Mentors: Professor A. Hundemer, Department of Mathematics and Statistics, Faculty of Science
This program is comprised of 39 credits.
Students entering the Major Concentration in Mathematics 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 (30 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
 Instructors
 JianJun Xu, Michael Brandenbursky, JianJun Xu
 Gantumur Tsogtgerel

MATH 235
Algebra 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; group actions on sets.
Offered by: Mathematics and Statistics
 Fall
 3 hours lecture; 1 hour tutorial
 Prerequisite: MATH 133 or equivalent

MATH 236
Algebra 2
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and
eigenvalues. Diagonalizable operators. CayleyHamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric
matrices. Canonical forms.
Offered by: Mathematics and Statistics
 Terms
 Instructors
 There are no professors associated with this course for the 2014 academic year.

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
 Ivo Klemes
 Neville G F Sancho

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

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
 Instructors
 William J Anderson
 Djivede A Kelome

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
 Christian Genest
 Russell Steele

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 (9 Credits)
6 credits selected 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.
 Terms
 Instructors
 There are no professors associated with this course for the 2014 academic year.

MATH 316
Complex Variables
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Algebra of complex numbers, CauchyRiemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.
Offered by: Mathematics and Statistics

MATH 317
Numerical Analysis
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
Offered by: Mathematics and Statistics

MATH 319
Intro to Partial Diff Equas
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, SturmLiouville theory, Fourier series, boundary and initial value problems.
Offered by: Mathematics and Statistics

MATH 326
Nonlinear Dynamics and Chaos
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, PoincareBendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
Offered by: Mathematics and Statistics

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 407
Dynamic Programming
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sequential decision problems, resource allocation, transportation problems, equipment replacement, integer programming, network analysis, inventory systems, project scheduling, queuing theory calculus of variations, markovian decision processes, stochastic path problems, reliability, discrete and continuous control processes.
Offered by: Mathematics and Statistics
 Symbols:
 Taught only in alternate years
 Terms
 This course is not scheduled for the 2014 academic year
 Instructors
 There are no professors associated with this course for the 2014 academic year.

MATH 410
Majors Project
3 Credits
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, Djivede A Kelome, Niky Kamran
 Djivede A Kelome

MATH 417
Mathematical Programming
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): An introductory course in optimization by linear algebra, and calculus methods. Linear programming (convex polyhedra, simplex method, duality, multicriteria problems), integer programming, and some topics in nonlinear programming (convex functions, optimality conditions, numerical methods). Representative applications to various disciplines.
Offered by: Mathematics and Statistics

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
3 credits selected from:

MGSC 372
Advanced Business Statistics
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Management Science: A practical managerial approach to advanced simple and multiple regression analysis, with application in finance, economics and business, including a review of probability theory, an introduction to methods of least squares and maximum likelihood estimation, autoregressive forecasting models and analysis of variance.
Offered by: Management
 Terms
 Instructors
 Brian E Smith
 Brian E Smith

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 2014 academic year
 Instructors
 There are no professors associated with this course for the 2014 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 2014 academic year
 Instructors
 There are no professors associated with this course for the 2014 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
 There are no professors associated with this course for the 2014 academic year.
Notes:
Credits for MATH 324 are counted toward Management Core, where they replace MGCR 271.
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 Calendar.
MGSC 372 and MATH 423 cannot both be taken for program credit.