FACULTY OF SCIENCE

MATHEMATICS AND STATISTICS COURSE LIST

Course List Note

Foundation Courses

Common Core Mathematics Courses

Applied Mathematics Courses

Pure Mathematics Courses

Statistics Courses


COURSE LIST

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.

FOUNDATION COURSES

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 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.

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.

APPLIED 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.

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 T2 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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