**2004 - 2005 Calendar**

**
Common Core Mathematics
Courses**

**
**

In accordance with Senate's *Policy Regarding Inactive Courses*,
the course descriptions for courses which have not been offered in
the previous three academic years and which are not scheduled to be
offered in the current academic year have been removed from the following
listing. For information about any of these inactive courses, please
contact the Head of the Department.

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 programs 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.

**102F, 103F, and 104F. Mathematics Skills Program.** 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
program 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 COURSE**

**In accordance with Senate's ***Policy
Regarding Inactive Courses*, the course descriptions for courses
which have not been offered in the previous three academic years and
which are not scheduled to be offered in the current academic year have
been removed from the following listing. For information about any of
these inactive courses, please contact the Head of the Department.

**1000. Calculus I (F)(W).** An introduction to differential
Calculus including logarithmic, exponential and trigonometric functions.

Four hours per week.

Prerequisite: Mathematics 1090 or a combination of placement
test and high school Mathematics scores acceptable to the department.
(See regulation 7)

*NOTE: Effective Winter 2000, the credit restriction between
Mathematics 1000 and Mathematics 1080 has been lifted. However, credit
cannot be obtained 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.
*

**1050. Finite Mathematics I (F)(W).** Topics covered include
sets, logic, permutations, combinations and elementary probability.

Four hours per week.

Prerequisite: A combination of placement test and high school
mathematics scores acceptable to the department (See regulation 7), or Mathematics
103F.

*NOTES: 1) With the exception of those already admitted
at the time of registration in this course to a B.Ed. program 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: A combination of placement test and high school
mathematics scores acceptable to the department (See regulation 7), or Mathematics
103F.

*NOTES: 1) With the exception of those already admitted
at the time of registration in this course to a B.Ed. program 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.*

**1090. Algebra and Trigonometry (F)(W).** This course provides
students with the essential prerequisite elements for the study of
an introductory course in calculus. Topics include algebra, functions
and their graphs, exponential and logarithmic functions, trigonometry,
polynomials, and rational functions.

Four hours per week.

Prerequisite: A combination of placement test and high school
Mathematics scores acceptable to the department (See regulation 7) or Mathematics
104F.

*NOTE: Students will not receive credit for Mathematics
1090 if they have previously received credit or are currently registered
for M1000, M1001, M1080, or M1081.*

**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 **R**^{2} and **R**^{3},
complex numbers, linear transformations on **R**^{n},
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.

**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, contingent payments.

Prerequisite: M 1001.

**2091. Introduction to Actuarial Mathematics.** Life tables,
life annuities, life insurance, multi-life theory, stationary population,
interest rates as a random variable.

Prerequisites: M 2090 and one of ST 2500, 2510, 2550.

In accordance with Senate's *Policy Regarding Inactive Courses*,
the course descriptions for courses which have not been offered in
the previous three academic years and which are not scheduled to be
offered in the current academic year have been removed from the following
listing. For information about any of these inactive courses, please
contact the Head of the Department.

**2120. Introduction to Mathematical Programming (F).** This
course serves as an introduction to the use of computers in mathematics.
Algorithm design, structured programming and symbolic computing are
the main subject areas treated. The structured programming, using a high-level
computer language such as C, includes floating point arithmetic, data
types, loops, conditional branching, functions, formatted I/O and modularity.
The programming in a symbolic environment uses a package like Maple or
Mathematica. All programming focuses on problems related to mathematics.

Prerequisite: M1000 or M1081.

*NOTE: First priority for enrolment in this course is
given to students whose majors are in mathematics or statistics. Other
students wishing to register must obtain permission from the head of
department. Students enrolled in any program within the Department
of Mathematics and Statistics who have completed or are currently registered
for AM2130, Computer Science 2710 or Computer Science 2602 cannot receive
credit for AM 2120.*

**2130.** **Technical Writing in Mathematics (W).**
A project oriented course combining mathematical investigation and
technical writing. By using computer programming, graphical and typesetting
tools, students will explore mathematical concepts and will produce
technical reports of professional quality. The latter will combine elements
of writing and graphics to convey technical ideas in a clear and concise
manner.

Prerequisite: M 1001 and (AM 2120 or CS 2710 or CS 2602 or
permission of the Head of Department).

*NOTES: 1) 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.
2) This course qualifies as a Research/Writing course in the
Faculty of Arts.*

**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)(W).** 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 2055, P 2056, P 2820.

*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). **Algorithms
and complexity, definitions and basic properties of graphs, Eulerian
and Hamiltonian chains, shortest path problems, graph coloring, planarity,
trees, network flows, emphasis on applications including scheduling
problems, tournaments, and facilities design.

Prerequisite: PM2320.

*NOTE: Credit cannot be obtained for both AM/PM 3240 and
Computer Science 2741.*

**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.
*

**4131. Numerical Linear Algebra.** - inactive course.

**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.

**4160. Partial Differential Equations I (F).** 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.** - inactive course.

**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
program 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.

**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**

In accordance with Senate's *Policy Regarding Inactive
Courses*, the course descriptions for courses which have not been
offered in the previous three academic years and which are not scheduled
to be offered in the current academic year have been removed from the
following listing. For information about any of these inactive courses,
please contact the Head of the Department.

**2320. Discrete Mathematics (F)(W). **Basic concepts of mathematical
reasoning, sets and set operations, functions, relations including equivalence
relations and partial orders as illustrated through the notions of congruence
and divisibility of integers, mathematical induction, principles of counting,
permutations, combinations and the Binomial Theorem.

Prerequisite: M1001 or M2050.

*Note: Credit cannot be obtained for both PM2320 and Computer
Science 2740.*

**3201. Convergence of Sequences and Series.** See AM 3201.

**3202. Vector Calculus (F)(W).** See AM 3202.

**3210. Introduction to Complex Analysis.** See AM 3210.

**3240. Applied Graph Theory.** See AM 3240.

**3260. Introduction to Ordinary Differential Equations.**
See AM 3260.

**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.

**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.

**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: PM2320.

**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: PM2320.

**3410. Mathematical Statistics I (F).**
Basic probability concepts, combinatorial analysis, conditional probability,
independence, random variable, distribution function, mathematical expectation,
Chebyshev's inequality, distribution of two random variables, binomial
and related distributions, Poisson, gamma, normal, bivariate normal,
t, and F distributions, transformations of variables including the
moment-generating function approach.

One and a half hour tutorial period weekly.

Prerequisite: M2000.

**3411. Mathematical Statistics II (W).**
Sampling distributions. Limiting distributions, central limit theorem,
minimum variance unbiased estimators, confidence intervals, MLE and
its asymptotic properties, exponential family, sufficient statistics,
Rao-Cramér inequality, efficiency, Neyman-Pearson lemma, chi-square
tests, likelihood ratio test.

One and a half hour tutorial period weekly.

Prerequisite: PM/ST3410.

**4230. Differential Geometry.** See AM 4230.

**4240. Differential and Integral Calculus on Manifolds.**
See AM 4240.

**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, sub-spaces and quotient
spaces, connectedness, relation between topologies, base and sub-base,
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.

**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.** - inactive course.

**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.

**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
program 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.** - inactive
course.

**4410. Mathematical Statistics
III.** Multivariate normal distribution theory, applications
to ANOVA and regression, other topics such as sequential tests, distribution
of order statistics, nonparametrics and decision theory.

Prerequisite: M 2051 and PM/ST 3411.

**STATISTICS COURSES**

In accordance with Senate's *Policy Regarding Inactive
Courses*, the course descriptions for courses which have not been
offered in the previous three academic years and which are not scheduled
to be offered in the current academic year have been removed from the
following listing. For information about any of these inactive courses,
please contact the Head of the Department.

*NOTE: All 2000-level statistics courses, ST3410, ST3411, ST4590, and
ST4591 have a laboratory period weekly.*

**2500. Statistics for Business and Arts Students (F)(W).**
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. pro-gramme
or permission of the head of department.

*NOTE: Credit can be obtained for only one of ST2500,
ST2510, ST2550, and Psychology 2900. Statistical computer
package will be use in the laboratory, but no prior computing experience
is assumed.*

**2501. Further Statistics for Business and Arts Students (F).**
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.

*NOTE: Credit can be obtained for only one of ST2501,
ST2560, the former ST2511, and Psychology 2901. Statistical computer
package will be used in the laboratory.
*

**2510. Statistics for Physical Science Students**** (F)(W)****.**
Elements of probability, conditional probability, Bayes’ Theorem, discrete
random variables, cumulative distribution function, introduction to continuous
random variables, mathematical expectation, estimation of mean, proportion
and variance, hypothesis testing for one-sample case.

Prerequisite: M1000 or M1081.

*NOTE: Credit can be obtained for only one of ST2500, ST2510,
ST2550, Psychology 2900, and Engineering 3423. Normally offered
twice a year, including the fall.*

**2550. Statistics for Life Science Students****(F)(W)****(S).**
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, one way analysis
of variance, correlation and simple linear 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. Statistical computer package will be used in the
laboratory, but no prior computing experience is assumed.*

**2560. (former 2511). Further Statistics for Science Students (W).
**Estimation and hypothesis testing in the two-sample and paired
sample cases, one way and two way analysis of variance, simple and
multiple linear regression, chi-square tests, non-parametric tests
including sign test, Wilcoxon signed rank test and Wilcoxon rank test.

Prerequisite: ST2500 (with M1000 or M1081) or ST2510.

*NOTE: Credit can be obtained for only one of ST2501,
ST2560, the former ST2511, and Psychology 2901. Statistical computer
packages will be used in the laboratory, but no prior computing experienced
is assumed.*

**3410. Mathematical Statistics I.** See
PM 3410.

**3411. Mathematical Statistics II.** See
PM 3411.

**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 2560 (former 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.

**4400. Lebesgue Integration.** See PM 4400.

**4401. Probability Theory.** See PM 4401.

**4402. Stochastic Processes.** See PM 4402.

**4410. Mathematical Statistics III.** See
PM 4410.

**4520. Experimental Design II (W).** Selected topics in ANOVA
and ANCOVA including factorial experiments and unbalanced designs.

Prerequisite: ST 3520.

**4530. Survey Sampling II (W).** 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.

**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: one of ST3520 or ST3521, or PM/ST3411.

**4560. Continuous Multivariate Analysis.** The multivariate
normal distribution and its marginal and conditional distributions,
properties of the Wishart distribution, Hotelling's T^{2} statistic,
a selection of techniques chosen from among MANOVA, multivariate regression,
principal components, factor analysis, discrimination and classification,
clustering.

Prerequisite: M2051, PM/ST3410 and one of ST3520, or ST/PM3411,
or ST3521.

**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.

**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.** 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: one of ST3520, or ST3521, or PM/ST3411.

**4599. Honours Comprehensive with Directed Readings.** A
directed reading course with Comprehensive examination for students
in Honours or Joint Honours Degree programs in Statistics ONLY.

Prerequisite: Registration in an Honours or Joint Honours
program in Statistics.

Please direct inquiries to science@mun.ca.

Last modified on April 30, 2004 by R. Bruce

Up to Calendar Table of Contents

Back to Office of the Registrar's Home Page