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Program Requirements

*** New Program ***
Taken together with the B.A.; Major Concentration in Statistics, this program constitutes an equivalent of the B.Sc.; Major in Statistics program offered by the Faculty of Science. It provides training in statistics, with a mathematical core and basic training in computing. With satisfactory performance in an appropriate selection of courses, these two programs can lead to the accreditation "A.Stat" from the Statistical Society of Canada, which is regarded as the entry level requirement for a statistician practicing in Canada.

This supplementary minor concentration is open only to students registered in the B.A.; Major Concentration in Statistics. Taken together, these two programs constitute a program equivalent to the B.Sc.; Major in Statistics offered by the Faculty of Science. No course overlap between the B.A.; Major Concentration in Statistics and the B.A.; Supplementary Minor Concentration in Statistics is permitted.

Note that according to the Faculty of Arts Multi-Track System degree requirements, option C, students registered in the B.A.; Supplementary Minor Concentration in Statistics must also complete another minor concentration in a discipline other than Mathematics and Statistics. For more information about the Multi-Track System options, please refer to Faculty of Arts regulations under "Faculty Degree Requirements," "About Program Requirements," and "Departmental Programs."

Guidelines for Course Selection

Students are strongly advised to complete all required courses and all Part I and Part II complementary courses
by the end of U2, except for MATH 423.

Where appropriate, Honours courses may be substituted for equivalent courses. Students planning to pursue graduate studies are encouraged to make such substitutions, and to take MATH 556 and MATH 557 as complementary courses.

Required Courses (6 credits)

* If MATH 423 has been taken as part of the B.A.; Major Concentration in Statistics, another 3-credit
complementary course from Part II must be taken.

• MATH 243 Analysis 2 (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Winter 2021

  Instructors: Hundemer, Axel W (Winter)

  • Winter

  • Prerequisite: MATH 242 or MATH 254.

• MATH 423 Applied Regression (3 credits) *

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Multiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.

  Terms: Fall 2020

  Instructors: Yang, Yi (Fall)

  • Fall

  • Prerequisites: MATH 324, and MATH 223 or MATH 236

  • Restriction: Not open to students who have taken or are taking MGSC 372.

Complementary Courses (12 credits)

Part I: 3 credits selected from **:
** Students who have sufficient knowledge in programming are encouraged to take COMP 250.

• COMP 202 Foundations of Programming (3 credits)

  Offered by: Computer Science (Faculty of Science)

  Overview

  Computer Science (Sci) : Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.

  Terms: Fall 2020, Winter 2021, Summer 2021

  Instructors: Alberini, Giulia; Campbell, Jonathan (Fall) Alberini, Giulia; Campbell, Jonathan (Winter) Parekh, Deven (Summer)

  • 3 hours

  • Prerequisite: a CEGEP level mathematics course

  • Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250

• COMP 204 Computer Programming for Life Sciences (3 credits)

  Offered by: Computer Science (Faculty of Science)

  Overview

  Computer Science (Sci) : Computer Science (Sci): Computer programming in a high level language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms, modular software design, libraries, file input/output, debugging. Emphasis on applications in the life sciences.

  Terms: Fall 2020, Winter 2021

  Instructors: Blanchette, Mathieu (Fall) Li, Yue (Winter)

  • Prerequisite(s): BIOL 112. CEGEP level mathematics course.

  • Restriction(s): Only one of COMP 204, COMP 202 and COMP 208 can be taken for credit.

  • COMP 204 cannot be taken for credit with or after COMP 250, COMP 206, COMP 208, or COMP 364.

• COMP 208 Computer Programming for Physical Sciences and Engineering (3 credits)

  Offered by: Computer Science (Faculty of Science)

  Overview

  Computer Science (Sci) : Programming and problem solving in a high level computer language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms such as searching and sorting. Modular software design, libraries, file input and output, debugging. Emphasis on applications in Physical Sciences and Engineering, such as root finding, numerical integration, diffusion, Monte Carlo methods.

  Terms: Fall 2020, Winter 2021

  Instructors: Vybihal, Joseph P; Becerra, David (Fall) Zammar, Chad (Winter)

  • 3 hours

  • Prerequisite: MATH 141 or equivalent.

  • Corequisite: MATH 133 or equivalent.

  • Restrictions: Credit can be given only for one of COMP 202, COMP 204, or COMP 208. COMP 208 cannot be taken for credit with or after COMP 250 or COMP 206.

  • COMP 202 is intended as a general introductory course, while COMP 208 is intended for students with sufficient math background and in (non-life) science or engineering fields.

• COMP 250 Introduction to Computer Science (3 credits)

  Offered by: Computer Science (Faculty of Science)

  Overview

  Computer Science (Sci) : Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and non-recursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.

  Terms: Fall 2020, Winter 2021

  Instructors: Alberini, Giulia (Fall) Alberini, Giulia (Winter)

  • 3 hours

  • Prerequisites: Familiarity with a high level programming language and CEGEP level Math.

  • Students with limited programming experience should take COMP 202 or equivalent before COMP 250. See COMP 202 Course Description for a list of topics.

Part II: 3 credits selected from:
*** Students can take either MATH 317 or COMP 350, but not both.

• COMP 350 Numerical Computing (3 credits) ***

  Offered by: Computer Science (Faculty of Science)

  Overview

  Computer Science (Sci) : Computer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.

  Terms: Fall 2020, Winter 2021

  Instructors: Chang, Xiao-Wen (Fall)

  • 3 hours

  • Prerequisites: MATH 222 and MATH 223 and one of: COMP 202, COMP 208, COMP 250; or equivalents.

  • Restrictions: Students cannot receive credit for both COMP 350 and MATH 317.

• MATH 314 Advanced Calculus (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Fall 2020, Winter 2021

  Instructors: Roth, Charles (Fall) Toth, John A (Winter)

  • Prerequisites: MATH 133, MATH 222

  • Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.

• MATH 315 Ordinary Differential Equations (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

  Terms: Fall 2020, Winter 2021, Summer 2021

  Instructors: Paquette, Courtney (Fall) Shirazi, Mohammad (Winter) Roth, Charles (Summer)

  • Prerequisite: MATH 222.

  • Corequisite: MATH 133.

  • Restriction: Not open to students who have taken or are taking MATH 325.

• MATH 316 Complex Variables (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.

  Terms: Fall 2020

  Instructors: Pym, Brent (Fall)

  • 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.

• MATH 317 Numerical Analysis (3 credits) ***

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.

  Terms: Fall 2020

  Instructors: Bartello, Peter (Fall)

  • 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

• MATH 326 Nonlinear Dynamics and Chaos (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.

  Terms: Fall 2020

  Instructors: Nave, Jean-Christophe (Fall)

  • Fall

  • Prerequisites: MATH 222, MATH 223

  • Restriction: Not open to students who have taken or are taking MATH 376

• MATH 327 Matrix Numerical Analysis (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : An overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.

  Terms: Winter 2021

  Instructors: Salvador, Tiago (Winter)

  • Winter

  • Prerequisites: MATH 223 or MATH 236 or MATH 247 or MATH 251, COMP 202 or consent of instructor.

• MATH 329 Theory of Interest (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation.

  Terms: Winter 2021

  Instructors: Kelome, Djivede (Winter)

  • Winter

  • Prerequisite: MATH 141

• MATH 340 Discrete Mathematics (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.

  Terms: Winter 2021

  Instructors: Fortier, Jérôme (Winter)

  • 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.

• MATH 350 Honours Discrete Mathematics (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Discrete mathematics. Graph Theory: matching theory, connectivity, planarity, and colouring; graph minors and extremal graph theory. Combinatorics: combinatorial methods, enumerative and algebraic combinatorics, discrete probability.

  Terms: Fall 2020

  Instructors: Norin, Sergey (Fall)

  • Prerequisites: MATH 235 or MATH 240 and MATH 251 or MATH 223.

  • Restrictions: Not open to students who have taken or are taking MATH 340. Intended for students in mathematics or computer science honours programs.

  • Intended for students in mathematics or computer science honours programs.

• MATH 417 Linear Optimization (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : An introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interior-point methods, quadratic optimization, applications in game theory.

  Terms: Fall 2020

  Instructors: Hoheisel, Tim (Fall)

  • 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.

• MATH 430 Mathematical Finance (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Introduction to concepts of price and hedge derivative securities. The following concepts will be studied in both concrete and continuous time: filtrations, martingales, the change of measure technique, hedging, pricing, absence of arbitrage opportunities and the Fundamental Theorem of Asset Pricing.

  Terms: This course is not scheduled for the 2020-2021 academic year.

  Instructors: There are no professors associated with this course for the 2020-2021 academic year.

  • Prerequisite(s): MATH 243 or MATH 255, and MATH 323 or MATH 356, and MATH 133 or equivalent.

Part III: 6 credits selected from:
+ Students can take either MATH 410 or MATH 420, but not both.

• CCOM 314 Communicating Science (3 credits)

  Offered by: º£½ÇÉçÇø Writing Centre (School of Continuing Studies)

  Overview

  Communication (CCE) : Production of written and oral assignments (in English) designed to communicate scientific problems and findings to varied audiences Analysis of the disciplinary conventions of scientific discourse in terms of audience, purpose, organization, and style; comparative rhetorical analysis of academic and popular genres, including abstracts, lab reports, research papers, print and online journalism.

  Terms: Fall 2020, Winter 2021, Summer 2021

  Instructors: Dechief, Diane; Kimmett, Colleen; Lamb, Pamela (Fall) Dechief, Diane; Lamb, Pamela (Winter) Lamb, Pamela; Dechief, Diane; Kimmett, Colleen (Summer)

• COMP 551 Applied Machine Learning (4 credits)

  Offered by: Computer Science (Faculty of Science)

  Overview

  Computer Science (Sci) : Selected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.

  Terms: Fall 2020, Winter 2021

  Instructors: Ravanbakhsh, Siamak (Fall) Rabbany, Reihaneh (Winter)

  • Prerequisite(s): MATH 323 or ECSE 205 or ECSE 305 or equivalent

  • Restriction(s): Not open to students who have taken or are taking COMP 451.

  • Some background in Artificial Intelligence is recommended, e.g. COMP-424 or ECSE-526, but not required.

• MATH 410 Majors Project (3 credits) +

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : A supervised project.

  Terms: Fall 2020, Winter 2021, Summer 2021

  Instructors: Kelome, Djivede; Khadra, Anmar; Choksi, Rustum; Steele, Russell (Fall) Kelome, Djivede; Genest, Christian; Steele, Russell; Neslehova, Johanna; Bub, Gil; Khalili Mahmoudabadi, Abbas (Winter) Asgharian, Masoud; Kelome, Djivede; Sajjad, Alia; Yang, Yi (Summer)

  • 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.

• MATH 420 Independent Study (3 credits) +

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Reading projects permitting independent study under the guidance of a staff member specializing in a subject where no appropriate course is available. Arrangements must be made with an instructor and the Chair before registration.

  Terms: Fall 2020, Winter 2021

  Instructors: Neslehova, Johanna; Jakobson, Dmitry (Fall) Neslehova, Johanna; Steele, Russell (Winter)

  • Fall and Winter and Summer

  • Requires approval by the chair before registration

  • Please see regulations concerning Project Courses under Faculty Degree Requirements

• MATH 427 Statistical Quality Control (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Introduction to quality management; variability and productivity. Quality measurement: capability analysis, gauge capability studies. Process control: control charts for variables and attributes. Process improvement: factorial designs, fractional replications, response surface methodology, Taguchi methods. Acceptance sampling: operating characteristic curves; single, multiple and sequential acceptance sampling plans for variables and attributes.

  Terms: This course is not scheduled for the 2020-2021 academic year.

  Instructors: There are no professors associated with this course for the 2020-2021 academic year.

  • Prerequisites: MATH 203 or equivalent, and MATH 204 or MATH 324.

• MATH 447 Introduction to Stochastic Processes (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Winter 2021

  Instructors: Paquette, Elliot (Winter)

  • 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 by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Exponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, log-linear models. Multinomial models. Overdispersion and Quasilikelihood. Applications to experimental and observational data.

  Terms: Winter 2021

  Instructors: Neslehova, Johanna (Winter)

  • Winter

  • Prerequisite: MATH 423 or MATH 533 or EPIB 697.

• MATH 524 Nonparametric Statistics (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Distribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.

  Terms: Fall 2020

  Instructors: Wolfson, David B (Fall)

  • Fall

  • Prerequisite: MATH 324 or equivalent

  • Restriction: Not open to students who have taken MATH 424

• MATH 525 Sampling Theory and Applications (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Winter 2021

  Instructors: Steele, Russell (Winter)

  • Prerequisite: MATH 324 or equivalent

  • Restriction: Not open to students who have taken MATH 425

• MATH 540 Life Actuarial Mathematics (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Life tables and distributions; force of mortality; premium, net premium, and reserve valuation for life insurance and annuity contracts (discrete and continuous case); cash flow analysis for portfolios of life insurance and annuities; asset liability management; numerical techniques for multiple decrement and state models; portfolio valuation of aggregate risks.

  Terms: This course is not scheduled for the 2020-2021 academic year.

  Instructors: There are no professors associated with this course for the 2020-2021 academic year.

  • Prerequisites: MATH 323 or equivalent and MATH 329

• MATH 541 Nonlife Actuarial Models (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Stochastic models and inference for loss severity and claim frequency distributions; computational techniques for the aggregation of independent risks (Panjer's algorithm, FFT, etc.); risk measures and quantitative risk management applications; models and inference for multivariate data, heavy-tail distributions, and extremes; dynamic risk models based on stochastic processes and ruin theory.

  Terms: This course is not scheduled for the 2020-2021 academic year.

  Instructors: There are no professors associated with this course for the 2020-2021 academic year.

  • Prerequisites: MATH 323 and MATH 324 or equivalent

• MATH 545 Introduction to Time Series Analysis (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Stationary processes; estimation and forecasting of ARMA models; non-stationary and seasonal models; state-space models; financial time series models; multivariate time series models; introduction to spectral analysis; long memory models.

  Terms: This course is not scheduled for the 2020-2021 academic year.

  Instructors: There are no professors associated with this course for the 2020-2021 academic year.

  • Prerequisite: MATH 324 or MATH 357 or equivalent

• MATH 556 Mathematical Statistics 1 (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Distribution theory, stochastic models and multivariate transformations. Families of distributions including location-scale families, exponential families, convolution families, exponential dispersion models and hierarchical models. Concentration inequalities. Characteristic functions. Convergence in probability, almost surely, in Lp and in distribution. Laws of large numbers and Central Limit Theorem. Stochastic simulation.

  Terms: Fall 2020

  Instructors: Khalili Mahmoudabadi, Abbas (Fall)

  • Fall

  • Prerequisite: MATH 357 or equivalent

• MATH 557 Mathematical Statistics 2 (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Sampling theory (including large-sample theory). Likelihood functions and information matrices. Hypothesis testing, estimation theory. Regression and correlation theory.

  Terms: Winter 2021

  Instructors: Asgharian, Masoud (Winter)

  • Winter

  • Prerequisite: MATH 556

• MATH 598 Topics in Probability and Statistics (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : This course covers a topic in probability and/or statistics.

  Terms: Fall 2020, Winter 2021

  Instructors: Stephens, David (Fall) Stephens, David (Winter)

  • Prerequisite(s): At least 30 credits in required or complementary courses from the Honours in Probability and Statistics program including MATH 356. Additional prerequisites may be imposed by the Department of Mathematics and Statistics depending on the nature of the topic.

  • Restriction(s): Requires permission of the Department of Mathematics and Statistics.