Mathematics (Desautels Faculty of Management)
Mathematics and statistics are omnipresent in today's world of information and technology. Their theories, models, and methods are integral to the way we analyze, understand, and build the world around us. They play a key role in nearly every effort to push the boundaries of science, engineering, medicine, and social sciences and contribute, in a major way, to solving some of the most pressing human, environmental, and economic problems of our time.
DETAILED PROGRAM OUTLINES:
Program Requirement:
Mentor: Professor A. Hundemer; Department of Mathematics and Statistics, Faculty of Science.
All BCom students take a Core curriculum in addition to this Major.
Students entering the Major Concentration in Mathematics are normally expected to have completed MATH 133, MATH 140, and MATH 141 or their equivalents. 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 (63 credits)
Management Core (33 credits)

ECON 295 Macroeconomics Policy 3 Credits
 Fall
 Winter
 Summer
Offered in the:Economics (Arts): This applied macroeconomics course focuses on current and recurrent macroeconomic issues important in understanding the public policy environment in which firms make their decisions. Topics include national accounts; national income determination; economic growth and fluctuations; money, monetary policy and financial markets; international trade and finance.
Offered by: Economics
 Corequisite: MGCR 293
 Restriction: For B.Com. students
 Restriction: Not open to students who have taken or are taking ECON 209, ECON 330D1/D2 or ECON 352D1/D2.
 Continuing Studies: requirement for CMA, CGA, I.C.B., the EA of AACI, and the CRA
 Continuing Studies: not open to fulltime day students
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Moshe Lander
 Mayssun ElAttar Vilalta

MGCR 211 Intro to Financial Accounting 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: The role of financial accounting in the reporting of the financial performance of a business. The principles, components and uses of financial accounting and reporting from a user's perspective, including the recording of accounting transactions and events, the examination of the elements of financial statements, the preparation of financial statements and the analysis of financial results.
Offered by: Management
 Continuing Studies: requirement for CMA, CGA, the EA of AACI, and the Institute of Internal Auditors
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Philippe Levy, Hongping Tan, Seunghwan Oh
 Dongyoung Lee

MGCR 222 Intro to Org Behaviour 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: Individual motivation and communication style; group dynamics as related to problem solving and decision making, leadership style, work structuring and the larger environment. Interdependence of individual, group and organization task and structure.
Offered by: Management
 Continuing Studies: requirement for CMA, CGA, the EA of AACI, and the Institute of Internal Auditors
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Alfred M Jaeger, Chantal Westgate, JeanNicolas Reyt, JohnPaul Ferguson
 Chantal Westgate, Diana Dakhlallah

MGCR 293 Managerial Economics 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: The course focuses on the application of economic theory to management problems and the economic foundations of marketing, finance, and production. Attention is given to the following topics: price and cost analysis; demand and supply analysis, conditions of competition.
Offered by: Management
 Restrictions: Not for credit for students who have taken or are taking any of the following: ECON 208, ECON 230D1/D2 and ECON 250D1/D2.
 Continuing Studies: requirement for CMA, CGA, the EA of AACI, and the CRA
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 K Sheikholeslami Salmasi, Tariq A Nizami, Taweewan Sidthidet

MGCR 331 Information Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: Introduction to principles and concepts of information systems in organizations. Topics include information technology, transaction processing systems, decision support systems, database and systems development. Students are required to have background preparation on basic micro computer skills including spreadsheet and wordprocessing.
Offered by: Management
 Prerequisite (Continuing Studies): CMSC 101 Mathematical Tools for Management Professionals or equivalent Basic computer skills including DOS, Spreadsheets and Wordprocessing and Database.
 Restriction: Fall sections restricted to BCom students
 Continuing Studies: requirement for the Institute of Internal Auditors, CMA, CGA
 A special seminar will be available to those students who do not possess the above basic computer skills, at the students' own expense.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MGCR 341 Introduction to Finance 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: An introduction to the principles, issues, and institutions of Finance. Topics include valuation, risk, capital investment, financial structure, cost of capital, working capital management, financial markets, and securities.
Offered by: Management
 Corequisite: MGCR 271 or equivalent
 Continuing Studies: requirement for CMA, CGA, the EA of AACI, and the Institute of Internal Auditors
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Vadim di Pietro
 Sujata Madan, Vadim di Pietro

MGCR 352 Principles of Marketing 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: Introduction to marketing principles, focusing on problem solving and decision making. Topics include: the marketing concept; marketing strategies; buyer behaviour; Canadian demographics; internal and external constraints; product; promotion; distribution; price. Lectures, text material and case studies.
Offered by: Management
 Continuing Studies: requirement for the Institute of Internal Auditors, and the Canadian Institute of Management
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Robert H S Soroka, Hee Ryung Kim, Hamid Etemad
 Emine Sarigollu, Nathan Yang, Yi Lu

MGCR 360 Social Context of Business 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: This course examines how business interacts with the larger society. It explores the development of modern capitalist society, and the dilemmas that organizations face in acting in a socially responsible manner. Students will examine these issues with reference to sustainable development, business ethics, globalization and developing countries, and political activity.
Offered by: Management
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Glen Whelan, Jonathan Moyal, Lindsay Holmgren
 Jan J Jorgensen, Lindsay Holmgren, Saku O Mantere, Arvind Karunakaran

MGCR 382 International Business 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: An introduction to the world of international business. Economic foundations of international trade and investment. The international trade, finance, and regulatory frameworks. Relations between international companies and nationstates, including costs and benefits of foreign investment and alternative controls and responses. Effects of local environmental characteristics on the operations of multinational enterprises.
Offered by: Management
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Donald Melville, Jan J Jorgensen
 Donald Melville

MGCR 423 Strategic Management 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: An integrative and interdisciplinary introduction to strategy formation and execution. Concepts, tools, and practical application to understand how firms leverage resources and capabilities to gain competitive advantage in dynamic, contemporary industries. Strategic positioning, organizational design, and managerial action for the longterm success of businesses and positive social and ecological outcomes.
Offered by: Management
 Restriction: Open to U2, U3 students only
 Continuing Studies: requirement for CMA, CGA, the Institute of Internal Auditors, and the Canadian Institute of Management  in addition to these, the course "Introduction to Business," CGMG 282 is also required for C.I.M.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Karl James Moore, Donald Melville, Matthew S Corritore, Gregory Bryan Vit
 Gregory Bryan Vit, Kwangjun An

MGCR 472 Operations Management 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Core: Design, planning, establishment, control, and improvement of the activities/processes that create a firm's final products and/or services. The interaction of operations with other business areas will also be discussed. Topics include forecasting, product and process design, waiting lines, capacity planning, inventory management and total quality management.
Offered by: Management
 Prerequisite: MGCR 271 or equivalent
 Requirement for the Canadian Institute of Management
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Shanling Li, Malleswara Talla
 Yichuan (Daniel) Ding
Major (30 credits)

MATH 222 Calculus 3 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald, Broderick J Causley
 Jérôme Fortier

MATH 235 Algebra 1 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Fall 2019
 Instructors
 Daniel T Wise

MATH 236 Algebra 2 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Winter
 Prerequisite: MATH 235
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 242 Analysis 1 3 Credits
 Fall
 Winter
 Summer
Offered in the: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.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Jerome Vetois

MATH 243 Analysis 2 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Winter 2020
 Instructors
 Axel W Hundemer

MATH 314 Advanced Calculus 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Prerequisites: MATH 133, MATH 222
 Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Charles Roth

MATH 315 Ordinary Differential Eqns 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 222.
 Corequisite: MATH 133.
 Restriction: Not open to students who have taken or are taking MATH 325.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 JeanChristophe Nave
 Rosalie BélangerRioux

MATH 323 Probability 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Shomoita Alam, Jose Andres Correa
 David B Wolfson, Djivede A Kelome

MATH 324 Statistics 3 Credits
 Fall
 Winter
 Summer
Offered in the: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.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Masoud AsgharianDastenaei

MGSC 373 Operations Research 1 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Fall 2019
 Instructors
 Brian E Smith
Complementary Courses (9 credits)
6 credits selected from:

MATH 204 Principles of Statistics 2 3 Credits**
 Fall
 Winter
 Summer
Offered in the: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.
 Symbols:
 **
 Terms
 Winter 2020
 Instructors
 Christian Genest

MATH 316 Complex Variables 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 314 or equivalent and MATH 243.
 Restriction: Not open to students who have taken or are taking MATH 249, MATH 366, MATH 381 or MATH 466.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Brent Pym

MATH 317 Numerical Analysis 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.
 Restrictions: Not open to students who have taken COMP 350
 Symbols:
 Terms
 Fall 2019
 Instructors
 Peter Bartello

MATH 319 Intro to Partial Diff Equas 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Winter
 Prerequisites: MATH 223 or MATH 236, MATH 314 or equivalent, MATH 315
 Prerequisites: MATH 223 or MATH 236, MATH 314, MATH 315
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 326 Nonlinear Dynamics and Chaos 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 222, MATH 223
 Restriction: Not open to students who have taken or are taking MATH 376
 Symbols:
 Terms
 Fall 2019
 Instructors
 Antony Raymond Humphries

MATH 340 Discrete Mathematics 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
Offered by: Mathematics and Statistics
 Winter
 Prerequisites: MATH 235 or MATH 240 or MATH 242.
 Corequisites: MATH 223 or MATH 236.
 Restriction: Restriction: Not open to students who have taken or are taking MATH 350.
 Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
 Symbols:
 Terms
 Winter 2020
 Instructors
 Jérôme Fortier

MATH 407 Dynamic Programming 3 Credits
 Fall
 Winter
 Summer
Offered in the: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:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 410 Majors Project 3 Credits
 Fall
 Winter
 Summer
Offered in the: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:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Djivede A Kelome, Russell Steele
 Djivede A Kelome

MATH 417 Linear Optimization 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): An introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interiorpoint methods, quadratic optimization, applications in game theory.
Offered by: Mathematics and Statistics
 Prerequisites: COMP 202, and MATH 223 or MATH 236, and MATH 314 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 487 or MATH 517.
 Symbols:
 Terms
 Fall 2019
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 423 Regression&Anal of Variance 3 Credits***
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 324, and MATH 223 or MATH 236
 Restriction: Not open to students who have taken or are taking MATH 533.
 Symbols:
 ***
 Terms
 Fall 2019
 Instructors
 Yi Yang
3 credits selected from:

MGSC 372 Advanced Business Statistics 3 Credits***
 Fall
 Winter
 Summer
Offered in the: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
 Prerequisite: MGCR 271
 Symbols:
 ***
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Brian E Smith
 Brian E Smith

MGSC 479 Applied Optimization 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Science: Applications of optimization models to management problems, including Linear Programming, Integer Programming and Nonlinear Programming.
Offered by: Management
 Prerequisite: MGSC 373.
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MGSC 575 Appl Time Series Anal Man Fcst 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MGSC 578 Simulation of Mgmt Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year
** 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.
*** MGSC 372 and MATH 423 cannot both be taken for program credit.
Program Requirement:
Mentor: Professor A. Kelome, Department of Mathematics and Statistics, Faculty of Science
Program Prerequisites

MATH 133 Linear Algebra and Geometry 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases; quadratic loci in two and three dimensions.
Offered by: Mathematics and Statistics
 3 hours lecture, 1 hour tutorial
 Prerequisite: a course in functions
 Restriction A: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
 Restriction B: Not open to students who have taken or are taking MATH 123, MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
 Restriction C: Not open to students who are taking or have taken MATH 134.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Zayd Omar, Rosalie BélangerRioux

MATH 140 Calculus 1 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Offered by: Mathematics and Statistics
 3 hours lecture, 1 hour tutorial
 Prerequisite: High School Calculus
 Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
 Restriction: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
 Each Tutorial section is enrolment limited
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Isabella Negrini, Sidney Trudeau
 Jérôme Fortier

MATH 141 Calculus 2 4 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 139 or MATH 140 or MATH 150.
 Restriction: Not open to students who have taken MATH 121 or CEGEP objective 00UP or equivalent
 Restriction Note B: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
 Each Tutorial section is enrolment limited
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Asad Haris, Sidney Trudeau, Brahim Abdenbi
 Jeremy D Macdonald, Sidney Trudeau
or their equivalents
Required Courses (12 credits)

MATH 222 Calculus 3 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald, Broderick J Causley
 Jérôme Fortier

MATH 223 Linear Algebra 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Djivede A Kelome
 Jeremy D Macdonald

MATH 315 Ordinary Differential Eqns 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 222.
 Corequisite: MATH 133.
 Restriction: Not open to students who have taken or are taking MATH 325.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 JeanChristophe Nave
 Rosalie BélangerRioux

MGSC 373 Operations Research 1 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Fall 2019
 Instructors
 Brian E Smith
Complementary Courses (6 credits)
Maximum of 3 credits from:

MGSC 372 Advanced Business Statistics 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Prerequisite: MGCR 271
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Brian E Smith
 Brian E Smith

MGSC 479 Applied Optimization 3 Credits
 Fall
 Winter
 Summer
Offered in the:Management Science: Applications of optimization models to management problems, including Linear Programming, Integer Programming and Nonlinear Programming.
Offered by: Management
 Prerequisite: MGSC 373.
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MGSC 575 Appl Time Series Anal Man Fcst 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MGSC 578 Simulation of Mgmt Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year
The remaining 3 credits selected from:

MATH 316 Complex Variables 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 314 or equivalent and MATH 243.
 Restriction: Not open to students who have taken or are taking MATH 249, MATH 366, MATH 381 or MATH 466.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Brent Pym

MATH 317 Numerical Analysis 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.
 Restrictions: Not open to students who have taken COMP 350
 Symbols:
 Terms
 Fall 2019
 Instructors
 Peter Bartello

MATH 319 Intro to Partial Diff Equas 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Winter
 Prerequisites: MATH 223 or MATH 236, MATH 314 or equivalent, MATH 315
 Prerequisites: MATH 223 or MATH 236, MATH 314, MATH 315
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 323 Probability 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Symbols:
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 Fall 2019
 Winter 2020
 Instructors
 Shomoita Alam, Jose Andres Correa
 David B Wolfson, Djivede A Kelome

MATH 326 Nonlinear Dynamics and Chaos 3 Credits
 Fall
 Winter
 Summer
Offered in the: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
 Fall
 Prerequisites: MATH 222, MATH 223
 Restriction: Not open to students who have taken or are taking MATH 376
 Symbols:
 Terms
 Fall 2019
 Instructors
 Antony Raymond Humphries

MATH 340 Discrete Mathematics 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
Offered by: Mathematics and Statistics
 Winter
 Prerequisites: MATH 235 or MATH 240 or MATH 242.
 Corequisites: MATH 223 or MATH 236.
 Restriction: Restriction: Not open to students who have taken or are taking MATH 350.
 Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
 Symbols:
 Terms
 Winter 2020
 Instructors
 Jérôme Fortier

MATH 407 Dynamic Programming 3 Credits
 Fall
 Winter
 Summer
Offered in the: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:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 417 Linear Optimization 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): An introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interiorpoint methods, quadratic optimization, applications in game theory.
Offered by: Mathematics and Statistics
 Prerequisites: COMP 202, and MATH 223 or MATH 236, and MATH 314 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 487 or MATH 517.
 Symbols:
 Terms
 Fall 2019
 Instructors
 There are no professors associated with this course for the 20192020 academic year