Mentor: Professor R. Steele, Department of Mathematics and Statistics, Faculty of Science
This program is comprised of 39 credits.
Students entering the Major Concentration in Statistics are normally expected to have completed MATH 133, MATH 140, and MATH 141. Otherwise they will be required to make up any deficiencies in these courses over and above the 39 credits required by the program.
Required Courses (27 credits)

MATH 222 Calculus 3 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
 Terms
 Fall 2018
 Winter 2019
 Summer 2019
 Instructors
 Jeremy D Macdonald, Dmitry Faifman
 Lars M Sektnan

MATH 223 Linear Algebra 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 133 or equivalent
 Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
 Terms
 Instructors
 Djivede A Kelome
 Jeremy D Macdonald

MATH 242 Analysis 1 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Offered by: Mathematics and Statistics
 Fall
 Prerequisite: MATH 141
 Restriction(s): Not open to students who are taking or who have taken MATH 254.

MATH 243 Analysis 2 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.
Offered by: Mathematics and Statistics

MATH 314 Advanced Calculus 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
Offered by: Mathematics and Statistics
 Terms
 Instructors
 Charles Roth
 Stephen W Drury

MATH 323 Probability 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356
 Terms
 Fall 2018
 Winter 2019
 Summer 2019
 Instructors
 David A Stephens
 David B Wolfson

MATH 324 Statistics 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 323 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 357
 You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
 Terms
 Instructors
 Abbas Khalili Mahmoudabadi
 Masoud AsgharianDastenaei

MATH 423 Regression&Anal of Variance 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Leastsquares estimators and their properties. Analysis of variance. Linear models with general covariance. Multivariate normal and chisquared distributions; quadratic forms. General linear hypothesis: Ftest and ttest. Prediction and confidence intervals. Transformations and residual plot. Balanced designs.
Offered by: Mathematics and Statistics

MGSC 373 Operations Research 1 3 Credits Offered in the:
 Fall
 Winter
 Summer
Management Science: A realistic experience of analytical models which have been successfully applied in several areas of managerial decisionmaking like marketing, finance and IS. Emphasis on the formulation of problems, their solution approaches, limitations, underlying assumptions and practical use. Topics include: decision analysis, project management, simulation, linear and integer programming, sensitivity analysis.
Offered by: Management
 Prerequisite: MGCR 271
 Prerequisite (Continuing Studies): MGCR 273
 Restriction: Not open to students who have taken MGCR 373
 Continuing Studies: CMA Requirement
* Credits for MATH 324 are counted toward Management Core, where they replace MGCR 271.
Complementary Courses (12 Credits)
maximum of 6 credits from:

MGSC 479 Applied Optimization 3 Credits Offered in the:
 Fall
 Winter
 Summer
Management Science: Applications of optimization models to management problems, including Linear Programming, Integer Programming and Nonlinear Programming.
Offered by: Management
 Terms
 This course is not scheduled for the 2018 academic year
 Instructors
 There are no professors associated with this course for the 2018 academic year

MGSC 575 Appl Time Series Anal Man Fcst 3 Credits Offered in the:
 Fall
 Winter
 Summer
Management Science: Management applications of time series analysis. Starting with ratiotomoving average methods, the course deals successively with Census 2, exponential smoothing methods, the methodology introduced by Box and Jenkins, spectral analysis and timeseries regression techniques. Computational aspects and applications of the methodology are emphasized.
Offered by: Management
 Prerequisite (Undergraduate): MGCR 271.
 Restriction: Not open to students who have taken MGSC 675.
 Terms
 This course is not scheduled for the 2018 academic year
 Instructors
 There are no professors associated with this course for the 2018 academic year

MGSC 578 Simulation of Mgmt Systems 3 Credits Offered in the:
 Fall
 Winter
 Summer
Management Science: Building simulation models of management systems. Design of simulation experiments and the analysis and implementation of results. Students are expected to design a complete simulation of a real problem using a standard simulation language.
Offered by: Management
 Prerequisite: (Undergraduate) MGCR 271.
 Restriction: Not open to students who have taken MGSC 678.
 Terms
 Instructors
 Alexandre Ouellet, Andre Jacques
remaining credits to be taken from:

MATH 204 Principles of Statistics 2 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): The concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.
Offered by: Mathematics and Statistics
 Winter
 Prerequisite: MATH 203 or equivalent. No calculus prerequisites
 Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.
 You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.

MATH 315 Ordinary Differential Eqns 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Offered by: Mathematics and Statistics
 Terms
 Fall 2018
 Winter 2019
 Summer 2019
 Instructors
 JeanChristophe Nave
 Antony Raymond Humphries

MATH 340 Discrete Structures 2 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.
Offered by: Mathematics and Statistics

MATH 410 Majors Project 3 CreditsRequires departmental approval prior to registration
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): A supervised project.
Offered by: Mathematics and Statistics
 Prerequisite: Students must have 21 completed credits of the required mathematics courses in their program, including all required 200 level mathematics courses.
 Requires departmental approval.
 Symbols:
 Requires departmental approval prior to registration
 Terms
 Instructors
 Djivede A Kelome, David A Stephens, Gantumur Tsogtgerel, JeanPhilippe Lessard, Russell Steele, Johanna Neslehova
 Djivede A Kelome, Masoud AsgharianDastenaei, David A Stephens, Christian Genest, Gantumur Tsogtgerel, Niky Kamran, Dmitry Jakobson, Russell Steele

MATH 447 Intro. to Stochastic Processes 3 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Conditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
Offered by: Mathematics and Statistics
 Winter
 Prerequisite: MATH 323
 Restriction: Not open to students who have taken or are taking MATH 547.

MATH 523 Generalized Linear Models 4 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Modern discrete data analysis. Exponential families, orthogonality, link functions. Inference and model selection using analysis of deviance. Shrinkage (Bayesian, frequentist viewpoints). Smoothing. Residuals. Quasilikelihood. Contingency tables: logistic regression, loglinear models. Censored data. Applications to current problems in medicine, biological and physical sciences. R software.
Offered by: Mathematics and Statistics
 Winter
 Prerequisite: MATH 423
 Restriction: Not open to students who have taken MATH 426

MATH 524 Nonparametric Statistics 4 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Distribution free procedures for 2sample problem: Wilcoxon rank sum, SiegelTukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: KruskalWallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chisquare, likelihood ratio, KolmogorovSmirnov tests. Statistical software packages used.
Offered by: Mathematics and Statistics
 Fall
 Prerequisite: MATH 324 or equivalent
 Restriction: Not open to students who have taken MATH 424

MATH 525 Sampling Theory & Applications 4 Credits Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Simple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 324 or equivalent
 Restriction: Not open to students who have taken MATH 425
**MATH 204 cannot be taken for credit after credit for MATH 324 has been obtained. The two courses can be taken concurrently. Students should consult the rules for credit for statistics courses in the course overlap section of the Undergraduate Calender.