** Common
Core Mathematics Courses**

**
**

In accordance with Senate's *Policy Regarding Inactive Courses*,
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 COURSES**

**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*,
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/PM 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).

*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.*

**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 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). **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.** 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.

**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.

**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*,
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 Theormem.

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.

**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.

**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.

**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*,
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.**
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. Normally offered twice a year, including
the fall. Statistical computer package will be use in the laboratory,
but no prior computing experience is assumed.*

**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.

*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.*

**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,
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.**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.

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

**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.

**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 (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: 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.

** Inactive Course*

Last modified on July 9, 2003 by R. Bruce

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