium constants of weak electrolytes, activity coefficients of electrolytes. Elementary theoretical chemistry, introduction to quantum mechanics, statistical interpretation of thermodynamic functions of ideal gases, and kinetic theory of gases. Chemical kinetics including relaxation techniques and mass transport phenomena.
Prerequisites: Chemistry 3300, Applied Mathematics/Pure Mathematics 3260, Physics 2056. Physics 2056 may be taken concurrently
with Chemistry 3300.
Lectures: Three per week.
Laboratory: Three hours per week.
NOTE: Credit may be obtained for only one of Chemistry 3301 and Chemistry 330A/B.
3400. Intermediate Organic Chemistry (F). Application of structural elucidation and synthetic methods to modern organic chemistry. Subjects covered will include aromatic, heterocyclic, and polyfunctional compounds.
Prerequisite: Chemistry 2401. Students are recommended to read
Chemistry 3500 concurrently.
Lectures: Three per week.
Laboratories: Three hours per week.
3401. Advanced Organic Chemistry (W). The synthesis and structure elucidation of natural products and some molecules of biological interest.
Prerequisite: Chemistry 3400.
Lectures: Three per week.
Laboratory: Three hours per week.
3500. Spectroscopic Analysis: Spectroscopy and Structure (F). Application of spectroscopic methods to the determination of molecular structure. Emphasis will be placed on electronic, vibrational and rotational spectroscopy, nuclear magnetic resonance spectroscopy and mass spectrometry.
Prerequisites: Chemistry 2210, 2300, 2401. Physics 2056 is
strongly recommended.
Lectures and Laboratory: Not more than six hours per week.
3600. Marine Chemistry (W). This course focuses on the ocean's role in the global cycling of selected elements and compounds. Emphasis will be placed on marine analytical chemistry, marine pollution, composition and properties of seawater, biogenic compounds, chemical cycling and the chemistry of sea sediments.
Prerequisites: Chemistry 2210, 2300, 240A/B.
Corequisite: Chemistry 3100.
Lectures: Three hours per week.
4100. Analytical Chemistry II (F). Error treatment, absorption of radiation (uv, visible, ir), emission spectroscopy, fluorescence, phosphorescence, light scattering and Raman spectroscopy, refractometry, polarimetry, gas and liquid chromatography, ion exchange and automated analyses.
Prerequisites: Chemistry 3100 and 3300. Chemistry 3300 may be
taken concurrently with Chemistry 4100.
Lectures and Laboratory: Not more than six hours per week.
NOTE: Students may not obtain credit for both Chemistry 4100 and 4000.
4101. Analytical Chemistry III (W). Electrochemical techniques including polarography, coulometry and conductance. Radiochemical methods, thermal chemistry, NMR, ESR, X-ray techniques, Fourier transform methods, mass spectrometry, ion and electron spectroscopy.
Prerequisite: Chemistry 3100 and 3301. Chemistry 3301 may be
taken concurrently with Chemistry 4101.
Lectures and laboratory: Not more than six hours per week.
NOTE: Students may not obtain credit for both Chemistry 4101 and 4001.
4200. Chemical Applications of Group Theory. Applications of group theory to electronic, vibrational, and electron spin resonance spectroscopy, and to the molecular orbital theory of bonding.
Prerequisite: Chemistry 3211.
Lectures: Three per week.
4201. Coordination Chemistry in Biological Molecules - Structural, Mechanistic and Magnetic Studies. The role of certain transition elements e.g. iron, copper, cobalt, and zinc, in proteins and enzymes will be discussed in terms of structural features, the natural ligands, magnetic properties, mechanisms, etc., and reinforced with examples of 'model compounds'. Magnetic theory, in particular for polynuclear transition metal complexes, will also be developed.
Prerequisite: Chemistry 3211.
Lectures: Three per week.
4202. Selected Topics in Main Group Chemistry. Discussion of selected topics of current interest in the chemistry of s- and p-block elements.
Prerequisite: Chemistry 3211.
Lectures: Three per week.
4203. Organometallic Chemistry. Principles and applications of organometallic chemistry with emphasis on compounds of the transition metals, lanthanides and actinides. A study of synthetic methods, structure, bonding, reactions and applications of these concepts to organic synthesis and to catalysis.
Prerequisite: Chemistry 3211.
Lectures: Three per week.
4204. Inorganic Reaction Mechanisms and Catalysis. A survey of inorganic and organometallic reactions, their mechanisms and kinetic characteristics. In addition, stereochemical non-rigidity, reactions of coordinated ligands and homogeneous catalysis are discussed.
Prerequisites: Chemistry 3211 and 3301.
Lectures: Three per week.
4300. Advanced Physical Chemistry I: Quantum Mechanics and Spectroscopy (F). Solutions of the Schrodinger wave equation by means of second order differential equations and operator and matrix methods. Electronic spectra of atoms, and the rotational, vibrational and electronic spectra of diatomic and triatomic molecules. Chemical bonding.
Prerequisite: Chemistry 3301.
Lectures: Three per week.
Laboratory: Three hours per week.
NOTE: Credit may be obtained for only one of Chemistry 4300 and Chemistry 430A/B.
4301. Advanced Physical Chemistry II: Statistical Thermodynamics and Kinetics (W). Statistical thermodynamics and chemical kinetics. Applications to thermodynamics and kinetics of interfaces will be included.
Prerequisite: Chemistry 4300.
Lectures: Three per week.
Laboratory: Three hours per week.
NOTE: Credit may be obtained for only one of Chemistry 4301 and Chemistry 430A/B.
4350. Advanced Physical Chemistry III: Selected Topics in Physical Chemistry (W). Discussion of selected topics of current interest in physical chemistry and chemical physics, given in lecture or seminar form. Representative topics are crystal structure and x-ray crystallography, data processing and modelling, microwave spectroscopy, quantum chemical calculations. Arrangements to take this course should be made during the previous academic year.
Prerequisite: Chemistry 4301, which may be taken concurrently.
4400 (F) (formerly 440A). Physical Organic Chemistry I. Methods and Techniques: quantitative and qualitative theories of reactions and reactivity for organic molecules.
Prerequisites: Chemistry 3301, 3401 and 3500.
Lectures: three per week.
4401 (W) (formerly 440B). Physical Organic Chemistry II. Applications: organic reaction mechanisms and their elucidation.
Prerequisites: Chemistry 4400.
Lectures: three per week.
NOTE: Credit may be obtained for only one of (I) 440A/B or (ii) 4400 and 4401.
4410. Advanced Organic Synthesis (F). Retrosynthetic analysis, synthetic strategy and design in total synthesis. Modern methods and reagents. Analysis of published syntheses of several complex molecules.
Prerequisite: Chemistry 3401.
Lectures: Three per week.
4411. Topics in Medicinal Chemistry (W). Synthesis, stereochemistry, chemical properties and mode of action of selected drug types including antibacterial, antiviral and anticancer drugs. Emphasis will be placed on organic chemical considerations of drug design.
Prerequisite: Chemistry 3401.
Lectures: Three per week.
490A/B. Honours Thesis.
PROGRAMMES IN COMPUTER SCIENCE
The following undergraduate programmes are available in the Department:
a) Major in Computer Science
b) Honours in Computer Science
c) Minor in Computer Science
d) Computer Science/Statistics Joint Major (B.Sc. only)
e) Computer Science/Pure Mathematics Joint Major (B.Sc.
only)
f) Computer Science/Geography (Cartography option)
Joint Major (B.Sc. only)
g) Computer Science/Physics Joint Major
h) Computer Science/Pure Mathematics Joint Honours
(B.Sc. only)
i) Computer Science/Statistics Joint Honours
j) Computer Science/Geography (Cartography option)
Joint Honours (B.Sc. only)
k) Computer Science/Physics Joint Honours.
Details of joint programmes are given after the Honours B.Sc. Regulations.
MAJOR IN COMPUTER SCIENCE
1) Forty-five credit hours in Computer Science courses are required for a major in Computer Science:
a) Computer Science 1700, 2710, 2711, 2740, 2741, 3711,
3714, 3724, 3725, 3740, 4718, and 4721.
b) At least six additional credit hours at the 4000-level in
Computer Science courses.
c) Three additional credit hours in Computer Science
courses at the 3000 level or beyond.
2) Additional courses required of the Majors are: Mathematics 2000, 2050, Statistics 2510, and three additional credit hours in Mathematics courses at the 2000 level or beyond, excluding Mathematics 2090.
NOTES: 1) Computer Science Majors shall not receive credit for Computer Science Service courses.
2) Students are encouraged to do the following electives: Computer Science 3723, Mathematics 1031, Mathematics 2001, Statistics 2511 and Business 2100.
3) A Computer Science Major is encouraged to take a concentration of courses in another discipline in order to gain a broader background.
HONOURS IN COMPUTER SCIENCE
1) See General Regulations for the Honours Degree (B.A. General Regulations for the Honours Degree or B.Sc. General Regulations for the Honours Degree as appropriate).
2) Sixty-three credit hours in Computer Science courses are required for the Honours Degree in Computer Science, including:
a) Computer Science 1700, 2710, 2711, 2740, 2741, 3711,
3714, 3724, 3725, 3740, 4718, 4721 and 4780.
b) Eighteen additional credit hours in Computer Science at
the 4000 level.
c) Six additional credit hours in Computer Science courses
at the 3000 level or beyond.
3) Additional courses required of the Honours student are: Mathematics 2000, 2050, Statistics 2510 and an additional three credit hours in Mathematics at the 2000 level or beyond, excluding Mathematics 2090.
NOTES: 1) Computer Science Honours students shall not receive credit for Computer Science Service courses.
2) Students are encouraged to do the following electives: Computer Science 3723, Mathematics 1031, Mathematics 2001, Statistics 2511 and Business 2100.
3) A Computer Science Major is encouraged to take a concentration of courses in another discipline in order to gain a broader background.
MINOR IN COMPUTER SCIENCE
1) For a Minor in Computer Science, a student must complete at least twenty-four credit hours in Computer Science courses, including:
a) Computer Science 1700, 2710, 2711, 2740, 2741.
b) At least three credit hours in Computer Science courses at
the 4000 level.
2) At most, twelve credit hours in Computer Science courses at the 2000-level may be included in the Minor.
COURSE NUMBERING SCHEME
There are five areas of Computer Science offered in the 3000- and 4000-level courses. The meaning of the third digit of a course number is as follows:
1- Programming Languages
2- Computer Systems
3- Numerical Computations
4- Theoretical Aspects
5,6- Applications (e.g. Artificial Intelligence, Computer
Graphics, Data Base, Robotics, Computational Geometry,
Image Processing, Computer Networking, Computer Aided
Design)
8- Honours Project
9- Directed Readings
FACULTY ADVISORS
Each student majoring in Computer Science will be assigned a Faculty Advisor from within the Department of Computer Science. Majors should consult their Faculty Advisor on all academic matters. A student's programme must be drawn up in consultation with the student's assigned Faculty Advisor for approval by the Head of the Department or delegate.
UNDERGRADUATE HANDBOOK
Additional information about the undergraduate Computer Science programmes and courses can be found in the Computer Science Undergraduate Handbook available from the General Office, Department of Computer Science.
COURSE LIST
COMPUTER SCIENCE SERVICE COURSES
2602. Computer Programming in BASIC and FORTRAN (F) & (W). Introduction to computers and their use; interactive computing; the BASIC and FORTRAN programming languages and their application to the computer solution of numeric and non-numeric problems.
In addition to three one-hour lectures there will be a minimum three hour laboratory per week to be scheduled by the department.
Prerequisite: Mathematics 1000 or 1080. Recommended Mathematics 1031.
NOTE: Students who have received credit for the former Computer Science 2600, or the former 2601, or the former 2800 cannot receive credit for Computer Science 2602.
2801. Introductory Computing for Business. This course introduces students to computer applications in business, document processing, application development, decision support, and information management. A three hour laboratory is required.
Prerequisite: Mathematics 1000 or 1080.
NOTE: Students shall not receive credit for more than one of the present Computer Science 2801, and the former Computer Science 2601 and the former Computer Science 2800. Computer Science Majors and Honours students shall not receive credit for Computer Science service courses.
2810. Elementary Data Processing (W). Fundamentals of data processing; applications; system study and design; non-computerized data processing; computer hardware, software and operations; selected topics.
Prerequisite: Mathematics 1080 or Mathematics 1000.
NOTE: Students shall not receive credit for more than one of Computer Science 2602, or the former Computer Science 2600, 2601 or 2800. Computer Science Majors and Honours students shall not receive credit for Computer Science Service courses.
COMPUTER SCIENCE MAJOR COURSES
FIRST YEAR COURSES
1700. Introduction to Computer Science. This course lays the foundation for the art and the science of computing. The course contains fundamental and topical issues in computers, languages, programming and applications. This course is required of all Computer Science majors but is also available to non-majors.
Prerequisite: Mathematics 1080 or Level III Advanced Mathematics
or equivalent.
Lectures: Three hours per week.
Laboratory: Three hours per week.
NOTE: Students who have previously completed Computer Science 2700 will not be permitted to register or receive credit for Computer Science 1700.
SECOND YEAR COURSES
2710. Problem Solving and Programming (F) & (W). This course emphasizes algorithmic problem solving and sound programming techniques; for instance, mathematical models for abstract data types are formally defined and their relevant properties are proved. Basic techniques for the organization of data in the computer's storage are discussed and the basics for proving properties of programmes are given.
Lectures: Three hours per week.
Laboratory: Three hours per week.
Prerequisite: Computer Science 1700.
NOTE: Credit cannot be obtained for both Computer Science 2710 and 2700.
2711. Introduction to Algorithms and Data Structures (F) & (W). This course includes the study of standard ways of organizing and manipulating data in the computer's storage. Fundamental concepts in the design and analysis of algorithms are also discussed.
Lectures: Three hours per week.
Laboratory: Three hours per week.
Prerequisite: Computer Science 2710.
NOTE: Credit cannot be obtained for both Computer Science 2711 and 2701. It is recommended that students complete Computer Science 2740 prior to registering for Computer Science 2711.
2740. Discrete Structures I (F) & (W). Basic concepts of logic. Propositional logic and its proof system. The language of predicate logic. Sets, functions and relations, induction and recursion. Basics of graph theory, elementary properties of graphs.
Prerequisite: Computer Science 1700.
2741. Discrete Structures II (F) & (W). A follow-up of Computer Science 2740 dealing with more advanced topics in Discrete Mathematics. These topics include: classical graph theoretic problems, operations, algebras, abstract algebraic constructions, more on set theory and predicate logic.
Prerequisite: Computer Science 2710 and 2740.
2752. Introduction to Business Data Processing (F). Data processing applications of computers, large and small scale systems for business, peripherals, and programming in COBOL. Introduction to Fourth Generation Languages.
In addition to three one-hour lectures, there will be a minimum three-hour laboratory per week, to be scheduled by the Department.
Prerequisite: Computer Science 2602, 2700, 2710 or the former 2800.
NOTE: Credit may not be obtained for both Computer Science 2752 and 3752.
THIRD YEAR COURSES
3710. Vocational Languages (W). Study of several programming languages of vocational significance (e.g. a selection from ADA, C, ICON, LISP, MODULA-2, PROLOG and others). The use of appropriate programming paradigms to solve some significant problems.
In addition to three one-hour lectures, there will be a minimum three hour laboratory per week, to be scheduled by the Department.
Prerequisite: Computer Science 2701 or 2711.
3711. Algorithms and Complexity (W). This course introduces the most common and effective algorithm design techniques and their complexity analysis, and the theory of Np-completeness. Examples will be drawn from various fields such as graph theory and string matching.
Prerequisite: Computer Science 2711 and 2741.
3714. Programming Language Translation and Interpretation (F). This course is a study of the syntax and semantics of programming languages. Issues to be studied include virtual machines, translation, compiling, code generation and interpreters.
Prerequisites: Computer Science 3712 and 3741, or 3740 and 3724.
3718. Programming in the Small (F). The main objective of this course is to demonstrate the tools and techniques used in the construction of small software systems. The software tools and techniques to be covered include C++, analysis and design of software components, software construction tools (e.g. linkers, builders, debuggers), software library use and design, and system integration.
Prerequisite: CS 2711 and CS 2741.
3723. Logic Design (F). Review of Boolean logic functions; Karnaugh maps and minimization of combinational circuits. Applications of MSI and LSI devices; multiplexers, decoders, ROM's programmable logic; application of timing diagrams to logic design. Review of sequential circuits; flip-flops, shift registers, etc. Analysis of sequential circuits, state diagrams, state tables, state reduction, models of sequential circuits. Introduction to micro-processors, memory decoding, I/O device selection. The use of microprocessors as simple device controllers.
Prerequisite: Computer Science 3724.
Lectures: Three hours/week
Laboratory: Three hours/week.
NOTE: Credit may not be obtained for both Computer Science 3723 and Physics 2552.
3724. Computer Organization (F) & (W). This course begins with elementary logic elements and progresses through boolean algebra, synthesis and analysis of combinational and sequential circuits, finally covering aspects of von Newmann machine organization. It deals with topics such as number systems, coding, arithmetic/logic units, register transfer languages, algorithmic state machines, PLA, Mux, One Hot implementations, microprogramming, memory, instruction processing cycle, etc.
Prerequisite: Computer Science 2711 and 2741.
3725. Computer Architecture (W). Using the background offered in Computer Science 3724, this course covers advanced topics in the areas of memory system organizations (eg. overlapping, interleaving, cache, associative memory, virtual memory, etc.), foundations of high-speed computations (eg. various types of dependencies, pipelining, co-operations and contentions, synchronizations, etc.), interfacing and communications, and alternative architectures (eg. RISC/CICS, VLIV, Superscarlar, Systolic, etc.)
Prerequisite: Computer Science 3724.
3731. Numerical Methods (F). The development of algorithms for the numerical solution of mathematical problems and the study of the numerical stability of these algorithms are the main objectives of this course. The efficiency of these algorithms with respect to speed and storage requirements is considered as well. Emphasis is also placed on the study of the sensitivity of selected problems to perturbations in the data. There is also a brief introduction to the development of numerical algorithms that take advantage of advanced computer architectures, such as pipeline processors, array processors and parallel processors.
Prerequisites: Computer Science 2602, 2700 or 2710 and Mathematics 2000.
Consent of the Head of Department is required if Computer Science
prerequisites are not met.
NOTE: Credit cannot be obtained for both Computer Science 3731 and Applied Mathematics 3132.
3740. Abstract Machines, Languages and Computations (F) & (W). This course introduces students to formal grammars and languages, including context-free grammars, pushdown automata, Turing machines and computability. Decision problems and elements of computational complexity are also introduced.
Prerequisite: Computer Science 2711 and 2741.
3751. Computational Aspects of Operations Research (W). Integer Programmming; transportation problem; trans-shipment problem; assignment problem. Network analysis: shortest route, network flow, critical path.
Prerequisite: Computer Science 3711 and Mathematics 2050.
3753. Computational Aspects of Linear Programming (W). An introduction to the Linear Programming Problem (LPP). The emphasis is placed upon developing the most recent and numerically reliable algorithms for the solution of the Linear Programming Problem. The numerical stability of these algorithms will be examined as well. Geometric understanding of the LPP. Simplex method for the LPP. Sparse matrix LPP. Duality and postoptimality analysis. Extensions to the simplex algorithm. Principles of interior algorithms for the LPP.
Prerequisite: Mathematics 2050 and one of Computer Science 2700, 2710, 2602 or the former 2800.
3790. Directed Readings.
NOTE: Permission of the Head of the Department is required prior to registration for this course.
FOURTH YEAR COURSES
4711. Structure of Programming Languages (F). Programming language design considerations; syntactic and semantic structure; survey of typical features and operations; analysis of facilities for control and data structuring; language extensibility; execution models; formal specification of programming languages.
Prerequisite: Computer Science 3740.
4712. Compiler Construction (W). Properties of formal grammars and languages; syntax-directed parsing and code generation; top-down and bottom-up parsing methods; LL(k) and LR(k) grammars and parsers; Code optimization; compiler writing tools.
Prerequisite: Computer Science 3714.
4715-4719 (excluding 4718). Special Topics in Programming Languages.
Prerequisite: Consent of Head of Department.
4718. Software Methodology (F). This course studies topics associated with the design and implementation of large software systems. Social and ethical issues faced by the computing professional are also discussed in the context of software engineering. In addition to class lectures, this course includes a compulsory three hour laboratory per week.
Prerequisite: Computer Science 3711 and 3714.
4721. Operating Systems Principles (W). Forms and characteristics of operating systems, the process and data modules, memory management, management of names, input-output, protection, resource allocation.
Prerequisite: Computer Science 3725.
4723. Introduction to Microprocessors (F). The architecture and instruction sets for several microprocessors are examined. The use of microprocessors as device controllers; comparisons of hardware and programmed techniques; microprocessor interfacing with external devices; methods of I/O; bus structures; modern microprocessor support devices are discussed.
Prerequisites: Computer Science 3724 and either Computer Science 3723 or Physics 2552.
Lecture: Three hours per week.
Laboratory: Minimum of three hours per week. Practical experience
with basic principles will be obtained through laboratory experience.
4725. Introduction to LSI Design (W). A simple model for MOS transistors is described and simple models for describing digital switching circuits are developed. Methods of structured design for MOS integrated circuits are discussed, together with the physical processes involved in the construction of modern large-scale integrated (LSI) circuits. Software tools for the design of such devices and techniques for testing LSI devices for possible implementation are introduced.
Prerequisites: Computer Science 3723, Computer Science 3725.
Laboratory: Three hours per week.
NOTE: Credit cannot be received for both Computer Science 4725 and Engineering 8863.
4726-4729. Special Topics in Computer Systems.
Prerequisite: Consent of Head of Department.
4734. Matrix Computations and Applications (W). An introduction to linear algebra; solution to linear systems; scaling, improving and estimating accuracy; the linear least squares problem; the eigenvalue problem; singular value decomposition of a matrix; the generalized eigenvalue problem.
Prerequisite: Computer Science 3731.
NOTE: Students who have received credit for Computer Science 3732 may not receive credit for Computer Science 4734.
4735. Advanced Matrix Computations and Applications (F). Continuation of Computer Science 4734. Advanced topics related to the eigenproblem, singular value problem and generalized eigenvalue problems. Applications of matrix computations in estimation and control theory.
4736-4739. Special Topics in Numerical Computations.
Prerequisite: Consent of Head of Department.
4740. Design and Analysis of Algorithms (F). Basic steps in the complete development of an algorithm; design methods and estimating efficiency of algorithms. Study of some efficient algorithms in sorting and searching, graph theory, pattern matching, set manipulation and linear algebra. Introduction to complexity theory.
Prerequisite: Computer Science 3711.
4741. Formal Languages and Automata Theory (W). Definition and representation of finite state automata and sequential machines. Equivalence of states and machines, congruence, reduced machines, and analysis and synthesis of machines. Decision problems of finite automata, partitions with the substitution property, probabilistic automata. Turing machines. Wang machines and others, Godel numbering and unsolvability results, the halting problem.
Prerequisite: Computer Science 3740.
4745-4749. Special Topics in Theoretical Aspects.
Prerequisite: Consent of Head of Department.
4751. Computer Graphics (F). Display devices, display processors, display file compilers, display transformations, structured display files, graphical input devices, perspective, hidden line elimination, languages and graphics systems.
In addition to three one-hour lectures, there will be a minimum three hour laboratory per week, to be scheduled by the Department.
Prerequisite: Computer Science 3711 and Mathematics 2050.
4753. Introduction to Artificial Intelligence (F). One or more AI programming languages; problem solving-state space, heuristic search theory; game-playing-game trees, minimax analysis, Alpha-Beta search, examination of several game-playing programmes; pattern perception-scene analysis, picture enhancement, line detection, perception of regions and objects.
Prerequisite: Computer Science 3711.
Recommended: Computer Science 3710.
4754. Data Base Systems (F). Data Base as a new approach to data processing; survey of 3 different types of data base systems: relational, hierarchical and network; security and integrity; comparison studies of some existing systems.
Prerequisite: Computer Science 3725.
4755-4769 (excluding 4756). Special Topics in Applications.
Prerequisite: Consent of Head of Department.
4756. Image Processing (W). Lectures will centre on the key analytical and algorithmic tools and concepts of digital image processing. Topics will include Transformations, Enhancement, Encoding, Data Bases, Segmentation and Description.
In addition to three one-hour lectures, there will be a three hour laboratory per week, to be scheduled by the Department.
Prerequisite: Computer Science 3711.
4780. Honours Project.
PROGRAMMES IN EARTH SCIENCES
The following undergraduate programmes are available:
120 credit hour programmes
- Honours or General degrees in Earth Sciences
- Joint Major in Earth Sciences/Physics
135 credit hour programmes
- Joint Honours in Earth Sciences/Physics
- Joint Honours in Biology and Earth Sciences
- Joint Honours in Earth Sciences/Chemistry
- Joint Honours in Geography/Earth Sciences
24 credit hour programme
- Minor in Earth Sciences
Although Honours programmes can be completed in 120 credit hours, students who do not select the prescribed common block of required courses will normally need more than 120 credit hours to satisfy degree requirements.
Details of joint programmes are given after the Faculty of Science Honours B.Sc. regulations.
ENTRANCE REQUIREMENTS
In order to be formally admitted to major programmes in Earth Sciences, students must have successfully completed three first-year credit hours in each of the following departments: English, Mathematics, Earth Sciences, Chemistry and Physics; these courses must be selected from the list of required courses for degree programmes in Earth Sciences. Students are encouraged to declare their major in their first year of study at the university.
Most of the 2000-level Earth Sciences courses that are required for major and minor programmes in Earth Sciences have Physics and Chemistry prerequisites, and students are advised to complete these prerequisites in their first year of study.
MINOR IN EARTH SCIENCES
A Minor in Earth Sciences will consist of the following:
a) Earth Sciences 1000, 1001, 2030, 2031, 2310.
b) Nine credit hours chosen from Earth Sciences courses 2400, 2502, 2503, 3053, 3170, 3172, 3179, 3210, 3400, 3600, 3611, 3701, 3811, 4610, 4302, 4901, 4902, 4903. At least three of these credit hours must be from courses at 3000-level or higher.
Several of the courses at 3000-level or higher have Earth Sciences 2502 or 2503 as prerequisites.
MAJOR PROGRAMMES IN EARTH SCIENCES
Programmes in Earth Sciences consist of a common block of required courses (below), and additional courses that depend on the degree being sought.
COMMON BLOCK OF REQUIRED COURSES
All majors in Earth Sciences must complete those courses specified in points (a) through (d). Students should examine prerequisites of 3000-level courses in order to decide which course to select under points (c) and (d).
a) English 1080 and 1110 (or equivalent), Mathematics
1000* and 1001, Earth Sciences 1000 and 1001, Chemistry
1000 and 1001, Physics 1050* and 1054*.
b) Earth Sciences 2030, 2031, 2310, 2502.
c) Mathematics 2000 or Statistics 2510.
d) Biology 2120 (or Biology 1001 and 1002), or Physics
2055.
*Some students may find it necessary or desirable to substitute Mathematics 1080 and 1081, and/or Physics 1020 and 1021 for specified first-year Mathematics and Physics requirements. Students pursuing a geophysics specialization within Earth Sciences, if they elect to take Physics 1020 and 1021, must also complete Physics 1054 as a prerequisite for higher level Physics courses. If these alternate course combinations are selected, the number of courses required to satisfy point (a) may exceed ten. For Honours B.Sc. programmes, students who complete such additional courses under point (a) will only be able to graduate after completing more than 40 courses (120 credit hours). For General B.Sc. programmes, such additional courses under point (a) count as credits toward the 40 course (120 credit hours) degree.
Students must ensure that the prerequisites for Earth Sciences courses are fulfilled. Great difficulties in timetabling may be encountered if the required first-year courses are not completed before the beginning of second year.
HONOURS B.SC. DEGREE IN EARTH SCIENCES
Geoscientific careers vary widely in required background. The Honours B.Sc. programme is designed with considerable choice in order that students may personalize their programmes based on career goals. Note that the flexibility afforded by this programme is not without limits. Some courses have prerequisites, and it is ultimately the student's responsibility to ensure that these prerequisites are satisfied. Students should consult faculty members and the departmental Student Handbook for guidance in selecting courses appropriate to particular career paths.
In addition to the common block of required courses, the following requirements must be completed to qualify for the Honours B.Sc. degree in Earth Sciences:
e) Earth Sciences 499A and 499B.
f) Thirty-six additional credit hours from Earth Sciences
courses, of which at least eighteen credit hours must be from
courses at 3000-level and at least twelve credit hours must
be from courses at 4000-level. Credit hours from Earth
Sciences 2150, 2914, 2915, 4310 and 4950 cannot be used
to fulfil this requirement.
g) Twelve credit hours from Science Faculty courses numbered 2000 or higher, no more than six credit hours of which
may be Earth Sciences courses. Biology 3811 and Physics
2050 are excluded.
h) Additional credit hours from courses from departments in
the Faculties of Arts or Science so as to achieve a total of
120 credit hours for the honours degree. Earth Sciences
2150, 2914 and 2915 are eligible additional courses. Mathematics 1080 and 1081; and Physics 1020, 1021 and 1054 are
all excluded as additional courses; these courses can only be
used to satisfy point (a) of the common block of required
courses. Students are encouraged to complete a minor in
another department.
GENERAL B.Sc. DEGREE IN EARTH SCIENCES
In addition to the common block of required courses, the following requirements must be completed to qualify for the General B.Sc. degree in Earth Sciences:
e) Twenty-seven additional credit hours from Earth Sciences
courses, of which at least fifteen credit hours must be from
courses at 3000-level and at least nine credit hours must be
from courses at 4000-level. Credit hours from Earth Sciences
2150, 2914, 2915, 4310, 4950 and 499A/B cannot be used to
fulfill this requirement.
f) Twelve credit hours from Science Faculty courses numbered 2000 or higher, no more than six credit hours of which
may be from Earth Sciences courses. Biology 3811 is
excluded.
g) Additional credit hours from courses from departments in
the Faculties of Arts or Science so as to achieve a total of
120 credit hours for the general degree. Earth Sciences
2150, 2914, 2915, 4950 and 499A/B are eligible additional
courses. Students are encouraged to complete a minor in
another department.
Students are advised that this is the minimum requirement for the General B.Sc. in Earth Sciences. Many provinces, including Newfoundland and Labrador, have legislation requiring registration of professional geoscientists. A basic requirement for registration is, in most cases, the course equivalent of an Honours B.Sc. degree. Students intending to make a career in Earth Sciences should consider taking the Honours Degree programme of courses, regardless of whether honours standing is maintained.
| ES 1000 | ES 1010, GEOL 1000, GEOL 1010 | |
| ES 1001 | ES 1011, GEOL 1001, GEOL 1011 | |
| ES 2030 | ES 203A, GEOL 203A | |
| ES 2031 | ES 203B, GEOL 203B | |
| ES 2150 | PHYS 2150 | |
| ES 2400 | ES 2161, ES 2070, PHYS 2070 | |
| ES 2310 | ES 2300, ES 2900, GEOL 2900 | |
| ES 2502 | ES 2501, ES 3200, GEOL 3200 | |
| ES 2914 | ES 2414, GEOL 2414 | |
| ES 2915 | ES 2415, GEOL 2415 | |
| ES 3053 | ES 3050, ES 3052, GEOL 3050 | |
| ES 3161 | ES 3160, PHYS 3160 | |
| ES 3170 | PHYS 3170 | |
| ES 3172 | ES 3171, PHYS 3171 | |
| ES 3210 | GEOL 3210 | |
| ES 3400 | ES 3120, GEOL 3120 | |
| ES 3611 | ES 4611 | |
| ES 3701 | ES 3070, GEOL 3070 | |
| ES 3811 | ES 3801, ES 2801, GEOL 2801 | |
| ES 4053 | GEOL 4053 | |
| ES 4054 | ES 4052, GEOL 4052 | |
| ES 4160 | PHYS 4160 | |
| ES 4171 | PHYS 4171 | |
| ES 4179 | ES 4970, PHYS 4970 | |
| ES 4211 | GEOL 4211 | |
| ES 4302 | ES 4501, GEOL 4501 | |
| ES 4310 | GEOL 4310 | |
| ES 4312 | ES 4311, ES 4111 | |
| ES 4901 | ES 4320, ES 400A, GEOL 400A | |
| ES 4400 | ES 4120, GEOL 4120 | |
| ES 4502 | ES 4201, GEOL 4201 | |
| ES 4601 | GEOL 4601 | |
| ES 4700 | GEOL 4700 | |
| ES 4800 | ES 4110, GEOL 4110 | |
| ES 499A/B | ES 4991, GEOL 4991 |
GENERAL NOTES FOR ALL EARTH SCIENCES PROGRAMMES AND COURSES
NOTES: 1) Students wishing to pursue study within the programmes offered by Earth Sciences are strongly advised to keep in close contact with the Department to discuss course programmes before attempting telephone registration in order to maintain a proper sequencing.
2) Students wishing to take some Earth Sciences courses without intending to major in Earth Sciences should consult with the Head of Department to determine the courses most suitable to their needs and capabilities. Earth Sciences 2914, 2915 and 2150 are especially suitable for such students and have no Earth Sciences prerequisites.
3) Most courses comprise six hours of instruction per week, usually three hours of lectures or seminars and a three-hour laboratory period; however, at an advanced level other methods of instruction may be adopted.
4) Courses 2310, 3400, 3600 and 3701 have compulsory field components held immediately before the first week of the fall semester. The field components for courses 3400, 3600 and 3701 are integrated into a single field school. Additional field experience is available to students who enroll in Earth Sciences 4905, which has prerequisites of Earth Sciences 3053 and 3400. The field component for course 2310, the integrated field school at third-year level, and the field course 4905 each require payment of a participation fee to cover costs for logistics and equipment. Students who intend to participate in field components or the field course 4905 must consult with instructors for details well in advance of attempting telephone registration. In the fall semester of third and fourth years, a number of full-day field exercises are normally run by swapping Earth Sciences lecture and laboratory slots.
5) The prerequisites for courses 4302, 4902 and 4903 refer to core courses in the Faculty of Science. For the purposes of these prerequisite statements, core courses are defined as those courses that are specified by each department as mandatory to fulfil the course requirements for their General or Honours programmes.
6) Certain of the 4000-level courses may not be offered every year.
COURSE LIST
The first digit of each course number designates the level (year) of the course. The second digit indicates the area of Earth Sciences into which the course best fits, as follows:
Second Digit
0 - mineralogy and petrology
1 - geophysics
2 - economic geology
3 - stratigraphy and marine geology
4 - structural geology and tectonics
5 - geochemistry
6 - technical fields and petroleum geology
7 - sedimentation, geomorphology
8 - paleontology
9 - general and dissertation
FIRST YEAR
1000. Earth Systems. A survey of the structure, function and interrelations of Earth's lithosphere, hydrosphere, atmosphere and biosphere. Topics include an exploration of the physical and chemical properties of planetary materials, forces driving and sustaining Earth systems, and biological modifiers (including humankind) on the Earth today.
Lectures: Three hours per week.
Laboratories: Three hours per week.
1001. Evolution of Earth Systems. Earth's present structure and environment, the product of 4.5 billion years of planetary evolution, are explored from the rock and fossil record. Examples, illustrated with rocks, fossils and maps, are selected from the geological history of North America, with particular emphasis on Newfoundland and Labrador.
Lectures: Three hours per week.
Laboratories: Three hours per week.
Prerequisite: Earth Sciences 1000.
SECOND YEAR
2030. Mineralogy (F). (Same as former Earth Sciences 203A). Introduction to crystallography and the structure of minerals; introduction to crystal optics; study of the rock forming minerals and minerals of economic significance. Laboratory work comprises study of the structures and symmetries of minerals, chemistry of rock forming minerals, introduction to transmitted light microscopy of rocks, hand specimen recognition of common rocks and minerals.
Prerequisites: Earth Sciences 1000, Chemistry 1001. Physics 1054
(or Physics 1021) and its Mathematics prerequisite are strongly
recommended.
Co-requisite: Earth Sciences 2502.
NOTE: See credit restriction under Earth Sciences 2031 below.
2031. Mineralogy and Petrography (W). (Same as former Earth Sciences 203B). Further study of crystal optics; rock forming minerals and their occurrence; application of phase equilibrium studies to minerals; introduction to igneous and metamorphic rocks. Laboratory work comprises optical mineralogy, interpretation of petrological phase diagrams, introduction to the petrography of igneous and metamorphic rocks.
Prerequisites: Earth Sciences 2030, 2502.
NOTE: Credit cannot be obtained for both Earth Sciences 203A/B and one or both of Earth Sciences 2030 and 2031.
2150. The Solar System (F) (W). Basic astronomy of the Solar System, tracing the search to understand motion of the Sun, Moon and planets in the sky; modern observations of planets, moons, comets, asteroids and meteorites and what they tell us about the origin and evolution of the Solar System.
Prerequisite: Mathematics 1000 (or 1081).
NOTE: Earth Sciences 2150 is designed for students taking Earth Sciences as an elective subject and may only be used as a non-Science elective for Earth Sciences Majors and Earth Sciences Honours students.
2310. Interpretation of Maps and Sections in Earth Sciences (F). An introduction to the concepts and methods of recording and interpreting data using geological maps, aerial photographs, satellite images, geophysical techniques and lithological sections; basic principles of stratigraphy, and the economic applications of maps and remote sensing. This course includes a compulsory field school immediately preceding the start of the Fall Semester, and has a laboratory component.
Prerequisites: Earth Sciences 1001, Mathematics 1000 (or Mathematics 1081), Physics 1054 (or Physics 1021), and permission of the Head of Department.
NOTES: 1) This course is normally only available to declared Earth Sciences majors, joint majors, and minors.
2) Credit may not be obtained for both Earth Sciences 2310 and the former Earth Sciences 2300.
2400. Plate Tectonics (W). The concepts of plate dynamics and associated geological processes based on modern observations, and their application to the geological record. Laboratories will include the use of computer modelling techniques and an introduction to the relationship of physical environments of rock formation with plate tectonic setting.
Prerequisites: Earth Sciences 1000, Chemistry 1001, Mathematics 1000 (or Mathematics 1081), Physics 1054 (or Physics 1021).
NOTE: Credit may not be obtained for both Earth Sciences 2400 and the former Earth Sciences 2161.
2502. Geochemistry of Earth Materials I (F). The course provides an overview of geochemistry including the origin and classification of elements, radioactivity and geologic time, and chemical differentiation of the solar system and solid Earth. The geochemistry of oceans, atmosphere, sediments and sedimentary rocks, and geochemical cycling and mixing at all scales also will be discussed. This course has a laboratory component that emphasizes analytical geochemistry skills.
Prerequisites: Earth Sciences 1000, Chemistry 1001.
2503. Geochemistry of Earth Materials II (W). The course builds on material from ES 2502 focusing on the transfer of mass and energy in geochemical systems. Topics to be covered include phase equilibria and their applications to magmas, metamorphic and sedimentary systems and geochemical fluids. Application of kinetic principles to these systems also will be presented. This course has a laboratory component that emphasizes problem solving and computer simulation.
Prerequisites: EITHER Earth Sciences 2502; OR Earth Sciences 1000, Chemistry 2210, and Chemistry 2300.
2914. Natural Resources and the Past (F). (Same as former Geology 2414 and Earth Sciences 2414). An analysis of the Earth's physical environment and resources, and the history of man's exploitation of them; emphasis is placed on insights provided by Earth Sciences into the contemporary human predicament.
NOTE: Earth Sciences 2914 is designed for students taking Earth Sciences as an elective subject. This course complements traditional disciplines such as history, economics, and political science and should be of particular interest to teachers. This course may only be used as a non-science elective for Earth Sciences Major and Earth Sciences Honours students.
2915. Natural Resources and the Future (W). (Same as former Geology 2415 and Earth Sciences 2415). A survey of pressures on the Earth's natural resources and policies for their management; special attention is given to the role of energy in society.
NOTE: Earth Sciences 2915 is designed for students taking Earth Sciences as an elective subject. This course complements traditional disciplines such as history, economics, and political science and should be of particular interest to teachers. This course may only be used as a non-science elective for Earth Sciences Majors and Earth Sciences Honours students.
THIRD YEAR
3053. Igneous and Metamorphic Petrology (F). Petrography and petrology of igneous and metamorphic rocks; fractionation and differentiation of common igneous rocks; metamorphic reactions and mineral assemblages of common metamorphic rocks; microstructures of igneous and metamorphic rocks. Laboratories include hand specimen and thin section studies and simple phase diagram problems.
Prerequisites: Earth Sciences 2031 and Earth Sciences 2502 (or Chemistry 2300).
NOTE: Credit may not be obtained for Earth Sciences 3053 and any of the former Earth Sciences 3050, 3051 or 3052.
3170. Exploration Geophysics I (W). Fundamentals of seismic energy transmission in the Earth; basic methods in seismic exploration - data acquisition, processing and interpretation for refraction and reflection surveys; fundamentals of gravity and magnetic data acquisition, processing and interpretation; introduction to gravity and magnetic modelling. This course has a laboratory component.
Prerequisites: Earth Sciences 2310; Mathematics 2000 or Statistics 2510.
3172. Exploration Geophysics II (F). Introduction to electrical and electromagnetic methods in geophysics applied in mineral exploration, petroleum well logging and environmental studies, and examples of application of various techniques; use of data processing and modelling techniques in interpretation; introduction to radiometric methods used in mineral and petroleum exploration. This course has a laboratory component.
Prerequisites: Earth Sciences 2310; Mathematics 2000 or Statistics 2510.
3179. Geophysical Analysis. Vector Calculus; curvilinear coordinates; line, surface and volume integration; integral theorems; the derivation and application of geophysically important partial differential equations - Laplace's equation to the Earth's gravity and magnetic fields, the diffusion equation to the Earth's heat flow, and the wave equation to electromagnetic and seismological phenomena; geophysical uses of Legendre functions; Fourier analysis in geophysics; introductory Cartesian tensors. This course has a laboratory component to familiarize the student with practical applications of the tools discussed.
Lectures: Three hours per week.
Laboratories: Three hours per week.
Prerequisites: Mathematics 2000, Mathematics 2050, Physics 2055.
3210. Economic Mineral Deposits (W). An introduction to the study of mineral deposits and definition of the basic physio-chemical parameters of ore deposit formation. The course involves a systematic review of genetic models for the principal types of metallic mineral deposits, and links these models to a common theme of the relationship between lithosphere-hydrosphere-biosphere interactions and metallogeny. Laboratory exercises involve examination of representative suites of samples from different types of metallic mineral deposits and provide an introduction to the use of reflected light microscopy.
Prerequisites: EITHER Earth Sciences 2031, 2310 and 2502; OR Earth Sciences 2031 and Chemistry 3211; OR Engineering 3610 and Engineering 3205.
3400. Structural Geology (F). (Same as former Geology 3120 and Earth Sciences 3120). Introduction to basic concepts; the physics of rock deformation, the classification and descriptive geometry of major and minor structures and their relationship to stress and strain. Laboratory work will concentrate on analysis of structural orientation data, and the analysis of structures in geological maps and cross-sections. This course requires, as part of its laboratory component, satisfactory completion of the one-week third-year field school which takes place immediately preceding the start of the fall semester.
Prerequisite: Earth Sciences 2310.
3600. Environmental Geology (F). The application of basic concepts and fundamental principles of geochemistry in evaluating natural and human-induced change through time on the interaction of the Earth's lithosphere, hydrosphere, atmosphere and biosphere; includes the effects of contaminants and resource exploitation on the natural environment. Laboratory time will be used for short field-based studies and for exercises examining the effects of contaminants on global change. This course requires, as part of its laboratory component, satisfactory completion of the one-week third-year field school which takes place immediately preceding the start of the fall semester.
Prerequisites: EITHER Earth Sciences 2502; OR Earth Sciences 1000, Chemistry 2210 and Chemistry 2300.
3611. Engineering Geology (W). Basic concepts in soil, rock and fracture mechanics; classification of soil, rock and rock masses; special topics include the engineering and environmental aspects and issues of: slope development and underground excavations in soils and rocks; the development of hydroelectric and irrigation projects; the nuclear fuel cycle; resource developments in sensitive terrains. This course includes a laboratory component.
Prerequisites: Earth Sciences 3400 and 3600, or permission of instructor.
NOTE: Credit may not be obtained for Earth Sciences 3611 and the former Earth Sciences 4611.
3701. Sedimentology (F). (Same as former Geology 3070 and Earth Sciences 3070). A study of the origin, composition and diagenesis of sediments and selected modern environments of deposition. Laboratories involve local field trips and the study of hand samples and thin sections of sedimentary rocks. This course requires, as part of its laboratory component, satisfactory completion of the one-week third-year field school which takes place immediately preceding the start of the fall semester.
Prerequisites: Earth Sciences 2310 and 2031.
3811. Paleontology (W). An outline of the major changes in life forms from Archean times through the Phanerozoic to the present day, including details of invertebrate and vertebrate faunas and major floral groups; mechanisms and effects of mega-, macro- and microevolution in the fossil record; biology and classification of organisms and summaries of their geological significance in biostratigraphy, paleoecology and rock-building; relationships between major cycles of evolution and extinction to global processes. This course has a laboratory component.
Prerequisites: EITHER Earth Sciences 1001 and Biology 2120 (or Biology 1001 and 1002), OR Biology 2122 and 2210.
NOTE: Credit may not be obtained for Earth Sciences 3811 and Biology 3811, or either the former Earth Sciences 3801 or Biology 3800.
FOURTH YEAR
NOTE: Not all Fourth Year courses may be offered every year.
4053. Petrogenesis of Igneous Rocks. Phase equilibria in the major classes of igneous rocks; the production, ascent and differentiation of magmas; the variation in chemistry of individual magmatic classes with tectonic setting; the variation in eruptive styles and products with different magma systems. This course has a laboratory component.
Prerequisites: Earth Sciences 2503, 3053 and 3400.
4054. Mineralogy and Metamorphic Petrology. Equilibrium thermo-dynamics and reaction kinetics as applied to mineralogy and metamorphic petrology; the interpretation of PTX conditions and rate-controlling mechanisms from mineral assemblages. Laboratories include use of XRD and electron-probe methods to collect data for use in calculations of the conditions of formation of metamorphic mineral assemblages.
Prerequisites: Earth Sciences 2503, 3053 and 3400.
NOTE: Credit may not be obtained for Earth Sciences 4054 and either of the former Earth Sciences 4030 or 4052.
4160. Solid Earth Physics. Advanced treatment of the gravity and magnetic fields of the Earth; body and surface waves, free oscillations; electrical, thermal and mechanical transport properties of the Earth.
Prerequisites: Earth Sciences 3161, 3179 and Physics 3821.
4171. Exploration Geophysics III. Techniques involved in the processing and interpretation of multichannel seismic reflection data, including muting, filtering, velocity analysis, normal moveout corrections, binning, stacking and migration. Laboratory-based assignments demonstrate the typical steps involved in processing data.
Prerequisites: Earth Sciences 3170, 3179, 4179 and Applied/Pure Mathematics 3260.
4173. Exploration Geophysics IV. Advanced techniques in electrical and electromagnetic exploration methods including advanced IP, airborne EM surveys, EM and IP modelling, and inversion techniques; advanced methods in gravity and magnetic field exploration techniques including 2-D and 3-D modelling and inversion, map processing techniques, and excess mass determination. This course has a laboratory component.
Prerequisites: Earth Sciences 3170, 3172 and 3179; Physics 3500.
4179. Digital Signal Processing. Introduction to the theory and basic computational techniques of digital signal processing in geophysics. Topics covered include: sampling, Fourier transformation, design and application of digital filters, deconvolution, spectral analysis, two dimensional signal processing, with emphasis on geophysical applications.
Prerequisite: Either Earth Sciences 3170, 3172 or 3179.
4211. Economic Geology. A detailed look at the methodologies and techniques used in the study of mineral deposits and their applications in case histories. Laboratory exercises involve solving problem sets using the various types of data from selected case studies.
Prerequisites: Earth Sciences 2503 and 3210.
4302. Advanced Marine Geology. The geology and geophysics of ocean basins; discussion of methods of oceanic exploration, the history and development of ocean basins, interrelationships between ocean water, marine organisms, sedimentary and igneous processes.
Prerequisites: Earth Sciences 1001 and completion of any 15 credit hours in core courses at the 3000-level (see General Note 5 above) in Biology, Biochemistry, Chemistry, Earth Sciences, Physics, or Geography.
4310. Earth Science Concepts, Materials and Techniques for Archaeologists. This course will provide Archaeology students with geological information to apply to problems encountered during the course of their work; Newfoundland material will be emphasized; topics covered will include field techniques, rock and mineral identification, petrographic analysis, x-ray, geochemical and geophysical techniques, stratigraphy, and late- and post-glacial history of Newfoundland. This course includes a laboratory component.
NOTE: Entry to this course is restricted primarily to Anthropology Majors, and permission of the Head of the Department of Earth Sciences is required. It may not be used as a credit by Earth Sciences Majors or Honours students.
4312. Advanced Topics in Stratigraphy. A lecture and seminar course to illustrate ongoing problems related to the definition and correlation of system boundaries with major faunal turnovers, global physical events, radiometric dating, magnetostratigraphy and chemostratigraphy.
Prerequisites: Earth Sciences 3600 and 3811.
4400. Advanced Techniques in Structural Geology. Modern techniques of structural analysis applied to fold and fault systems including progressive deformation and strain analysis, fold mechanisms, fold morphology and classification, fold sections and profiles, superposed folding, fault geometry and morphology, brittle and ductile shear zones, and construction of balanced cross-sections. This course includes a laboratory component.
Prerequisites: Earth Sciences 3400 and 4901.
4502. Advanced Geochemistry. An analysis of the chemical fluxes and mass balances within the Earth, focusing on geochemical modelling of Earth processes; includes applications of radiogenic and stable isotope geochemistry.
Prerequisites: Earth Sciences 2503, 3053 and 3600.
4503. Mineral Exploration Geochemistry. An examination of the application of geochemistry to mineral exploration, covering: the chemical characteristics of ore deposits and element dispersion from them; the principles of sampling and analysis in exploration geochemistry; approaches to the statistical analysis, graphical presentation, and interpretation of survey results; and the design of effective geochemical surveys. Particular emphasis will be placed on exploration in glaciated terranes. Laboratory/seminar sessions involve working with exemplary data sets, using both graphical and computer-based techniques.
Prerequisites: Earth Sciences 2503 and 3210.
4601. Petroleum Origin and Occurrence. The origin, migration, accumulation and exploration of petroleum resources, emphasizing typical reservoir styles, potential reservoir lithologies, geological and geophysical methods of exploration, and basic concepts of formation evaluation. This course includes a laboratory component.
Prerequisites: Earth Sciences 2502, 3701 and 3170 (or 3172).
4610. Hydrogeology. Geology and its relationship to groundwater occurrence and exploitation: basic theory, groundwater flow systems, surface-groundwater interactions and changes in water quality, field and laboratory techniques, hydrogeological aspects of waste disposal and resource development. This course includes a laboratory component.
Prerequisites: Earth Sciences 2502 or permission of instructor.
4700. Sedimentary Environments and Facies Models. A detailed examination of recent carbonate and clastic sedimentary environments, formulation of facies models and application of this knowledge to the geological record. Laboratory time includes local excursions and seminars.
Prerequisite: Earth Sciences 3701.
4702. Applied Quaternary Geology. Processes and sedimentary facies in glacial, peri-glacial and associated non-glacial environments; Quaternary stratigraphy and chronology; practical applications including surfical mapping. Laboratory time includes local excursions.
Prerequisites: Earth Sciences 3701, 3811; Geography 3150.
4800. Advanced Paleontology. (Same as former Geology 4110 and Earth Sciences 4110). A lecture, laboratory and seminar course dealing with selected topics in general paleontology, including evolution, sources of ontogenetic variation, population paleontology, functional morphology, paleoecology, and statistical methods employed in paleontological studies.
Prerequisites: Earth Sciences 3811, and Statistics 2510 or Mathematics 2000.
4901. Tectonic Regimes (F). A lecture and seminar course describing the tectonic regimes of the lithosphere, with emphasis on the interactions of structure, sedimentology, igneous-metamorphic petrology and paleogeography; topics covered include stress and deformation of the lithosphere, and the evolution of passive, conservative and active margins; regional examples will stress North American geology.
Prerequisites: Earth Sciences 3053, 3400 and 3701.
NOTE: Credit may not be obtained for Earth Sciences 4901 and the former Earth Sciences 4320.
4902. Early Evolution of the Earth (F). A lecture and seminar course concerned with the segregation of the blue planet from the solar nebula and its differentiation into atmosphere, crust, mantle and core, followed by the interaction of these elements to produce the hydrosphere; topics include the thermal evolution of the Earth, and crust-mantle-core interactions.
Prerequisites: Earth Sciences 1000 and completion of any 15 credit hours in core courses at the 3000-level (see General Note 5 above) in Biology, Biochemistry, Chemistry, Earth Sciences, or Physics; or permission of instructor.
4903. Global Change (W). A lecture and seminar course that studies the interaction of the atmosphere, biosphere and lithosphere; topics covered include the evolution of the biosphere, fluid circulation, global geochemical budget, global environmental changes, and chemical evolution of the hydrosphere.
Prerequisites: Earth Sciences 1001, Biology 2120 (or Biology 1001 and 1002), and completion of any 15 credit hours in core courses at the 3000-level (see General Note 5 above) in Biology, Biochemistry, Chemistry, Earth Sciences, or Physics; or permission of instructor.
4905. Field Course in Geological Mapping and Regional Tectonics (F). A two-week field school designed to allow application of techniques introduced in the third year, and to provide an introduction to the Appalachian geology of western and central Newfoundland. Reports must be submitted for grading during the fall semester. The course may be taken by others with the permission of the Head of the Department.
Prerequisites: Earth Sciences 3053 and 3400.
4910-4920. Special Topics in Earth Sciences. Lecture and seminar courses given for undergraduates in their fourth or fifth year who wish to gain more specialized knowledge in a particular field of Earth Sciences than is possible through the standard course offerings. The Department will consider suggestions by students for Special Topics courses, but it must be borne in mind that such a course should normally be approved at least three months before the start of the semester in which it is to be taken.
Prerequisites: Permission of the Head of Department.
4950. Technical Report on Geoscience Employment. Preparation of a publication-quality technical report, about 50 pages in length, based on a study undertaken during geoscience employment. The topic and scope of the study must be approved by the Head of Department prior to its commencement. The same study cannot be used as the basis of a dissertation completed for course ES499A/B. Students will present a seminar or seminars on results of the project, and will be closely advised on proper organization and writing of scientific reports. Some directed reading will be required. This course can only be used as an "additional course" under point (g) of the regulations for General degrees, and under point (h) of the regulations for Honours degrees.
Prerequisites: Completion of nine credit hours in Earth Sciences at 3000-level, and permission of the Head of Department.
499A & 499B. Dissertation. A six-credit hour linked course based on independent study of an approved problem in the Earth Sciences. The subject of study will be decided in consultation with Faculty Advisors and must be approved in advance by the Head of Department. The dissertation cannot be based on the same study used to obtain credit for Earth Sciences 4950. The dissertation is obligatory for Honours students, but may be taken as Science credits by General students with permission of the Head. The first semester will normally involve directed reading, supervised laboratory work, and preparation of a dissertation outline. The second semester will be devoted to data synthesis and interpretation, and to preparation of a formal written report accompanied by appropriate illustrations, to be submitted for grading no later than a formal examination period early in the university examination schedule.
For Departmental Regulations and Course Descriptions, see Faculty of Arts section of the Calendar.
PROGRAMMES IN MATHEMATICS AND STATISTICS
From the point of view of degree regulations, APPLIED MATHEMATICS, PURE MATHEMATICS and STATISTICS are considered to be one subject area.
The following undergraduate programmes are available in the Department:
a) Major in Applied Mathematics (B.Sc. only)
b) Major in Pure Mathematics
c) Major in Statistics
d) Honours in Applied Mathematics (B.Sc. only)
e) Honours in Pure Mathematics
f) Honours in Statistics
g) Minor in Mathematics
h) Minor in Statistics
i) Pure Mathematics/Statistics Joint Honours
j) Pure Mathematics/Computer Science Joint Major (B.Sc.
only)
k) Statistics/Computer Science Joint Major (B.Sc. only)
l) Applied Mathematics/Chemistry Joint Honours (B.Sc.
only)
m) Applied Mathematics/Physics Joint Honours (B.Sc. only)
n) Pure Mathematics/Computer Science Joint Honours
(B.Sc. only)
o) Statistics/Computer Science Joint Honours (B.Sc. only)
p) Statistics/Biology Joint Honours (B.Sc. only)
Details of programmes (i) through (p) are given after the Honours B.Sc. regulations.
REGULATIONS
1) The department administers a skills diagnostic called the Math Skills Inventory (MSI). It may be written only once, normally in the Spring or in the Fall. Consult the department for exact times and locations. The MSI may be used by students to assess preparedness for university mathematics courses and it is one way for students completing high school (Academic) Mathematics 3200 or 3203 to qualify for entry to Math 1080. See the Math 1080 calendar listing below for complete prerequisites.
2) With the exception of students who graduate in the B.Ed. programme in Primary or Elementary Education, no student will receive credit for more than nine credit hours in Mathematics from the following list: 1000, 1031, 1050, 1051, 1080, 1081, 1150, 1151.
3) Of the required Applied Mathematics, Pure Mathematics, and Statistics courses in any Major or Joint Major programme, no more than two shall be at the 1000 level.
4) In the programme descriptions that follow, M 1000 may be replaced by M 1081.
5) Credit may be obtained for only one of Statistics 2500, 2510, Statistics 2550 and Psychology 2900. Credit may be obtained for only one of Statistics 2501, 2511, 2560 and Psychology 2901. Credit may be obtained for only one of Statistics 3520 and Psychology 3900.
6) Students with credits in Mathematics or Statistics not listed in this Calendar must consult the department for equivalency before taking any course listed below.
7) The former Mathematics 1150 and Mathematics 1151 were courses designed specifically for students who intended to graduate with a degree in Primary or Elementary Education. No other students can receive credit for these courses. These courses are not acceptable as alternatives to any other First Year Mathematics course listed in this calendar. Students who have received credit for Education 125 or Mathematics 115/125 cannot receive additional credit for the former Mathematics 1150 or Mathematics 1151 or the current M 1050 or M 1051.
FACULTY ADVISORS
Each student registered in any programme listed above (except for a Minor) will be assigned a FACULTY ADVISOR. Each student's programme must be planned with the advice of the Faculty Advisor before presentation to the Head of the Department or his delegate, for approval.
NOTE: The Department of Mathematics and Statistics will endeavour to give appropriate advice to students registered in its programmes. However, the department points out that it is the responsibility of the student to see that his or her academic programme meets the University's regulations in all respects. Students are referred to the University's General Regulations, item I. The department accepts no responsibility for any matter arising from an inappropriate and/or improperly recorded registration.
COURSE NUMBERING SYSTEM
All undergraduate courses offered by the Department of Mathematics and Statistics are identified to YEAR by the first digit and to SUBJECT AREA by the second digit as follows:
First Digit
1- First Year
2- Second Year
3- Third Year
4- Fourth and Fifth Year
Second Digit
0- Common Core
1- Applied Mathematics
2- Applied Mathematics and Pure Mathematics
3- Pure Mathematics
4- Pure Mathematics and Statistics
5- Statistics
| 1000 | 1011 | 3210 | 3120 | |
| 1000 | 150B | 3260 | 3060 | |
| 1000 | 1201 | 3301 | 3130 | |
| 1001 | 2012 | 3320 | 3031 | |
| 1001 | 2082 | 3330 | 3040 | |
| 1050 | 1021 | 3331 | 3041 | |
| 1050 | 1150 | 3340 | 3250 | |
| 1051 | 1151 | 3370 | 3200 | |
| 1080 | 1010 | 3410 | 3510 | |
| 1080 | 1011 | 3411 | 3511 | |
| 1080 | 1200 | 4132 | 3900 | |
| 1080 | 1201 | 4160 | 4061 | |
| 1080 | 150B | 4170 | 4070 | |
| 1081 | 1010 | 4230 | 4110 | |
| 1081 | 1011 | 4301 | 4350 | |
| 1081 | 1200 | 4302 | 4130 | |
| 1081 | 1201 | 4310 | 4120 | |
| 1081 | 150B | 4320 | 4035 | |
| 2000 | 2013 | 4321 | 4030 | |
| 2000 | 2083 | 4331 | 4031 | |
| 2001 | 3010 | 4340 | 4251 | |
| 2051 | 3032 | 4341 | 4250 | |
| 2090 | 3400 | 4370 | 4150 | |
| 2320 | 2052 | 4375 | 4800 | |
| 3132 | 3080 | 4400 | 4500 | |
| 3161 | 4060 | 4401 | 4501 | |
| 3190 | 3090 | 4402 | 4502 | |
| 3202 | 3011 | 4410 | 4510 |
MAJOR IN APPLIED MATHEMATICS (B.Sc. only)
Students shall complete the following requirements:
a) M 1000, M 1001, M 2000, M 2001, M 2050, M 2051,
AM 2130, AM 3132, AM 3161, AM 3190, AM/PM 3201,
AM/PM 3202, AM/PM 3260, AM 4160, AM 4190;
b) Computer Science 2602;
c) Physics 1050 and 1052; or Physics 1200, 1201 and
2050.
d) ST 2510 is highly recommended.
MAJOR IN PURE MATHEMATICS
Students shall complete the following requirements:
a) M 1000, M 1001, M 2000, M 2001, M 2050, AM 2130,
ST 2510, PM 2320, AM/PM 3202, AM/PM 3260,
PM 3320, PM 3330;
b) Nine further credit hours in Pure Mathematics courses
numbered 3000 or higher, at least three credit hours of
which must be in courses numbered 4000 or higher;
c) Computer Science 2602.
d) M 2051 is highly recommended.
MAJOR IN STATISTICS
Students shall complete the following requirements:
a) M 1000, M 1001, M 2000, M 2001, M 2050, M 2051,
PM/ST 3410, PM/ST 3411, ST 3520, ST 3521, ST 3530,
ST 4590;
b) Nine further credit hours in Statistics courses numbered
3000 or higher at least three credit hours of which must
be in a course numbered 4000 or higher;
c) Computer Science 2602.
d) AM/PM 3201 is highly recommended.
HONOURS IN APPLIED MATHEMATICS (B.Sc. only)
See General Regulations for Honours Degree. Students shall complete the following:
a) M 1000, M 1001, M 2000, M 2001, M 2050, M 2051,
AM 2130, AM 3101, AM 3111, AM 3132, AM 3161,
AM 3190, AM/PM 3201, AM/ PM 3202, AM/PM 3210,
AM/PM 3260, PM/ST 3410, AM 4160, AM 4162,
AM 4170, AM 4180 AM 4190, AM 4199;
b) Computer Science 2700 (or Computer Science 2602);
c) Physics (1050 and 1052) or Physics (1200, 1201, and
2050); Physics 3220, and Physics 3230;
d) nine further credit hours in courses to be chosen from
the following: AM/PM 3240, PM/ST 3411, AM 4100,
AM 4102, AM 4131, AM 4132, AM 4133, AM 4140,
AM 4161, AM/PM 4230, AM/PM 4240,
AM/PM 4280-4290.
HONOURS IN PURE MATHEMATICS
See General Regulations for Honours Degree. Students shall complete the following requirements:
a) M 1000, M 1001, M 2000, M 2001, M 2050, M 2051,
AM 2130, PM 2320, ST 2510, AM/PM 3201, AM/
PM 3202, AM/PM 3210, AM/PM 3260, PM 3300,
PM 3301, PM 3320, PM 3330, PM 4300, PM 4310,
PM 4399;
b) Either PM 3340 or 3370;
c) Either PM 4320 or 4321;
d) Twelve further credit hours in Pure Mathematics courses
numbered 3000 or higher, at least nine credit hours of
which must be in courses numbered 4000 or higher;
e) Computer Science 2602.
HONOURS IN STATISTICS
See General Regulations for Honours Degree. Students shall complete the following requirements:
a) M 1000, M 1001, M 2000, M 2001, M 2050, M 2051,
AM/PM 3201, AM/PM 3202, AM/PM 3210, PM/ST 3410,
PM/ST 3411, ST 3520, ST 3521, ST 3530, PM/ST 4410,
ST 4590, ST 4599;
b) Eighteen further credit hours in Statistics courses
including at least twelve credit hours in courses numbered 4000 or higher;
c) Computer Science 2602, Computer Science 3731.
d) PM/ST 4400 and PM/ST 4401 are recommended.
MINOR IN MATHEMATICS
A total of twenty-four credit hours in courses offered by the Department of Mathematics and Statistics is required of which only six credit hours shall be in courses at the 1000 level and at least six credit hours shall be in courses numbered 3000 or higher.
MINOR IN STATISTICS
The courses required for a minor in Statistics are:
a) Mathematics 1000, 1001; Statistics 2500 or 2510 or
2550; Statistics 2501 or 2560.
b) Twelve further credit hours in Statistics courses numbered 3000 or higher.
It is recommended that M 2000 and M 2050 be taken since they are prerequisite to several further Statistics courses.
COURSE LIST
In the descriptions of the courses which follow, the symbol (F) represents the fall and (W) represents winter. These labels are intended to indicate the semester when the course is generally offered. Unlabelled courses are offered as demand or programmes dictate and as resources permit. The department tries to offer a variety of 1000-, 2000- and 3000-level courses during the spring semester (or intersession or summer session) every year. Students are encouraged to consult the department regularly for specific planned offerings, semester by semester.
FOUNDATION COURSES
102F, 103F, and 104F. Mathematics Skills Programme. Non-credit courses intended for those students who either have a weak background in mathematics or are returning to the subject after some years. The programme enables students to master mathematical operations such as those involving whole numbers, fractions, decimals, percents, integers, exponents, linear equations, algebraic and rational expressions, formulas, graphs, systems of linear equations, basic trigonometry, exponents and radicals, and quadratics.
COMMON CORE MATHEMATICS COURSES
1000. Calculus I (F)(W). An introduction to differential Calculus including logarithmic, exponential and trigonometric functions.
Four hours per week.
Prerequisite: Level III Advanced Mathematics.
NOTE: Credit cannot be obtained for both Mathematics 1000 and Mathematics 1080, nor for both Mathematics 1000 and Mathematics 1081.
1001. Calculus II (F)(W). An introduction to integral Calculus with applications. In addition to three lectures per week there will be a one and one-half hour problem lab.
Prerequisite: Mathematics 1000 or 1081.
NOTE: Credit cannot be obtained for both M 1001 and either Engineering 1411 or Engineering 2413.
1031. Mathematical Problem Solving. An introduction to the theory and practice of mathematical problem solving. The course will present and illustrate problem-solving strategies.
Four hours per week.
Prerequisite: Three 1000 level Mathematics credit hours and
permission of the department.
1050. Finite Mathematics I (F)(W). Topics covered include sets, logic, permutations, combinations, elementary probability, and descriptive statistics.
Four hours per week.
Prerequisite: Either Level III Academic Mathematics or Level III
Advanced Mathematics.
NOTES: 1) With the exception of those already admitted at the time of registration in this course to a B.Ed. programme that requires this course, students who already have obtained credit for six or more Mathematics credit hours numbered 2000 or above are not permitted to register for this course nor can they receive credit for it.
2) Credit cannot be obtained for M 1050 and the former Mathematics 1150.
1051. Finite Mathematics II (F)(W). Topics covered include elementary matrices, linear programming, elementary number theory, mathematical systems, and geometry.
Four hours per week.
Prerequisite: Either Level III Academic Mathematics or Level III
Advanced Mathematics.
NOTES: 1) With the exception of those already admitted at the time of registration in this course to a B.Ed. programme that requires this course, students who already have obtained credit for six or more Mathematics credit hours numbered 2000 or above are not permitted to register for this course nor can they receive credit for it.
2) Credit cannot be obtained for M 1051 and the former Mathematics 1151.
1080. Calculus Readiness (F)(W). Emphasis on development of pre-calculus topics with an introduction to the calculus.
Four hours per week.
Prerequisite: One of the following: (I) Level III Advanced Mathematics; (ii) Level III Academic Mathematics with a grade of at least 70%;
(iii) Level III Academic Mathematics and a Math Skills Inventory
score of at least 50%; (iv) M104F.
NOTE: Credit cannot be obtained for both Mathematics 1000 and Mathematics 1080.
1081. Differential Calculus I (F)(W). Continuation of Mathematics 1080. Differential calculus of functions of a single variable.
Four hours per week.
Prerequisite: M 1080.
NOTE: Credit cannot be obtained for both Mathematics 1000 and Mathematics 1081.
2000. Calculus III (F)(W). A study of the differential calculus of functions of two variables, an introduction to convergence of infinite sequences and series. In addition to three lectures per week there will be a one and one-half hour problem lab.
Prerequisite: M 1001.
NOTE: Credit cannot be obtained for both M 2000 and any of Engineering 1411, Engineering 1412, Engineering 2412, Engineering 2413.
2001. Introductory Real Analysis (F)(W). Analysis on the real line, number systems, functions, sequences, limits, continuity, uniform continuity, differentiation.
Prerequisite: M 2000.
2050. Linear Algebra I (F)(W). Topics include Euclidean n-space, vector operations in R2 and R3, complex numbers, linear transformations on Rn, matrices, determinants, and systems of linear equations.
Prerequisite: M 1000 or six credit hours in first year Mathematics courses.
NOTE: Credit cannot be obtained for both M 2050 and Engineering 2402.
2051. Linear Algebra II (F)(W). Topics include real and complex vector spaces, basis, dimension, change of basis, eigenvectors, inner products, and diagonalization of Hermitian matrices.
Prerequisite: M 2050.
2075. Introduction to the History of Mathematics. Elementary number theory, primes, modular arithmetic, groups and fields, applications. Evolution of the number concept. Euclid's elements, Archimedes, Apollonius, Kepler. Regular polyhedra and polygons, Euler's formula, symmetry. Latin and Euler squares, finite geometries, some applications.
Prerequisite: Mathematics 1001 or at least nine credit hours in other Mathematics or Statistics courses.
2090. Mathematics of Finance. Topics covered are: simple and compound interest and discount, forces of interest and discount, equations of value, annuities and perpetuities, amortization schedules and sinking funds, bonds and other securities.
Prerequisite: M 1001.
APPLIED MATHEMATICS COURSES
2130. Introductory Numerical Techniques (W). A course designed to introduce students to the computer as a working tool, numerical implementation of methods developed in Calculus including Newton's method, Simpson's rule and numerical differentiation, computer graphics as a tool for studying functions of several variables and functions described parametrically.
Prerequisites: Mathematics 1001 and Computer Science 2700 (or Computer Science 2602).
NOTE: First priority for enrolment in this course is given to students who are Applied or Pure Mathematics majors. Other students wishing to register should direct inquiries to the head of department.
3101. Applied Analysis. A rigorous treatment of topics in differential and integral Calculus, Riemann integration, Fourier series, integral representation of functions.
Prerequisites: AM/PM 3201.
3111. Applied Complex Analysis. Mapping by elementary functions, conformal mapping, applications of conformal mapping, Schwartz-Christoffel transformation, Poisson integral formula, poles and zeros, Laplace transforms and stability of systems, analytic continuation.
Prerequisite: AM/PM 3210.
3132. Numerical Analysis I (W). Introduction to numerical analysis, round-off error, iterative methods for nonlinear equations in one variable, interpolation and polynomial approximation, discrete least-squares approximation, numerical differentiation and integration, initial value problems for ordinary differential equations.
Prerequisites: AM 2130 and AM/PM 3260.
NOTE: Credit cannot be obtained for both AM 3132 and Computer Science 3731.
3161. Ordinary Differential Equations II (F). Power series solutions, method of Frobenius, Bessel functions, Legendre polynomials and others from classical Physics, systems of linear first order equations, fundamental matrix solution, nonlinear equations and stability, Liapunov's method, existence and uniqueness of solutions.
Prerequisites: AM/PM 3202 and AM/PM 3260.
3190. Introduction to Mathematical Modelling (W). A study of how mathematical models are constructed in such disciplines as ecology and biology, for example, models in population dynamics, genetics, evolution and epidemiology, the role of hypotheses and the effects of various modelling techniques, continuous, discrete, deterministic and stochastic models.
Prerequisites: AM 2130 and AM/PM 3260. ST 2510 is highly recommended.
3201. Convergence of Sequences and Series (F). Infinite series of constants, sequences and series of functions, uniform convergence, Taylor series, improper integrals.
Prerequisite: M 2001 and M 2050.
3202. Vector Calculus (F). Functions of several variables, Lagrange multipliers, vector valued functions, directional derivatives, gradient, divergence, curl, transformations, Jacobians, inverse and implicit function theorems, multiple integration including change of variables using polar, cylindrical and spherical co-ordinates, Green's theorem, Stokes' theorem, divergence theorem, line integrals, arc length.
Prerequisite: Either (I) M 2001 and M 2050 or (ii) M 2000, M 2050 and two of the following Physics courses: P 2053, P 2054, P 2055, P 2056.
NOTE: Credit cannot be obtained for both AM/PM3202 and Physics 3810.
3210. Introduction to Complex Analysis (F). Complex numbers, analytic functions of a complex variable, differentiation of complex functions and the Cauchy-Riemann equations, complex integration, Cauchy's theorem, Taylor and Laurent series, residue theory and applications.
Prerequisite: M 2001.
3240. Applied Graph Theory (F). Definitions and basic properties, graph colouring, planarity, trees, Eulerian and Hamiltonian chains, shortest route problems, network flows, emphasis on applications including scheduling problems, transport networks, tournaments, facilities design and structure of molecules.
Prerequisite: Either M 2051 or PM 2320.
NOTE: Credit cannot be obtained for both AM/PM 3240 and Computer Science 3741.
3260. Ordinary Differential Equations I (F)(W). Direction fields, equations of first order and first degree, higher order linear equations, variation of parameters, methods of undetermined coefficients, Laplace transforms, systems of differential equations. Applications include vibratory motion, satellite and rocket motion, pursuit problems, population models and chemical kinetics.
Prerequisite: M 2000.
NOTE: Credit cannot be obtained for both AM/PM 3260 and Engineering 3411.
4100. Applied Functional Analysis. Generalized functions and distributions, normed spaces, convergence, completeness and equivalent norms, contraction mapping theorem with applications to differential and integral equations, Hilbert space, Bessel, Parseval and Riesz-Fischer theorems, orthogonal decomposition, functionals in Hilbert space, bounded and self-adjoint operators, eigenvalue problem, spectral theorem.
Prerequisite: AM 3101 and AM 3111.
4102. Stochastic Methods in Applied Mathematics. Random walk, Markov chains, discrete branching processes, Markov processes in continuous time, homogeneous birth and death processes, queuing processes, applications of stochastic processes in genetics, epidemiology, population dynamics and diffusion.
Prerequisite: PM/ST 3410 and AM/PM 3260.
NOTE: Credit cannot be obtained for both AM 4102 and PM/ST 4402.
4131. Numerical Linear Algebra. Direct methods for solving linear systems, iterative techniques in matrix algebra, numerical solution of systems of nonlinear equations.
Prerequisite: AM 3132.
4132. Introduction to Optimization. Introduction to optimization, analytic methods for functions of one variable and for functions of several variables, classical maxima and minima, necessary and sufficient conditions, constrained optimization, equality and inequality constraints, Kuhn-Tucker conditions, introduction to the calculus of variations, linear programming, simplex algorithm.
Prerequisite: AM/PM 3260 and AM/PM 3202.
4133. Numerical Optimization. Numerical methods for functions of one variable, for functions of several variables including unrestricted search, sequential uniform search, irregular search, non-gradient methods, gradient methods with and without constraints, geometric programming, selection of other topics from dynamic programming, integer programming, etc., solution of applied problems by numerical optimization.
Prerequisites: AM 4131 and AM 4132.
4140. Introduction to Mathematical Control Theory. Introduction to control theory, matrix solution of linear uncontrolled and controlled systems, linear control systems, controllability, observability, linear feedback, state observers, stability, criteria, Nyquist condition, Liapunov theory, stability and control, optimal control, Pontryagin's principle, linear regulator, solution of applied problems including resource management using optimal control theory.
Prerequisites: M 2051 and AM 3161.
4160. Partial Differential Equations I (W). Two point boundary value problems, Fourier series, Sturm-Liouville theory, canonical forms, classification and solution of linear second order partial differential equations in two independent variables, separation of variable, integral transform methods.
Prerequisites: AM/PM 3202 and AM/PM 3260.
4161. Integral Equations. Types of integral equations, first and second kind Volterra equations, Volterra equations with difference kernels, method of Laplace transformation, singular Volterra equations, second kind Fredholm equations, Fredholm equations with degenerate kernels, Fredholm series, Fredholm theorems, integral equations with symmetric kernels, Hilbert-Schmidt theorem, first kind Fredholm equations, Hammerstein integral equations.
Prerequisite: AM 4100.
4162. Numerical Methods for Partial Differential Equations. Finite differences, finite elements, discretization schemes, stability analysis. Application to parabolic, elliptic and hyperbolic problems.
Prerequisite: AM 3132, AM 4160.
4170. Partial Differential Equations II. First order equations, Cauchy problems, Cauchy-Kowalewska theorem, second order equations, canonical forms, wave equations in higher dimensions, method of spherical means, Duhamel's principle, potential equation, Dirichlet and Neuman problem, Green's function and fundamental solution, potential theory, heat equation, Riemann's method of integration, method of plane and Riemann waves for systems of PDEs of the first order.
Prerequisite: AM 4160.
4180. Introduction to Fluid Dynamics. (Same as Physics 4205). Basic observations, mass conservation, vorticity, stress, hydrostatics, rate of strain, momentum conservation (Navier-Stokes equation), simple viscous and inviscid flows, Reynolds number, boundary layers, Bernoulli's and Kelvin's theorems, potential flows, water waves, thermodynamics.
Prerequisites: Physics 3220 and either AM 4160 or Physics 3821.
4190. Mathematical Modelling (W). The intent of this course is to develop students' skills in mathematical modelling and competence in oral and written presentations. Case studies in modelling will be analyzed. Students will develop a mathematical model and present it in both oral and report form.
Prerequisite: AM 3132, AM 3161, AM 3190, and AM 4160.
4199. Applied Mathematics Honours Project. The student, with supervision by a member of the department, will prepare a dissertation in an area of Applied Mathematics. Although original research work by the student will not normally be expected, the student must show an ability and interest to learn and organize material independently. A one hour presentation at the end of the semester will be given by the student.
Prerequisite: Registration in an Honours or Joint Honours programme in Applied Mathematics.
4230. Differential Geometry. Theory of curves, Frenet relations, curvature and torsion, singular points of curves, first and second quadratic forms, classification of points on a surface, Gaussian curvature, Gauss-Weingarten theorem, Christoffel's symbols, theorema Egregium, Gauss-Cadazzi-Mainardi theorem, internal geometry of surfaces, isometric and conformal mappings, geodesic curvature and torsion, parallel displacement, Gauss-Bonnet theorem.
Prerequisite: AM/PM 3202.
4240. Differential and Integral Calculus on Manifolds. Definition and properties of differential manifolds, differentiable maps, tangent spaces, differential of a map, rank of a map, submersion, immersion, submanifolds, Lie group and algebra, one-parameter subgroups, exponential map, canonical co-ordinates, adjoint representation, Lie transformation groups, homogeneous spaces of Lie groups, fibre bundles.
Prerequisite: AM/PM 4230.
4280-4290. Special Topics in Pure and Applied Mathematics.
Prerequisite: Permission of Head of Department.
NOTE: Consult the department for a list of titles and information regarding availability.
PURE MATHEMATICS COURSES
2320. Discrete Mathematics (F)(W). Topics include fundamental principles of counting, sets and set operations, principle of inclusion-exclusion, relations including equivalence relations and partial orders, search and sort algorithms, basic properties of integers including well-ordering, mathematical induction, the division and Euclidean algorithms, and fundamental theorem of arithmetic.
Prerequisite: M 1001 or M 2050.
3201. Convergence of Sequences and Series (F). Infinite series of constants, sequences and series of functions, uniform convergence, Taylor series, improper integrals.
Prerequisite: M 2001 and M 2050.
3202. Vector Calculus (F). Functions of several variables, Lagrange multipliers, vector valued functions, directional derivatives, gradient, divergence, curl, transformations, Jacobians, inverse and implicit function theorems, multiple integration including change of variables using polar, cylindrical and spherical co-ordinates, Green's theorem, Stokes' theorem, divergence theorem, line integrals, arc length.
Prerequisite: Either (I) M 2001 and M 2050 or (ii) M 2000, M 2050 and two of the following Physics courses: P 2053, P 2054, P 2055, P 2056.
NOTE: Credit cannot be obtained for both AM/PM3202 and Physics 3810.
3210. Introduction to Complex Analysis (F). Complex numbers, analytic functions of a complex variable, differentiation of complex functions and the Cauchy-Riemann equations, complex integration, Cauchy's theorem, Taylor and Laurent series, residue theory and applications.
Prerequisite: M 2001.
3240. Applied Graph Theory (F). Definitions and basic properties, graph colouring, planarity, trees, Eulerian and Hamiltonian chains, shortest route problems, network flows, emphasis on applications including scheduling problems, transport networks, tournaments, facilities design and structure of molecules.
Prerequisite: Either M 2051 or PM 2320.
NOTE: Credit cannot be obtained for both AM/PM 3240 and Computer Science 3741.
3260. Ordinary Differential Equations I (F)(W). Direction fields, equations of first order and first degree, higher order linear equations, variation of parameters, methods of undetermined coefficients, Laplace transforms, systems of differential equations. Applications include vibratory motion, satellite and rocket motion, pursuit problems, population models and chemical kinetics.
Prerequisite: M 2000.
NOTE: Credit cannot be obtained for both AM/PM 3260 and Engineering 3411.
3300. Set Theory. Introduction to Mathematical Logic, functions, equivalence relations, equipotence of sets, finite and infinite sets, countable and uncountable sets, Cantor's Theorem, Schroeder-Bernstein Theorem, ordered sets, introduction to cardinal and ordinal numbers, logical paradoxes, the axiom of choice.
Prerequisite: M 2001.
3301. Integration and Metric Spaces. Brief review of the Riemann integral, Riemann-Stieltjes integration, metric spaces, the Baire Category Theorem, uniform continuity, the Banach Contraction principle, the Weierstrass Approximation Theorem and the Stone-Weierstrass Theorem are covered.
Prerequisite: AM/PM 3201.
3303. Introductory Geometric Topology. Graphs and the four colour problem. Orientable and non-orientable surfaces, triangulation, Euler characteristic, classification and colouring of compact surfaces. Basic point-set topology. The fundamental group, including the fundamental groups of surfaces. Knots and the Wirtinger presentation of the knot group.
Prerequisite: PM 2320.
3320. Abstract Algebra (F). An introduction to groups and group homomorphisms including cyclic groups, cosets, Lagrange's theorem, normal subgroups and quotient groups, introduction to rings and ring homomorphisms including ideals, prime and maximal ideals, quotient rings, integral domains and fields.
Prerequisite: PM 2320.
3321. Applied Algebra. The emphasis is on applications of algebra to other important areas: the construction and error-correcting capabilities of group codes, Boolean algebras and switching circuits, fast sorting and fast addition, polynomial rings, the discrete Fourier transform, fast multiplication, finite fields, polynomial and BCH codes.
Prerequisite: PM 3320.
3330. Euclidean Geometry (F). Classical Euclidean geometry of the triangle and circle. The inversion transformation, including the theorem of Feuerbach. Elliptic and hyperbolic geometries.
Prerequisite: PM 2320 or M 2051.
3331. Projective Geometry. Course topics include: projective space, the principle of duality, mappings in projective space, conics and quadrics.
Prerequisite: PM 2320 or M 2051.
3340. Introductory Combinatorics (W). Topics include distributions, the binomial and multinomial theorems, Stirling numbers, recurrence relations, generating functions and the inclusion-exclusion principle. Emphasis will be on applications.
Prerequisite: PM 2320 or M 2051.
3370. Introductory Number Theory (F). Perfect numbers and primes, divisibility, Euclidean algorithm, greatest common divisors, primes and the unique factorization theorem, congruences, cryptography (secrecy systems), Euler-Fermat theorems, power residues, primitive roots, arithmetic functions, Diophantine equations, topics above in the setting of the Gaussian integers.
Prerequisite: PM 2320 or M 2001 or M 2051.
3410. Mathematical Statistics I (F). Basic probability concepts, some special probability distributions, sampling distributions, transformation of random variables, limiting distributions, central limit theorem.
One hour tutorial period weekly.
Prerequisite: M 2000.
3411. Mathematical Statistics II (W). Parametric estimation, properties of estimators, maximum likelihood principles, MVU estimation, Rao-Cramér inequality, efficiency, testing hypotheses, Neyman-Pearson lemma, likelihood ratio test, Sufficient statistics.
One hour tutorial period weekly.
Prerequisite: PM/ST 3410.
4230. Differential Geometry. Theory of curves, Frenet relations, curvature and torsion, singular points of curves, first and second quadratic forms, classification of points on a surface, Gaussian curvature, Gauss-Weingarten theorem, Christoffel's symbols, theorema Egregium, Gauss-Cadazzi-Mainardi theorem, internal geometry of surfaces, isometric and conformal mappings, geodesic curvature and torsion, parallel displacement, Gauss-Bonnet theorem.
Prerequisite: AM/PM 3202.
4240. Differential and Integral Calculus on Manifolds. Definition and properties of differential manifolds, differentiable maps, tangent spaces, differential of a map, rank of a map, submersion, immersion, submanifolds, Lie group and algebra, one-parameter subgroups, exponential map, canonical co-ordinates, adjoint representation, Lie transformation groups, homogeneous spaces of Lie groups, fibre bundles.
Prerequisite: AM/PM 4230.
4280-4290. Special Topics in Pure and Applied Mathematics.
Prerequisite: Permission of Head of Department.
NOTE: Consult the department for a list of titles and information regarding availability.
4300. General Topology. Topological structure on a set, neighborhood, open and closed sets, continuity, subspaces and quotient spaces, connectedness, relation between topologies, base and subbase, product spaces, applications to Euclidean spaces. Hausdorff, regular, normal and compact spaces, metric spaces, compacta and continua, metrizability.
Prerequisite: PM 3300 or PM 3301, or both M 2001 and PM 3303.
4301. Algebraic Topology. Categories and functors, algebraic and geometric preliminaries, simplicial homology groups. Chain complexes, homology theories. Singular homology theory. Cohomology groups. Fundamental group and homotopy groups.
Prerequisite: PM 3320 and PM 4300.
4302. Functional Analysis. Banach spaces, dual spaces, Hilbert spaces, linear operators and linear functionals.
Prerequisite: PM 3301.
4310. Complex Function Theory. Topology of C, analytic functions, Cauchy's theorem with proof, Cauchy integral formula, singularities, argument principle, Rouche's theorem, maximum modulus principle, Schwarz's lemma, harmonic functions, Poisson integral formula, analytic continuation, entire functions, gamma function, Riemann-Zeta function, conformal mapping.
Prerequisite: PM 3301 and AM/PM 3210.
4320. Ring Theory. Factorization in integral domains, structure of finitely generated modules over a principal ideal domain with application to Abelian groups, nilpotent ideals and idempotents, chain conditions, the Wedderburn-Artin theorem.
Prerequisite: PM 3320.
4321. Group Theory. Permutation groups, Sylow theorems, normal series, solvable groups, solvability of polynomials by radicals, introduction to group representations.
Prerequisite: PM 3320.
4331. Galois Theory. Irreducible polynomials and field extensions. Galois groups and the solution of equations by radicals.
Prerequisite: M 2051 and PM 3320.
4340. Combinatorial Analysis. This course continues most of the topics started in PM 3340 with further work on distributions, recurrence relations and generating functions. Generating functions are used to solve recurrence relations in two variables. Also included is a study of Polya's theorem with applications.
Prerequisite: M 2000 and PM 3340.
4341. Combinatorial Designs. This course includes the study of finite fields, Latin squares, finite projective planes and balanced incomplete block designs.
Prerequisite: PM 3320 or PM 3340.
4370. Number Theory. Continued fractions, an introduction to Diophantine approximations, selected Diophantine equations, the Dirichlet product of arithmetic functions, the quadratic reciprocity law, and factorization in quadratic domains are covered.
Prerequisite: PM 3370.
4375. History of Mathematics. The development of Mathematics from the seventeenth century to the beginning of the twentieth century as exemplified by the work of mathematicians such as Newton, Euler, Lagrange, Gauss, and Poincare.
Prerequisite: Permission of Head of Department.
4399. Pure Mathematics Dissertation. The student, with supervision by a member of the department, will prepare a dissertation in an area of Pure Mathematics. Although original research by the student will not normally be expected, the student must show an ability and interest to learn and organize material independently. A one hour presentation at the end of the semester will be given by the student.
Prerequisite: Registration in an Honours or Joint Honours programme in Pure Mathematics.
4400. Lebesgue Integration. Review of Riemann integration, outer measure, measure, measurable sets, measurable functions, the Lebesgue integral, properties of the Lebesgue integral, sequences of integrals, Fubini's theorem.
Prerequisite: PM 3201.
4401. Probability Theory. Abstract measure and integration, probability concepts, random variables, independence, Borel-Cantelli lemmas, sums of independent random variables.
Prerequisite: M 2001 and PM/ST 3410.
4402. Stochastic Processes. The course covers stochastic processes, stationarity, random walks, Markov chains, renewal, and queuing.
Prerequisite: PM/ST 3410.
NOTE: Credit cannot be obtained for both AM 4102 and PM/ST 4402.
4410. Mathematical Statistics III. Multivariate normal distribution theory, applications to ANOVA and regression, chi-square tests, other topics such as sequential tests, distribution of order statistics, nonparametrics and decision theory.
Prerequisite: M 2051 and PM/ST 3411.
STATISTICS COURSES
NOTES: 1) In all 2000-level statistics courses, statistical computer packages will be used but no prior computing experience is assumed.
2) All 2000-level statistics courses, ST3410, ST3411, ST4590, and ST4591 have a laboratory period weekly.
2500. Statistics for Business and Arts Students. Descriptive statistics (including histograms, stem-and-leaf plots and box plots), elementary probability, discrete random variables, the binomial distribution, the normal distribution, sampling distribution, estimation and hypothesis testing including both one and two sample tests, paired comparisons, chi-square test, correlation and regression. Related applications.
Prerequisite: M1000 or six credit hours in first year courses in Mathematics or registration in at least semester 3 of a B.N. program or permission of the head of department.
NOTE: Credit can be obtained for only one of ST2500, ST2510, ST2550, and Psychology 2900. Normally offered twice a year, including the fall.
2501. Further Statistics for Business and Arts Students. Power calculation and sample size determination, analysis of variance, multiple regression, nonparametric statistics, index numbers, time series analysis, introduction to sampling techniques.
Prerequisite: ST2500 or ST2510 or ST2550
NOTE: Credit can be obtained for only one of ST2501, ST2560, the former ST2511, and Psychology 2901.
2510. Statistics for Physical Science Students. Descriptive statistics, elementary probability, discrete probability distribution, the binomial distribution. Poisson distribution, the normal distribution, introduction to statistical inference, hypothesis testing, including one and two sample tests, chi-square test, correlation and regression, applications to related disciplines.
Prerequisite: M1000 or M1081.
NOTE: Credit can be obtained for only one of ST2500, ST2510, ST2550, Psychology 2900, and Engineering 2421. Normally offered twice a year, including the fall.
2550. Statistics for Life Science Students. An introduction to basic statistics methods with an emphasis on applications to life sciences and, in particular, to biology. Material includes descriptive statistics, elementary probability, binomial distribution, normal distribution, sampling distribution, estimation and hypothesis testing (both one and two sample cases), chi-square test, analysis of variance, correlation and regression.
Prerequisite: M1000 or M1081.
NOTE: Credit can be obtained for only one of ST2500, ST2510, ST2550, and Psychology 2900. Normally offered twice a year, including the fall.
2560. Further Statistics for Science Students. Discrete and continuous distributions, hypothesis testing, type I and type II errors, analysis of variance for single and multi-factor designs, multiple regression, nonparametric tests, special topics, applications to scientific disciplines.
Prerequisite: ST2500 (with M1000 or M1081) or ST2510 or ST2550.
NOTE: Credit can be obtained for only one of ST2501, ST2560, the former ST2511, and Psychology 2901.
3410. Mathematical Statistics I (F). Basic probability concepts, some special probability distributions, sampling distributions, transformation of random variables, limiting distributions, central limit theorem.
One hour tutorial period weekly.
Prerequisite: M 2000.
3411. Mathematical Statistics II (W). Parametric estimation, properties of estimators, maximum likelihood principles, MVU estimation, Rao-Cramér inequality, efficiency, testing hypotheses, Neyman-Pearson lemma, likelihood ratio test, Sufficient statistics.
One hour tutorial period weekly.
Prerequisite: PM/ST 3410.
3520. Experimental Design I (F). Introduction to basic concepts in experimental design, single factor designs including completely randomized, randomized blocks, Latin square and related designs, multiple comparison tests, fixed and random effects models, introduction to factorial design.
Prerequisite: M 2050 and either PM/ST 3411 or both M 1001 and one of ST 2501 or ST 2511.
NOTE: Credit cannot be obtained for both ST 3520 and Psychology 3900.
3521. Regression (W). Inferences in linear regression analysis, matrix approach to regression analysis, multiple linear regression, model selection, polynomial regression, indicator variable, problem of simultaneous inferences, multicollinearity.
Prerequisite: M 2050 and either PM/ST 3411 or both M 1001 and one of ST 2501 or ST2560 or the former ST2511.
3530. Survey Sampling I (F). Basic concepts, randomization, sampling frames, stratified sampling, the analysis of subclasses, cluster sampling, stratified cluster sampling, unequal clusters, ratio estimates selection with probabilities proportional to size.
Prerequisite: Either PM/ST 3411 or both M 1001 and one of ST 2501 or ST2560 or the former ST2511.
3540. Time Series I. Autocovariance, autocorrelation and correlation, stationarity, autoregressive, moving average and ARMA models, differencing, the integrated ARMA process, parameter estimation, model identification and diagnostic testing, forecasting, seasonal models, the use of data transformation.
Prerequisite: Either PM/ST 3411 or both M 1001 and one of ST 2501 or ST2560 or the former ST2511.
3570. Reliability and Quality Control. Analysis of life, mortality and failure data, standard parametric models in reliability, quality control charts and cumulative sum charts, tolerance limits, contingency tables, interactions, application of sequential sampling.
Prerequisite: Either PM/ST 3411 or both M 1001 and one of ST 2501 or ST 2560 or the former ST 2511.
3590. Statistics in Applied Research. This is an introductory course in how to conduct and analyze statistical surveys and experiments, research designs, problem formulation, basic sampling schemes, sample size determination, questionnaire design, pilot studies, selection of statistical analysis techniques using flow charts, data screening, simple exploratory data analysis, applications of basic statistical methods, flaws and fallacies in statistical thinking.
Prerequisite: Either PM/ST 3411 or both M 1001 and one of ST 2501 or ST 2560 or the former ST 2511.
4400. Lebesgue Integration. Review of Riemann integration, outer measure, measure, measurable sets, measurable functions, the Lebesgue integral, properties of the Lebesgue integral, sequences of integrals, Fubini's theorem.
Prerequisite: PM 3201.
4401. Probability Theory. Abstract measure and integration, probability concepts, random variables, independence, Borel-Cantelli lemmas, sums of independent random variables.
Prerequisite: M 2001 and PM/ST 3410.
4402. Stochastic Processes. The course covers stochastic processes, stationarity, random walks, Markov chains, renewal, and queuing.
Prerequisite: PM/ST 3410.
NOTE: Credit cannot be obtained for both AM 4102 and PM/ST 4402.
4410. Mathematical Statistics III. Multivariate normal distribution theory, applications to ANOVA and regression, chi-square tests, other topics such as sequential tests, distribution of order statistics, nonparametrics and decision theory.
Prerequisite: M 2051 and PM/ST 3411.
4520. Experimental Design II. Selected topics in ANOVA and ANCOVA including factorial experiments and unbalanced designs.
Prerequisite: ST 3520.
4530. Survey Sampling II. Area sampling, multi-stage sampling, two-phase sampling, ratio, regression and difference estimates, composite sampling designs, sampling from imperfect frames, bias and non-sampling errors.
Prerequisites: M 2000 and ST 3530.
4540. Time Series II. Analysis of time series in the time domain, including stationary and non-stationary processes, autocovariance kernels and their estimators, analysis of autoregressive and moving average models, spectral analysis including the power spectrum and its estimators, periodogram, smoothed and filtered estimators.
Prerequisite: PM/ST 3411 and ST 3540.
4550. Non-parametric Statistics. Inferences concerning location based on one sample, paired samples or two samples, inferences concerning scale parameters, goodness-of-fit tests, association analysis, tests for randomness.
Prerequisites: Either PM/ST 3411 or both M 2000 and either ST 2501 or ST 2560 or the former ST 2511.
4560. Continuous Multivariate Analysis. The multivariate normal distribution and its marginal and conditional distributions, properties of the Wishart distribution, Hotelling's T2 statistic, a selection of techniques chosen from among MANOVA, multivariate regression, principal components, factor analysis, discrimination and classification, clustering.
Prerequisite: M 2051, PM/ST 3410, and one of ST 2501 or ST 2560 or the former ST 2511 or PM/ST 3411.
4561. Discrete Multivariate Analysis. Analysis of cross-classified categorical data, chi-square test, measures of association, multidimensional contingency tables, hypotheses of partial and conditional independence, log-linear models for Poisson, multinomial and product-multinomial sampling schemes, iterative scaling technique for maximum likelihood estimation, step-wise model selection procedures, partitioning chi-square, explanatory and response variables in contingency tables, logit models.
Prerequisite: ST 3520 or ST 3521.
4580. History of Statistics. The development of Statistics from the seventeenth to the beginning of the twentieth century as exemplified by the life and work of Bernoulli, De Moivre, Laplace, Gauss, Quetelet, Galton, Pearson, Gosset, and Fisher.
Prerequisite: Six Third Year Statistics credit hours.
4581. Quantitative Methods in Biology. (Same as Biology 4605). Statistical analysis of diversity indices, sampling biological and marine populations, multivariate statistical methods in ecology, stochastic models, special topics.
Prerequisite: Biology 2600 and either ST 2560 or the former ST 2511 or PM/ST 3411.
4585. Computational Statistics. An introduction to modern computational statistics, using a statistical programming language, such as S-Plus. Emphasis is placed on use of the computer for numerical and graphical exploratory data analysis, and on crafting programs to accomplish specialized statistical procedures.
Prerequisites: M2000, ST 3520, ST 3521. AM/PM 2130 is recommended.
4590. Statistical Analysis of Data I (F). For users of Statistics with emphasis placed on computer analysis of statistical problems drawn from various disciplines, descriptive statistics, analysis of univariate measurement data, chi-square tests, non-parametric tests, basic ANOVA and regression.
Prerequisite: ST 2501 or ST 2560 or the former ST 2511 or PM/ST 3411.
4591. Statistical Analysis of Data II. For users of Statistics with emphasis placed on computer analysis of statistical problems drawn from various disciplines, use of multivariate statistical techniques, special topics in ANOVA, ANCOVA and multivariate regression, factor analysis, canonical correlation analysis, discriminant analysis, cluster analysis, multiway frequency tables, further selected topics.
Prerequisite: ST 4590.
4599. Honours Comprehensive with Directed Readings. A directed reading course with Comprehensive examination for students in Honours or Joint Honours Degree programmes in Statistics ONLY.
Prerequisite: Registration in an Honours or Joint Honours programme in Statistics.
PHYSICS AND PHYSICAL OCEANOGRAPHY
PROGRAMMES IN PHYSICS
The following undergraduate programmes are available in the Department:
- Major in Physics
- Honours in Physics
- Applied Mathematics/Physics Joint Honours
- Physics/Chemistry Joint Honours
- Physics/Computer Science Joint Honours
- Physics/Computer Science Joint Major
- Physics/Earth Sciences Joint Honours
- Physics/Earth Sciences Joint Major
- Minor in Physics
Details of these joint programmes are given after the Honours B.Sc. Regulations. Other joint programmes may be arranged in consultation with the departments concerned.
NOTES: 1) The attention of students intending to follow any one of the programmes listed above is drawn to the University Regulations governing the appropriate degree. Additional Departmental requirements are given below.
2) Faculty advisors are appointed to provide advice to students who are registered in, or who are considering registering in, any of the programmes. Students are urged to consult with these advisors at their earliest opportunity in order to ensure that they select appropriate courses and programmes. Students with credits in Physics courses which are not listed in this calendar should consult with the Department.
3) The accelerated, six course stream consisting of Physics 1050, 1054, 2053, 2054, 2055 and 2056, or alternatively the seven course stream of Physics 1020, 1021, 1054, 2053, 2054, 2055 and 2056 is intended to provide a cohesive overview of Physics for potential Physics majors.
4) Physics 1050 is open to and recommended for students who have completed Level II Physics, Level III Physics and Level III Advanced Mathematics. Mathematics 1000 must be taken at the same time as, or be completed prior to, taking Physics 1050.
5) Physics 1020 is intended for students who do not qualify for Physics 1050, and while it may be taken by students who have no background in Physics it is recommended that students wishing to take Physics 1020 should have completed at least one of Level II and Level III Physics. Students who complete Physics 1020 and Mathematics 1000 are eligible for admission to Physics 1054.
6) For the purposes of fulfilling Physics degree requirements and prerequisites for higher level physics courses Physics 1020/1054 will be considered equivalent to Physics 1050/1054 provided the following criteria are satisfied
- Completed Level II and Level III Physics
- Completed Physics 1020 with a grade of A
- Completed Mathematics 1000
Such students are not required to take Physics 1021
7) Physics 1000 is primarily intended for non-science majors, and may not be taken in lieu of any other first year courses. Physics 1000 may be taken as a preparatory course for Physics 1020 and 1021 by students who do not have a high level of general attainment in Level III examinations and who have not completed Levels II and III Physics. Students taking Physics 1000 as a preparatory course are encouraged to take foundation Mathematics or Mathematics 1080 concurrently. Physics 1000 may not be used as one of the Physics courses required for a Major or Honours degree in Physics, nor as one of the 26 science courses required for the B.Sc. degree. Students may receive credit for only one of Physics 1000, 1050 and 1020.
8) Students who have successfully completed Advanced Placement courses in both Physics and Mathematics will normally be eligible for direct entry into Physics 1054, 2053 and 2054, all of which are offered in the Fall semester. Such students are advised to consult the Department.
9) Physics 2000 is offered at Sir Wilfred Grenfell College only. It may not be used as one of the Physics courses required for a Major or Honours degree in Physics, nor as one of the 26 science courses required for the B.Sc. degree.
10) Where circumstances warrant, any prerequisites listed below may be waived by the Head of the Department.
11) Supplementary examinations will be allowed in certain Physics courses which have written final examinations. Students should refer to the Faculty of Science Degree regulations for details.
MINOR IN PHYSICS
A minor in Physics will consist of 24 credit hours in Physics courses which must include Physics 1050, 1054 (or 1020, 1021 and 1054), 2053, 2054, 2055, 2056. For those students whose major is Chemistry, the 24 credit hours in Physics will not include P2053.
MAJOR IN PHYSICS
The following courses are prescribed:
a) English 1080 and English 1110 (or equivalent).
b) Chemistry 1000 and 1001 or equivalents
c) Mathematics 1000 and 1001, or Mathematics 1080,
1081 and 1001
d) Mathematics 2000 and AM/PM 3260.
e) Physics 1050 and 1054, or Physics 1020, 1021 and
1054.
f) A minimum of 33 additional credit hours in Physics
courses which shall include courses numbered 2053,
2054, 2055, 2056, 3220, 3400, 3500, 3550, 3750, 3751,
and 3900.
g) Physics 3810 or AM/PM 3202
Mathematics 1001 and 2000 are prerequisites to many Physics courses and should be completed by the end of second year. AM/PM 3260 is corequisite to Physics 3220 and should be completed before the winter of the third year. Those who intend to make a career in Physics should note that additional Physics courses are strongly recommended.
HONOURS IN PHYSICS
The following courses are prescribed:
a) English 1080 and English 1110 (or equivalent).
b) Chemistry 1000 and 1001.
c) Mathematics 1000 (or 1080 and 1081) and 1001.
d) Mathematics 2000, 2001 and AM/PM 3260.
e) Computer Science 3731.
f) Physics 1050 and 1054 (or 1020, 1021, and 1054)
g) Physics 2053, 2054, 2055, 2056, 3220, 3230, 3400,
3410, 3500, 3550, 3600, 3750, 3751, 3820, 3821, 3900,
3920, 4500, 4850, 490A/B.
h) Physics 3810 or AM/PM 3202.
i) One of Physics 4200, 4205, 4210, 4820.
j) One of Physics 4000, 4600, 4710, 4851.
k) Twelve credit hours in applicable elective courses*
NOTE: Certain of the graduate courses may be taken in the final year of the Honours Programme with the permission of the Head of the Department.
*Chemistry 1800, Mathematics 1080 and 1081, and Physics 1020 and 1021 may not be used as electives in the 120 credit hours required for the Honours programme under k) above. Inclusion of Chemistry 1800, substitution of Mathematics 1080 and 1081 for Mathematics 1000, or substitution of Physics 1020 and 1021 for Physics 1050 will each increase the number of credit hours required for the Honours Physics programme by three.
An Honours thesis is to be presented on work undertaken by the candidate under the guidance of a Department of Physics faculty member. The thesis comprises the six-credit hour course Physics 490A/B. Students should seek departmental advice regarding a thesis project no later than the winter preceding the semester in which the project will be started.
The Honours Physics programme in and beyond the third year requires a familiarity with computer programming. In choosing electives for this programme, students should note that the prerequisites for Computer Science 3731 include Computer Science 2602 or Computer Science 2710 or permission of the Head of Computer Science.
The Department recommends that students wishing to complete the Honours Physics programme in 120 credit hours follow the schedule given below. This schedule is intended for students who qualify for Physics 1050 and 1054. Other suggested course schedules are available from the Head of the Department.
| English 1080 | English 1110 (1101, 1102) | |
| Chemistry 1000 | Chemistry 1001 | |
| Mathematics 1000 | Mathematics 1001 | |
| Physics 1050 | Physics 1054 | |
| Elective | Elective or Physics 2056 |
| Mathematics 2000 | Mathematics 2001 | |
| Physics 2053 | AM/PM 3202 | |
| Physics 2054 | AM/PM 3260 | |
| Elective | Physics 2055 | |
| Elective | Physics 2056 or Elective |
| Physics 3220 | Physics 3230 | |
| Physics 3400 | Physics 3750 | |
| Physics 3550 | Physics 3500 | |
| Physics 3600 | Physics 3900 | |
| Physics 3820 | Physics 3821 |
| Physics 3751 | Physics 3410 | |
| Physics 4500 | Physics 3920 | |
| Physics 490A | Physics 490B | |
| Physics 4850 | Physics Elective | |
| Computer Science 3731 | Physics Elective |
| 1020 | 1200 | 2055 | 2550 | |
| 1021 | 1201 | 2056 | 2700 | |
| 1021 | 1051 | 3220 | 3200 | |
| 1054 | 1052 | 3230 | 2210 | |
| 1054 | 2050 | 3750 | 3700 | |
| 1054 | 2200 | 3750 | 3850 | |
| 2053 | 2450 | 490A/B | 4990 | |
| 2054 | 2550 |
Physics 1021 and the former Physics 1201 will be considered equivalent for prerequisite purposes. Physics 1054 and the former Physics 1052 and 2050 will be considered equivalent for prerequisite purposes.
NOT ALL COURSES ARE OFFERED EVERY YEAR. STUDENTS SHOULD CHECK WITH THE DEPARTMENT PRIOR TO REGISTRATION TO PLAN PROGRAMMES.
COURSE LIST
1000. Introduction to Physics. An introduction for non-science majors, to motion, force, energy, momentum, fluids, and selected topics from optics, electricity and magnetism. Emphasis is placed on the concepts and processes of physics with investigations of relevant physics phenomena in our natural environment. Ample time is reserved for the application of fundamental mathematical processes to the solution of physics problems.
Lectures: Four hours per week.
Laboratory: Three hours per week.
NOTE: Students considering taking this course are referred to note 7 above.
1020. Introductory Physics I (F) & (W). A non-calculus based introduction to mechanics.
Prerequisite: Mathematics 1000 or 1080, which may be taken concurrently. It is recommended that students have completed at least one of level II and level III high school physics courses, however this course may be completed by someone who has no physics background provided some extra effort is made.
Lectures: Three hours per week plus an optional one hour tutorial.
Laboratory and/or Tutorial: Up to three hours per week.
1021. Introductory Physics II (W). A non-calculus based introduction to fluids, wave motion, light, optics, electricity and magnetism.
Prerequisite: Physics 1020 or 1050. Mathematics 1000 or 1081,
which may be taken concurrently.
Lectures: Three hours per week plus an optional one hour tutorial.
Laboratory and/or Tutorial: Up to three hours per week.
1050. General Physics I: Mechanics (F). A calculus based introduction to mechanics. The course will emphasize problem solving.
Prerequisite: Mathematics 1000, which may be taken concurrently.
Lectures: Three hours per week.
Laboratory and/or Tutorial: Up to three hours per week.
1054. General Physics II: Computational Physics and Data Analysis (F) & (W). An introduction to computer-based data acquisition and analysis, numerical analysis, and problem solving. These processes are combined with introductions to probability and statistics, complex numbers and matrix algebra, with particular application to oscillations and waves.
Prerequisites: Physics 1050 or 1020 and Mathematics 1001. Math
1001 may be taken concurrently.
Lectures and Laboratories: Up to 5 hours per week
NOTE: This course will be offered for the first time in the Winter semester of 1997.
2000. Physics in Contemporary Society. The nature of scientific thinking; the scientific method, the logic of physics, concepts used in physical science, objectivity versus subjectivity, science and philosophy. Physical concepts; concepts of space, time, causality, identity, energy. Concepts of relativity, quantum concepts, concepts in thermodynamics, concepts of matter.
Lectures: Two hours per week - instructional address and discussion; one hour per week - general discussion.
NOTE: Students considering taking this course are referred to note 9 above.
2040. Applied Physics for Life Sciences I. The following topics will be included: body mechanics, elementary fluid mechanics, heat and energy processes, bio-electricity and bio-magnetism.
Prerequisites: Six credit hours in any first year Physics courses
except Physics 1000.
Lectures: Three hours per week.
Laboratory: Three hours per week.
2041. Applied Physics for Life Sciences II. A continuation of discussion of topics available to Life Sciences including Psychology: sound, Physics of hearing, optics, Physics of vision, colours, optical instruments, molecular processes, radiation Physics. This course may be taken by students who have not completed Physics 2040.
Prerequisites: Six credit hours in any first year Physics courses
except Physics 1000.
Lectures: Three hours per week.
Laboratory: Three hours per week.
2050. Introductory Physics III (F). This course prepares students who have taken Physics 1200 and 1201 for additional courses in Physics. It reviews material of Physics 1200 and 1201, but at a calculus based level.
Prerequisite: Physics 1201, and Mathematics 1000 or 1081.
Lectures: Three hours per week.
NOTE: Credit cannot be obtained for Physics 2050 by students who have already completed Physics 1052. This course will be offered for the last time in the Fall semester of 1996.
2053. General Physics III: Fluids and Thermal Physics (F). Introduction to sound, elasticity, fluid mechanics, thermodynamics, kinetic theory and statistical mechanics.
Prerequisites: Mathematics 1001, Physics 1050 (or 1020 and 1021),
and Physics 1054. Mathematics 1001 and Physics 1054 may be
taken concurrently.
Lectures: Three hours per week.
Laboratory: Three hours per week.
2054. General Physics IV: Electromagnetism, Light and Optics (F) & (W). Electrostatics, currents and Ohm's law, magnetism, electromagnetic induction, electromagnetic waves, geometric optics, interference and diffraction.
Prerequisites: Mathematics 1001, Physics 1050 (or 1020 and 1021),
and Physics 1054. Mathematics 1001 and Physics 1054 may be
taken concurrently.
Lectures: Three hours per week.
Laboratory: Three hours per week.
2055. General Physics V: Electricity and Magnetism (W). Gauss' Law, the electrostatic potential, capacitance, magnetic forces and the magnetic field, electromagnetic induction, magnetic materials, ac circuits, superconductivity, the displacement current and Maxwell's equations.
Prerequisites: Math 2000 and Physics 2054. Math 2000 may be
taken concurrently.
Lectures: Three hours per week.
Laboratory: Three hours per week.
2056. General Physics VI: Modern Physics (W). Special relativity, quanta of light, atomic structure and spectral lines, quantum structure of atoms and molecules, nuclei and elementary particles.
Prerequisites: Mathematics 1001, Physics 1050 (or 1020 and 1021),
and Physics 1054. Mathematics 1001 and Physics 1054 may be
taken concurrently.
Lectures: Three hours per week.
Laboratory: Three hours per week.
2151. Stellar Astronomy and Astrophysics (F) & (W). Atomic structure and spectra. The sun: radiation, energetics, magnetic field. Stars: distance, velocity, size, atmospheres, interiors. Variable stars, multiple stars, clusters and stellar associations. Stellar evolution, interstellar matter, structure of the Milky Way Galaxy. Exterior galaxies, quasi-stellar objects, pulsars. Cosmology.
Prerequisites: Six credit hours in Mathematics courses at the first
year level.
Lectures: Three hours per week.
3150. Astrophysics I (F). Review of macroscopic and microscopic physics. The sun: luminosity, mass, spectrum, photosphere, corona, interior. Principles of stellar structure; radiative and convective transport of energy. The virial theorem. Thermonuclear fusion; temperature dependence; the solar neutrino problem. Nucleosynthesis; the curve of binding energy; the synthesis of heavy elements. White dwarfs, neutron stars, and black holes; degenerate electron and neutron gases; Chandrasekhar's Limit. Population I and Population II stars; the Hertzsprung-Russell diagram; relationships among luminosity, mass, and effective temperature for main sequence dwarfs. Evolution of post main sequence stars.
Prerequisites: Physics 2053, 2054 and 2056.
Lectures: Three hours per week.
3151. Astrophysics II (W). Stellar spectra and classification of stars. Hertzsprung-Russell diagram; equations of stellar structure for a star in equilibrium; temperature and density dependencies of nuclear processes. Formation and classification of binary stars; mass and energy transfer in binary star systems; semidetached binaries; cataclysmic variables, pulsars, etc. Galaxies and galactic structure; active galactic nuclei; cosmological redshift. Cosmology.
Prerequisites: Physics 3150 and 3220.
Lectures: Three hours per week.
3220. Classical Mechanics I (F). Kinematics and dynamics of a particle. Moving reference systems. Celestial mechanics. Systems of particles.
Prerequisites: Physics 1050 (or 1020 and 1021), Physics 1054 and
AM/PM 3260. AM/PM 3260 may be taken concurrently.
Lectures: Three hours per week.
3230. Classical Mechanics II (F). Rigid body motion. Lagrange's equations. Hamilton's equations. Vibrations. Special theory of relativity.
Prerequisites: Physics 3220 and 3810 (or AM/PM 3202) and AM/PM
3260.
Lectures: Three hours per week.
3300. Introduction to Physical Oceanography (F). The course deals with the physics of processes in the ocean, but provides an integrated view of the whole field of oceanography. The importance of physical processes to other aspects of oceanography is treated.
Prerequisites: Physics 2053 and Mathematics 2000.
Lectures: Three hours per week.
3400. Thermodynamics (F). The first and second laws of thermodynamics. Entropy. Thermodynamics of real substances. Kinetic theory of matter. Introduction to statistical mechanics.
Prerequisites: Mathematics 2000, Physics 2053 and Physics 2056.
Lectures: Three hours per week.
3410. Statistical Mechanics (W). Ensembles. Classical and quantum statistical mechanics. Statistical mechanics of phase transitions. Advanced topics in statistical mechanics.
Prerequisites: Physics 3400 and 3750.
Lectures: Three hours per week.
3500. Electromagnetic Fields I (W). Electrostatic Field: field, potential, Poisson's equation, Laplace's equation, capacitance, dielectrics, polarization, electric displacement, boundary conditions. Magnetic Field: electric current and magnetic field, vector potential, Lorentz force and relativity, changing magnetic field, inductance, magnetic materials, magnetization. Maxwell's equations.
Prerequisites: Physics 2055 and 3810 (or AM/PM 3202).
Lectures: Three hours per week.
3550. Electric Circuits (F). Circuit elements. Simple resistive circuits. Techniques of circuit analysis. Topology in circuit analysis. Operational amplifiers. Reactive circuit elements. Natural response and step response of RL, RC and RLC circuits. Circuits driven by sinusoidal sources. Mutual inductance. Series and parallel resonance. Laplace transforms in the analysis of frequency response.
Prerequisites: Physics 2055, Mathematics 2050 and AM/PM 3260
which may be taken concurrently.
Lectures and Laboratory: Not more than six hours per week.
3551. Analogue Electronics (W). Review of network analysis. Feedback. Electron tubes. Semiconductor diodes. Introduction to transistors. Introduction to amplifiers. Small signal models. Small signal analysis of amplifiers. Operational amplifiers. Selected topics in circuit design such as biasing, voltage regulators and power circuits, noise.
Prerequisites: Physics 2055, 2056, 3550 and AM/PM 3260.
Lectures and Laboratory: Not more than six hours per week.
This course is recommended for students with an interest in
experimental Physics.
3600. Optics (F). Geometrical Optics: thin lenses, thick lenses, mirrors, matrix methods in the treatment of optical systems. Two-beam and multiple-beam interference phenomena. Fraunhofer and Fresnel Diffraction. Introduction to Maxwell's Theory: reflection, transmission, and polarization.
Prerequisites: Mathematics 2000 and Physics 2055.
Lectures: Three hours per week.
3750. Quantum Physics I (W). Wave-particle duality of nature. Introduction to Quantum Mechanics. Schrödinger equation. One electron atoms. Quantum statistics.
Prerequisites: Physics 2053, 2055, 2056, 3220, 3810 (or AM/PM
3202) and AM/PM 3260.
Lectures: Three hours per week.
3751. Quantum Physics II (W). Multielectron atoms. Molecules. Solids - conductors and semiconductors. Superconductors. Magnetic properties. Nuclear models. Nuclear decay and nuclear reactions. Properties and interactions of elementary particles.
Prerequisite: Physics 3750.
Lectures: Three hours per week.
3810. Mathematical Analysis (F). Differential calculus of multivariable functions, gradient vector and its applications. Lagrange multipliers, calculus of variations and its applications to mechanics, differentials. Multiple integration, change of variables, applications. Vector analysis, line and surface integrals; Green's theorem, Stokes' and divergence theorems, applications.
Prerequisites: Mathematics 2000 and two of Physics 2053, 2054,
2055 or 2056.
Lectures: Three hours per week.
3820. Mathematical Physics II (F). Functions of a complex variable; residue calculus. Introduction to Cartesian tensor analysis. Matrix eigenvalues and eigenvectors. Diagonalization of tensors. Matrix formulation of quantum mechanics. Quantum mechanical spin. Vector differential operators in curvilinear coordinate systems. Partial differential equations of Mathematical Physics and boundary value problems; derivation of the classical equations, separation of variables; Helmholtz equation in spherical polar coordinates.
Prerequisites: Mathematics 2001, AM/PM 3260, and Physics 3810
(or AM/PM 3202). At least six credit hours in other Physics courses
numbered 3000 or higher.
Lectures: Three hours per week.
3821. Mathematical Physics III (W). Further topics on partial differential equations of Mathematical Physics and boundary value problems; Sturm-Liouville theory, Fourier series, generalized Fourier series, introduction to the theory of distributions, Dirac delta function, Green's functions, Bessel functions, Gamma functions, Legendre functions, spherical harmonics.
Prerequisite: Physics 3820.
Lectures: Three hours per week.
3900. Physics Laboratory I (W). A selection of experiments based primarily on material covered in the third year courses.
Prerequisites: At least three of Physics 3400, 3500, 3550, 3600 and
3750, which may be taken concurrently. Physics 3550 is recommended.
Laboratory: Six hours per week.
3920. Physics Laboratory II (F). A selection of experiments based primarily on Modern Physics at the intermediate level.
Prerequisite: Physics 3900.
Laboratory: Six hours per week.
4000. Solid State Physics. Crystal structure and binding, phonons and lattice vibrations, thermal properties of solids. Electrons in solids, energy bands, semi-conductors, superconductivity, dielectric properties. Magnetic properties of solids.
Prerequisites: Physics 3410 and 3751.
Lectures: Three hours per week.
4200. Classical Mechanics III. Review of Lagrange's equations. Hamilton's canonical equations. Variational principles. Nöther's theorem for particles. Special relativity of particles and the electromagnetic field. Special topics at an advanced level.
Prerequisites: Physics 3230 and 3821.
Lectures: Three hours per week.
4205. Introduction to Fluid Dynamics. (Same as Applied Mathematics 4180). Basic observations, mass conservation, vorticity, stress, hydrostatics, rate of strain, momentum conservation (Navier-Stokes equation), simple viscous and inviscid flows, Reynolds number, boundary layers, Bernoulli's and Kelvin's theorems, potential flows, water waves, thermodynamics.
Prerequisites: Physics 3230 and either AM 4160 or Physics 3821.
Lectures: Three hours per week.
4210. Continuum Mechanics. Kinematics of deformation and flow, dynamics of deformable matter, energetics of deformation. Constitutive relations for ideal materials. Linear theory of elasticity. Dynamics of a viscous fluid. Viscoelasticity. Emphasis is on applications to physical phenomena.
Prerequisites: Physics 3230 and 3821.
Lectures: Three hours per week.
4500. Electromagnetic Fields II (F). Multipole expansions, electrostatic fields as boundary value problems, polarizability of molecules in dielectric media, Clausius-Mossotti relation, gauges. Electromagnetic Waves: Poynting's theorem, reflection and transmission of electromagnetic waves, cavity resonators, wave guides. Electromagnetic Radiation: dipoles, antennas, quantum mechanics and electro-magnetic interactions. Selected topics in electrodynamics and applied electromagnetism.
Prerequisites: Physics 3500, 3821.
Lectures: Three hours per week.
4600. Optics and Spectroscopy. Review of basic topics in physical optics; interference and diffraction with quasi-monochromatic and polychromatic light, spatial resolution, polarization and crystal media, dispersion. Selected topics in intermediate and advanced optics. Spectroscopic instruments.
Prerequisites: Physics 3500, 3600 and 3821.
Lectures: Three hours per week.
4700. Atomic and Molecular Physics. Advanced topics in atomic and molecular physics.
Prerequisites: Physics 3500, 3751 and 3821.
Lectures: Three hours per week.
4710. Nuclear Physics. Properties of stable nuclei and nuclear forces. Nuclear models. Detection of nuclear radiation: interaction of nuclear radiation with matter, nuclear detectors, statistics of nuclear counting alpha, beta, and gamma decay. Nuclear reactions. Deuteron and nuclear forces.
Prerequisites: Physics 3500, 3751 and 3821.
Lectures: Three hours per week.
4820. Mathematical Physics IV. Integral transforms. Linear integral equations. Advanced topics selected from: calculus of variations, Green's functions, theory of groups.
Prerequisite: Physics 3821.
Lectures: Three hours per week.
4850. Quantum Mechanics (F). Postulates of quantum mechanics. Operators and operator algebra. Matrix representations. Spin and magnetic fields. Approximation methods: WKB method, time independent perturbation theory, time dependent perturbation theory, variational methods. Elementary scattering theory.
Prerequisites: Physics 3230, 3750, 3821.
Lectures: Three hours per week.
4851. Advanced Quantum Mechanics (W). General formulation of quantum mechanics, measurement theory and operators. Hilbert spaces. Advanced topics selected from: electron in a strong magnetic field and the Aharonov-Bohm effect; advanced scattering theory; systems of identical particles; Feynman path integral formulation of quantum mechanics; relativistic quantum mechanics; second quantization; symmetry and group theory; density matrix and mixtures.
Prerequisite: Physics 4850.
Lectures: Three hours per week.
4900. Senior Laboratory. Selected experiments supplementing the work of the senior Physics courses.
Laboratory: A minimum of six hours per week.
490A/B. Honours Physics Thesis.
PROGRAMMES IN PSYCHOLOGY
The following undergraduate programmes are available in the Department:
- Major or Honours in Psychology
- Joint Honours in Psychology and Biology
- Major or Honours in Behavioural Neuroscience (B.Sc.
only)
- Diploma in Behaviour Modification with Problem Children
- Minor in Psychology
Details of joint programmes are given after the Honours B.Sc. Regulations.
ADMISSION TO MAJOR AND MINOR PROGRAMMES
Admission to the Major and Minor programmes in the Department of Psychology is competitive and selective. Students who wish to enter these programmes must submit a "Declaration/Change of Academic Programme" form to the Psychology Department by June 1 for Fall semester registration and by October 1 for Winter semester. To be eligible for admission, students must have completed 24 credit hours as listed below with an average of at least 65% in Psychology 1000/1001 and an overall average of at least 60% in Psychology, English, and Mathematics:
a) Psychology 1000, 1001
b) English 1080 and one of 1101, 1102, 1103, or 1110, or
equivalents
c) Mathematics 1000 or two of 1080, 1081, 1050, 1051
d) Six credit hours in elective courses (nine if Mathematics
1000 is completed).
Students who fulfil the eligibility requirements compete for a limited number of available spaces. Selection is based on academic performance as determined by the average of grades in the Psychology, English, and Mathematics courses specified above. Applicants will be informed in writing whether or not they have been accepted within two weeks after the final date for filing applications.
ADMISSION TO HONOURS PROGRAMMES
The Honours programmes in the Department of Psychology are designed for students who would like to concentrate their studies or pursue graduate work. Students who wish to be admitted to these programmes must submit an "Application for Admission to Honours Programme Faculties of Arts or Science" to the Psychology Department by June 1 for Fall semester registration and by October 1 for Winter semester. To be eligible for admission, students must have completed at least eighteen credit hours in courses beyond the 1000 level from the list of courses required for a Major and obtained in these courses a grade of "B" or better, or an average of 75% or higher. Students who fulfill the eligibility requirements compete for a limited number of available spaces. Selection is based on academic performance as determined by the average of grades in the courses identified above; the recommendation of a potential thesis supervisor may also be considered. Applicants will be informed in writing whether or not they have been accepted within two weeks after the final date for submitting applications.
NOTE: Students are advised to consult the general regulations for Honours in the Faculty of Arts or the Faculty of Science, as appropriate.
REQUIREMENTS FOR A MAJOR IN PSYCHOLOGY
1) Students may Major in Psychology as part of either a B.A. or a B.Sc. programme. All Majors are required to complete a minimum of forty-two credit hours of Psychology as listed below:
a) Psychology 1000, 1001, 2900, 2901, 4910
b) Eighteen credit hours of laboratory courses chosen from
six different areas from the following:
Development: 3050 or 3051
Social: 2160 or 3100
Learning: 2250
Perception: 2360
Cognition: 2450 or 3450
Personality & Abnormal: 2620 or 3650
Physiological: 2850 or 3800
Animal Behaviour: 3750 or 4701
c) Three credit hours of selected topics or 4000-level courses
chosen from the following: 4050, 4051, 4150, 4151, 4152,
4250, 4251, 4350, 4351, 4400, 4401,4610, 4620, 4650, 4651,
4750, 4751, 4810, 4850, 4851, 4900, 4901
d) Six other credit hours of Psychology courses at the 3000
or 4000 level.
2) Psychology Majors following the B.Sc. programme are also required to complete the following:
a) Mathematics 1000, or 1080 and 1081
b) Biology 1001 and 1002
c) Either Chemistry 1000 and 1001 or equivalents; OR
Physics 1020 (or 1050) and 1021 (or 1054).
d) Three credit hours of Computer Science, and
e) Six credit hours of laboratory courses at the 2000 level or
above in one of Biology, Chemistry, or Physics.
NOTE: Biology/Psychology 3750 and Biology/Psychology 4701 cannot be used to satisfy the requirement of six laboratory credit hours at the 2000 level or above in either Biology, Chemistry, or Physics.
3) Psychology Majors following the B.A. programme are also required to complete Mathematics 1000 or two of 1080, 1081, 1050, 1051, and are encouraged to complete at least six credit hours in Biology and three credit hours in Computer Science.
REQUIREMENTS FOR HONOURS IN PSYCHOLOGY
1) Honours students in Psychology are required to complete the sixty credit hours of Psychology as listed below:
a) Psychology 1000, 1001, 2900, 2901, 3900, 4910, 499A/B
b) Twenty-four credit hours of laboratory courses chosen from
eight different areas from those listed in Clause 1(b) of the
requirements for a Major in Psychology
c) Nine credit hours of selected topics or 4000-level courses
chosen from those listed in Clause 1(c) of the requirements
for a Major in Psychology
d) Three other credit hours of Psychology courses at the
3000 or 4000 level.
2) Honours students must also complete the requirements listed in either Clause 2 or Clause 3, as applicable, of the requirements for a Major in Psychology.
3) Honours students will be required to submit in their graduating year, an undergraduate thesis (Psychology 499A/B) which demonstrates their competence in Experimental Psychology.
4) The attention of prospective Honours students is directed to the Joint Honours programme in Biology and Psychology, which may yield better preparation for graduate work in some areas than the Honours programme in Psychology alone.
NOTE: Students for the degree of Bachelor of Arts (Honours) may apply through the Head of the Department of Psychology for a waiver of clause 3 (c) of the Regulations for the Honours Degree of Bachelor of Arts.
REQUIREMENTS FOR A MAJOR IN BEHAVIOURAL NEUROSCIENCE (B.Sc. ONLY)
A programme is offered in the Psychology Department to provide an education in Behavioural Neuroscience. Students wishing to enroll in the programme are advised to consult with the Head of the Department at the earliest opportunity. Students who intend to pursue graduate studies should take courses leading to the Honours degree.
The programme for a Major in Behavioural Neuroscience shall include:
1)a) Psychology 1000, 1001, 2900, 2901, 2850, 3800, 4910
b) One of either Psychology 4850 or 4851
c) Three further credit hours of Psychology from the
Selected Topics
d) Six credit hours of laboratory courses chosen from two
different areas from the following:
- Development: 3050 or 3051
- Social: 2160 or 3100
- Learning: 2250
- Perception: 2360
- Cognition: 2450 or 3450
- Personality & Abnormal: 2620 or 3650
- Animal Behaviour: 3750 or 4701
2)a) Mathematics 1081 or 1000, and 1001
b) Chemistry 1000, 1001, and 2440 or 2400/ 2401
c) Physics 1020 (or 1050) and 1021 (or 1054).
d) Biology 1001, 1002
e) English 1080 and one of 1101, 1102, 1103, or 1110, or
equivalents
f) Computer Science 2602 or 1700
3) Eighteen credit hours from the following courses chosen from at least three different sciences:
- Biochemistry: 3200, 3201 or any 2000, 3000, or 4000
level course that is not in the Food and Nutrition programme
- Biology: 2210, 3050, 3060, 3160, 3202, 3250, 3401,
3500, 3530, 3540, 3900, 4200, 4241, 4245, 4402
- Chemistry: 2210, 2300 or any 3000 or 4000 level
course
- Computer Science: Any 2000, 3000, or 4000 level
course except service courses
- Mathematics: 2000, 2001, 2050, 2051 or any 3000 or
4000 level pure or applied mathematics course
- Physics: Any 2000, 3000, or 4000 level course except
2000, 2050, 2151, 3150, 3151
NOTE: The courses listed under Clause 3 may have prerequisites. It is the student's responsibility to ensure that all prerequisites have been met, or that waivers have been obtained, before registering for these courses.
REQUIREMENTS FOR HONOURS IN BEHAVIOURAL NEUROSCIENCE (B.Sc. ONLY)
1) Honours students shall complete the courses required for a Major in Behavioural Neuroscience and the following: Psychology 3900, 499A, and 499B.
2) In accordance with Clause 6.i. of the Regulations for the Honours Degree of Bachelor of Science, Honours candidates must obtain a grade of "B" or better, OR an average of 75% or higher in all the required courses listed in Clauses 1 and 3 of the requirements for a major in Behavioural Neuroscience and Clause 1 of the requirements for honours in Behavioural Neuroscience, except those at the 1000 level.
REGULATIONS FOR THE DIPLOMA IN BEHAVIOUR MODIFICATION WITH PROBLEM CHILDREN
1) A programme leading to the Diploma in Behaviour Modification with Problem Children is offered by the Department of Psychology. The intention of this programme is to prepare students for jobs in applied child psychology. Students wishing to complete this programme should consult the Head, Department of Psychology, not later than the beginning of the student's final year prior to graduation. Enrolment in the programme is limited.
2) To be eligible for admission to this programme a student must have graduated with a Major in Psychology, either Bachelor of Arts or Bachelor of Science (or its equivalent), which must include the following courses in psychology:
a) 1000, 1001, 2900, 2901, 4910, 2250, 2620, 3050, 3650,
4650
3.) From students qualified for admission, selection will be
based on:
a) academic performance,
4) Students accepted into the programme will enroll in
Psychology 4640.
5) Students accepted into the programme will enroll in
Psychology 460X: Internship in Child Behaviour Modification.
The student is assigned to full-time work with an approved
agency, such as the Community Direct Home Services Programme. The work consists of applying behaviour modification techniques to solve child behaviour problems and in
teaching these techniques to parents. Supervision of the
student's work is conducted by qualified professionals of the
agency and by a member of the University Department of
Psychology who will meet with the intern weekly. Evaluation
of the intern is based on:
a) proficiency in application of behaviour modification
procedures as rated by supervisors,
Upon successful completion of Psychology 460X a student
will be eligible for the award of the Diploma.
REQUIREMENTS FOR A MINOR IN PSYCHOLOGY
Students who Minor in Psychology are required to complete
a minimum of twenty-four credit hours of Psychology as
follows:
a) Psychology 1000, 1001, 2900
COURSE DESCRIPTIONS
Non-restricted courses
NOTE: These courses are open to all students who have the
appropriate prerequisites. Psychology 1000 and 1001 are
prerequisites for all Psychology courses. Students who
intend to major in Psychology should note that each course
marked with an asterisk is credit-restricted with a Majors
laboratory course; consequently, taking these courses will
reduce your options in the Majors programme.
1000 and 1001. Introduction to Psychology. An introduction to
Psychology as a biological and social science. Topics shall include
research methodology, physiological processes, perception,
learning, memory and cognition, human development, animal
behaviour, emotion, motivation, consciousness, personality and
individuality, psychological disorders and treatment, and social
psychology.
Psychology 1000 is a prerequisite for Psychology 1001.
*2010. The Psychology of Human Development I. A survey of
principles underlying human development from the prenatal stage to
adolescence. Topics covered will include sensorimotor, linguistic,
perceptual, cognitive and motivational changes.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2010 and
either of the following: Psychology 3050, Psychology 2025.
2011. The Psychology of Human Development II. An examination
of relevant research on socialization and personality development
with special emphasis on attachment, imitation, sex role and moral
development in childhood and adolescence.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2011 and
Psychology 2025.
2012. The Psychology of Human Development III. This course is
concerned with the major physical, intellectual and interpersonal
changes associated with maturity and aging. It completes the study
of the life-span development of the human organism initiated in
Psychology 2010 and 2011.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2012 and
Psychology 3052.
*2100. Attitudes and Social Cognition. An examination of the
concepts and principles involved in the interaction between the
individual and others. Emphasis will be on the theoretical and
empirical concerns of attitude formation and change, social perception, and social cognition.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2100 and
either of the following: Psychology 3100, Psychology 2125.
*2120. Interpersonal and Group Processes. (Formerly 2101). An
examination of the concepts and principles involved in the interaction
between the individual and others. Emphasis will be on the theoretical and empirical concerns of interpersonal relations and group processes.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2120 and
any of the following: Psychology 2160, Psychology 2125, the former
Psychology 2101.
*2240. Survey of Learning. A survey of learning phenomena and
learning theories. Topics to be studied will include a selection of the
following: the evolutionary context of learning, habituation and
sensitization, Pavlovian conditioning, instrumental learning,
generalization and discrimination in learning, and neural mechanisms of learning.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2240 and
any of the following: Psychology 2250, Psychology 2225, the former
Psychology 2400, the former Psychology 3150.
*2440. Human Memory and Cognition. An introduction to the basic
principles of human memory and information processing. Topics
covered will include the organization, representation and retrieval of
information in memory, attention, pattern recognition, language
processing, mental imagery, reasoning, problem solving, and
decision making. There will be an emphasis on the application of
basic principles to real life situations.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2440 and
either of the following: Psychology 3450, Psychology 2425.
2530. Mathematical Psychology. (Formerly 2300). Introduction to
measurements and scaling, decision theories (theory of signal
detectability, game theory, and individual choice theory). Application
of systems theory, information theory, and mathematical learning
theory.
Prerequisites: Psychology 1000 and 1001; Mathematics 1000 (or
1080 and 1081), or Mathematics 1050 and 1051, or Mathematics
1080 and 1050.
NOTE: Credit may not be obtained for Psychology 2530 and the
former Psychology 2300.
2540. Psychology of Gender and Sex Roles. An examination of
the influence of gender and sex roles on development and socialization, attitude formation, cognition, personality and mental health.
2560. Intelligence. (Formerly 2650). Consideration will be given to
speculations concerning the evolution of intelligence, comparative
studies across species, the inheritance of intelligence, and familial,
social and cultural factors in the development of intelligence.
Theories of intellectual development will also be examined.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for Psychology 2560 and the
former Psychology 2650.
*2610. Personality. (Formerly 2200). A review of the research and
theory pertaining to a psychological understanding of human
personality.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2610 and
any of the following: Psychology 2620, Psychology 2625, the former
Psychology 2200.
2800. Drugs and Behaviour. An examination of the neurophysiology of drug action, the measurable effect of drugs on experimentally
controlled behaviour, and a survey of information available on
common self-administered drugs and their immediate and long-term
effects.
Prerequisites: Psychology 1000 and 1001.
*2810. Brain and Behaviour. (Formerly 2500). A broad survey of
physiological psychology at an elementary level. Topics will include
the following: structure of the nervous system, nerve conduction,
sensory and motor systems, behavioural biology of reproduction,
aggression, feeding and drinking, sleep and arousal, pleasure and
pain, learning and memory.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for both Psychology 2810 and
any of the following: Psychology 2850, Psychology 2825, the former
Psychology 2500.
3350. Psychology of Sound. Physical basis of hearing, structure,
and function of the ear, perception of spatial location, hearing
deficits, signal detection, and speech perception, analysis and
production of complex sounds (harmony, timbre, music perception,
properties of musical instruments, applications to modern music).
Prerequisites: Psychology 1000 and 1001; Mathematics 1000 (or
1081), or Mathematics 1051, or Mathematics 1080 and 1050.
NOTE: Credit may not be obtained for both Psychology 3350 and the
former Psychology 2350. Psychology majors should note that this
course does not meet the majors requirement for a laboratory
course.
3400. Psycholinguistics. The psychological approach to the study
of language concentrating particularly on the areas of speech,
meaning, grammar and communication. The research topics to be
discussed will include the child's acquisition of language, bilingualism, teaching language to animals, language pathologies, social
factors in language use, discourse rules and relationships among
brain structure, language and cognition.
Prerequisites: Psychology 1000 and 1001; a course in either
Psychology, Linguistics or Anthropology at the 2000-level.
3430. The Psychology of Thinking. (Formerly 2430). This course
will present theories and experimental studies of problem solving,
creativity and decision making. Topics covered will include the
difficulties encountered in problem solving and solutions such as
strategies for organizing and representing information, the production of ideas, transfer and discovery learning.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for Psychology 3430 and the
former Psychology 2430.
3501. Industrial Psychology. An examination of the theories and
concepts of industrial psychology. Topics covered will include
research and testing methods, measuring job and performance
appraisal systems, personnel selection methods, personnel training
and development, work motivation, work stress, designing work for
people, and human engineering.
Prerequisite: Any 2000-level course in Psychology.
NOTE: Credit may be obtained for only one of Psychology 3501 and
Business 4320.
3533. Sexual Behaviour. (Formerly 3300). A psychological analysis
of sexual behaviour. The course will examine the physiological,
behavioural, social and personality bases of the male and female
sexual response, heterosexuality and homosexuality and other
sexual behaviour. Other topics may include the social precursors of
human sexual behaviour, sex therapy, pregnancy and childbirth, and
nonhuman sexual behaviour.
Prerequisites: Psychology 1000 and 1001.
NOTE: Credit may not be obtained for Psychology 3533 and the
former Psychology 3300.
3610. Altered States of Consciousness. (Formerly 3700). The
concept of consciousness and the psychophysiology of altered
states. Studies of hypnagogic sleep and dream states, biofeedback,
and states related to drugs, hypnosis, meditation and mystical
experience.
Prerequisites: A minimum of twelve credit hours in Psychology
beyond the introductory level.
NOTE: Credit may not be obtained for Psychology 3610 and the
former Psychology 3700. Psychology majors should note that this
course does not meet the majors requirement for a laboratory
course.
*3640. The Psychology of Abnormal Behaviour. (Formerly 3600).
Problems of definition, the history of beliefs about abnormal
behaviour and the implication of a behavioural model for the
understanding and control of behaviour problems will be discussed.
Prerequisite: Any 2000-level course in Psychology.
NOTE: Credit may not be obtained for both Psychology 3640 and
any of the following: Psychology 3650, Psychology 2625, the former
Psychology 3600.
4810. Human Neuropsychology. Clinical disorders of sensation,
perception, movement, memory, language and emotion that have
resulted from brain damage or disease will be explained on the basis
of current knowledge of brain structure and function. Lateralization
of function, disconnection syndromes, and mechanisms of recovery
of function following brain damage will also be covered. Related
experimental studies of brain structure and function in non-humans
will be discussed.
Prerequisite: One of Psychology 2810, 2850 or 3800.
Majors Courses
NOTE: These courses are restricted to Majors and Minors in
Psychology and Behavioural Neuroscience.
2160. Social Psychology: Group Processes. An examination of
the concepts and principles involved in the understanding of the
social behaviour of the individual. Emphasis will be on the theoretical, empirical and methodological concerns of interpersonal relations
and group processes.
Prerequisite: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 2160 and
either of the following: Psychology 2120, the former Psychology
2101.
2250. Learning. (Formerly 3150). How organisms adjust their
behaviour to regularities in the environment as a result of experience.
Prerequisite: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 2250 and
any of the following: Psychology 2240, Psychology 2225, the former
Psychology 2400, the former Psychology 3150.
2360. Perception I. (Formerly 3261). A broad survey of theory and
research in sensation and perception.
Prerequisite: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 2360 and the
former Psychology 3261.
2450. Human Memory. (Formerly 3500). An introduction to current
human memory research and theory. Structures and processes
involved in the encoding, storage, and retrieval of verbal and non-verbal information will be covered with an emphasis on experimental
analysis and techniques.
Prerequisite: Psychology 1000, 1001 and 2900.
NOTE: Credit may be obtained for only one of Psychology 2440,
Psychology 2450, and the former Psychology 3500.
2620. The Experimental Study of Personality. The exploration of
human personality with a focus on experimental research.
Laboratory period weekly.
NOTE: Credit may be obtained for only one of Psychology 2620,
Psychology 2610, and the former Psychology 2200.
2850. Behavioural Neuroscience. A survey of knowledge about
brain mechanisms of behaviour and the methods used to generate
this knowledge. Topics will include the following: basic neuroanatomy and neurophysiology, somatosensory systems and pain, reward,
mental illness, sleep and arousal, developmental neurobiology,
sexual development and behaviour, regulation of eating and body
weight, learning and memory, and cortical function, including cortical
mediation of language.
Prerequisite: Psychology 2900
NOTE: Credit may not be obtained for both Psychology 2850 and
any of the following: Psychology 2810, Psychology 2825, the former
Psychology 2500.
2900. Design and Analysis I. (Formerly 2510). An introduction to
the design of psychological research. Topics to be studied include
advantages and disadvantages of the experimental method, the
logic, nature, and problem of control, basics of measurement and
types of research designs. In addition, applications of such statistical
techniques as the t-test, correlation, simple linear regression, chi
square, and selected nonparametrics to the analysis of data
obtained with elementary research designs, will be considered with
special attention to problems inherent in psychological research.
Prerequisites: Psychology 1000 and 1001; Mathematics 1000 or two
of 1080, 1081, 1050, 1051.
NOTE: Credit may not be obtained for both Psychology 2900 and
any of the following: Psychology 2925, Statistics 2500, Statistics
2510, Statistics 2550.
2901. Design and Analysis II. (Formerly 2511). Standard research
designs in psychology, between-subject designs with one, two, and
three independent variables. The concept of interaction, and its
implication for psychological theory, in designs with two and three
independent variables. Problems created by unequal numbers of
subjects in the various treatment conditions and within-subject
designs with one independent variable. An introduction to specific
comparisons, applications of the analysis of variance to data
obtained with these standard research designs, with special attention
to problems inherent in psychological research.
Prerequisites: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 2901 and
any of the following: Psychology 2950, Statistics 2501, Statistics
2560.
3050. Developmental Psychology I. An examination of the methods
of study and an evaluation of current findings and theoretical issues
of importance to an understanding of development. Topics will be
drawn from perception, learning, cognition, social learning, memory
and language development.
Prerequisite: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 3050 and
Psychology 2010.
3051. Developmental Psychology II. An examination of the
methods of study and an evaluation of current findings and theoretical issues of importance to an understanding of development. The
central focus is the nature/nurture issue. Course material will be
drawn from such topics as intelligence and intelligence testing,
behaviour genetics, maturation/learning, prenatal development,
attachment processes, sensitive periods, nutrition, and intervention
research.
Prerequisite: Psychology 2900.
3052. The Psychology of Aging. This course will evaluate current
research in the psychology of aging. The behavioural processes to
be examined will include changes in perception, memory, problem
solving and adjustment. Assessment and intervention strategies will
also be discussed.
Prerequisites: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 3052 and
Psychology 2012.
3100. Social Psychology: Social Cognition. An examination of the
concepts and principles involved in the understanding of the social
behaviour of the individual. Emphasis will be on the theoretical,
empirical, and methodological concerns of social cognition, attitude
formation and change, and interpersonal perception.
Prerequisite: Psychology 2901.
NOTE: Credit may not be obtained for both Psychology 3100 and
Psychology 2100.
3251. Advanced Learning. (Formerly 3151). How human and animal behaviour is affected by reinforcement and expectation. Topics
covered will include theories of reinforcement for both operant and
Pavlovian conditioning and operant-Pavlovian interactions.
Prerequisites: Psychology 2250 and Psychology 2900.
NOTE: Credit may not be obtained for Psychology 3251 and the
former Psychology 3151.
3252. Learning Processes and Drug Effects. Explanations of
many of the behavioural effects of drugs can be found in learning
and conditioning theory. This course will provide a careful examination of such processes as drug state conditioning and discrimination,
drug effects on operant behaviour, drug self-administration and
tolerance.
Prerequisites: Psychology 2250 and Psychology 2900.
3360. Perception II. A major area of current interest in perception
research will be examined in depth.
Prerequisites: Psychology 2360 and 2900.
3450. Human Cognition. An introduction to the experimental study
of the mental representations and processes involved in human
cognition. Topics such as attention, perception and pattern recognition, concepts and the organization of knowledge, language
processes, mental imagery, reasoning, problem solving, decision
making and skilled performance will be covered with an emphasis on
experimental analysis and techniques.
Prerequisite: Psychology 2900.
NOTE: Credit may not be obtained for both Psychology 3450 and
either of the following: Psychology 2440, Psychology 2425.
3650. The Experimental Study of Abnormal Behaviour. A
literature review of research on major behavior problems.
Prerequisites: Psychology 2901 and one laboratory course from
Clause 1(b) of the requirements for a Major in Psychology.
NOTE: Credit may be obtained for only one of Psychology 3640,
Psychology 3650, and the former Psychology 3600.
3750. Animal Behaviour I. (Same as Biology 3750). An introduction
to the mechanisms and development of the behaviour of animals.
Topics include the history of ethology and comparative psychology,
methods of animal behaviour study, behaviour of animals in relation
to physiology, sensory function, learning, communication, orientation,
and other areas in Biology and Psychology.
Prerequisites: Biology 1001, 1002 and Psychology 2900.
NOTE: Credit may be obtained for only one of Psychology 3750,
Biology 3750, the former Psychology 4700 or the former Biology
4700.
3800. Physiological Psychology. An introduction to the structure
and function of the vertebrate nervous system as it relates to
behaviour. Topics covered will include neuroanatomy, neurophysiology, sensory systems, motor systems, and development and
plasticity of the nervous system.
Prerequisite: Psychology 2900.
3900. Design and Analysis III. (Formerly 3520). Complex and
specialized research design in Psychology. Multifactor research
designs that employ both between- and within-subjects independent
variables. Advantages and disadvantages of using multifactor
research designs to test psychological hypotheses. Hierarchical
designs and incomplete factorials. The use of covariates and
blocking to increase experimental precision. Problems created by
missing data. Single subject designs. How to answer specific
psychological questions in the context of complex designs. The
design and analysis of non-experimental psychological research.
Applications of such techniques as the analysis of variance and
multiple linear regression to the data obtained with these research
designs, with special attention to problems inherent in psychological
research.
Prerequisite: Psychology 2901.
NOTE: Credit may not be obtained for both Psychology 3900 and
any of the following: Psychology 3950, Statistics 3520, the former
Psychology 3520.
4050. Selected Topics in Developmental Psychology I.
Prerequisite: Psychology 3050 or 3051.
4051. Selected Topics in Developmental Psychology II.
Prerequisite: Psychology 3050 or 3051.
4150. Selected Topics in Social Psychology I. (Formerly 4200).
Prerequisite: Psychology 2160 or 3100.
4151. Selected Topics in Social Psychology II. (Formerly 4201).
Prerequisite: Psychology 2160 or 3100.
4152. Selected Topics in Applied Social Psychology. (Formerly
4203).
Prerequisite: Psychology 3100.
4250. Selected Topics in Learning and Motivation I. (Formerly
4300).
Prerequisite: Psychology 2250.
4251. Selected Topics in Learning and Motivation II. (Formerly
4301).
Prerequisite: Psychology 2250.
4350. Selected Topics in Perception I. A specific topic of current
interest in perception will be intensively examined.
Prerequisites: Psychology 2360 and 2901.
4351. Selected Topics in Perception II. A specific topic of current
interest in perception will be intensively examined.
Prerequisites: Psychology 2360 and 2901.
4400. Selected Topics in Cognition I.
Prerequisite: Psychology 2450 or 3450.
4401. Selected Topics in Cognition II.
Prerequisite: Psychology 2450 or 3450.
460X. Internship in Child Behaviour Modification.
NOTE: Credit for this course may not be applied toward a B.A. or
B.Sc.
4610. Selected Topics in Personality I. (Formerly 4100).
Prerequisite: Psychology 2620.
4620. Selected Topics in Personality II. (Formerly 4101).
Prerequisite: Psychology 2620.
4640. Selected Topics in Applied Behavioural Analysis Procedures with Children. The application of the principles of learning
and practice in the assessment and treatment of behaviour problems
in children. Treatment is based primarily on contingency management techniques. A practicum in an applied setting is an integral part
of the course.
Prerequisites: Psychology 2250, 2620, 3050 and 3650, or permission
of the Head of the Department.
NOTE: Psychology 4640 is open only to students enrolled in the
programme leading to the Diploma in Behaviour Modification with
Problem Children.
4650. Selected Topics in Abnormal Behaviour I.
Prerequisite: Psychology 3640 or 3650.
4651. Selected Topics in Abnormal Behaviour II.
Prerequisite: Psychology 3640 or 3650.
4701. Animal Behaviour II. (Same as Biology 4701). An examination of the behaviour of animals with particular emphasis on
evolution and ecology. Topics include behavioural genetics and
evolution, reproductive strategies, social behaviour, habitat selection, territoriality, foraging behaviour, and other topics in Biology and
Psychology.
Prerequisite: Biology/Psychology 3750.
NOTE: Credit may not be obtained for both Biology 4701 and
Psychology 4701.
4750. Selected Topics in Animal Behaviour I.
Prerequisite: Psychology 3750; or Biology 3750 (Formerly Biology
4700).
4751. Selected Topics in Animal Behaviour II.
Prerequisite: Psychology 3750; or Biology 3750 (Formerly Biology
4700).
4850. Selected Topics in Physiological Psychology I.
Prerequisite: Psychology 2810, 2850 or 3800.
4851. Selected Topics in Physiological Psychology II.
Prerequisite: Psychology 2810, 2850 or 3800.
4900. Selected Topics in Psychometrics and Data Analysis I.
Prerequisite: Psychology 2901.
4901. Selected Topics in Psychometrics and Data Analysis II.
Prerequisite: Psychology 2901.
4910. Systems in Contemporary Psychology. A study of paradigms and explanations in contemporary psychology in the context
of their historical antecedents.
Prerequisites: Seventy-eight credit hours in University courses including (a) six credit hours in Psychology laboratory courses from
Clause 1(b) of the requirements for a Major in Psychology or (b)
Psychology 3425 or (c) Psychology 3950.
NOTE: Credit may not be obtained for Psychology 4910 and the
former Psychology 4000 or 4001.
499A/499B. Honours Dissertation. A six credit hours linked course,
based on independent study of an approved problem in Psychology.
The topic will be chosen in consultation with the Faculty Advisor. The
first semester will normally involve directed reading in this area, and
preparation of a dissertation proposal. The second semester will be
devoted to conducting the study, gathering data, data analysis and
preparation of a formal written report. The dissertation must be
submitted for grading before the end of the tenth week of the
semester in which the student is registered for 499B.
Prerequisite: Admission to the Honours Programme.
1000. A liberal science course for Arts students, which reflects the
way scientists think and work through historical, philosophical and
social considerations of the environment we live in. Typical course
content includes: the concepts of matter, motion and energy; the
chemical basis for life and the interdependence of organisms; and
the abundance and distribution of the Earth's natural resourses.
Three lectures a week.
1001. Continuation of the above.
NOTE: Science 1000 is a prerequisite for Science 1001. Science
1000/1001 must not be taken by a student who intends to major in
Science.
115A/B. An introduction to some concepts of the Physical and
Biological Sciences. These courses are primarily intended for
students proceeding to the degree of Bachelor of Education (Primary
or Elementary).
Laboratory: Three hours per week.
NOTE: These courses are not acceptable as prerequisites to
2000-level courses in Physics, Chemistry, Biology, Geography or
Earth Science.
Perception: 2360, 3360
Cognition: 2450, 3450
Animal Behaviour: 3750, 4710
Physiological: 2850, 3800
b) recommendations from faculty with whom the students
have worked, and
c) an interview to assess the student's personal suitability
conducted by a panel which includes a representative of
the Psychology Department and a representative of child
treatment agencies.
b) a written report of the placement experience presented
at the completion of the internship,
c) a written report of the placement submitted by the
supervisor at the conclusion of the internship, and
d) an oral examination on child behaviour modification
conducted by members of the Psychology Department
and at least one full-time professional who works with
children.
b) Six credit hours of laboratory courses chosen from two
different areas from those listed in Clause 1(b) of the
requirements for a Major in Psychology
c) Nine other credit hours of Psychology, at least three of
which must be from courses at the 4000 level.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Prerequisite: Psychology 2900.
Laboratory period weekly
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Prerequisite or Co-requisite: Psychology 2901.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Laboratory period weekly.
Recommended prerequisite: Psychology 3360.
Recommended prerequisite: Psychology 3360.
Laboratory period weekly.SCIENCE
No laboratory.
A student beyond the first year may register for these courses only
with the permission of the Dean of the Faculty.
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Last modified October 23, 1996