Liberal Program - Core Science Component Statistics (B. Sc.)

Offered by:Mathematics and Statistics
Degree:Bachelor of Science

Program Requirement:

(45 or 48 credits)

This program provides training in statistics, with a solid mathematical core, and basic training in computing. With strong performance in an appropriate selection of courses, this program can lead to "A.Stat." professional accreditation from the Statistical Society of Canada, which is regarded as the entry level requirement for Statisticians practising in Canada.

Students may complete this program with a minimum of 45 credits or a maximum of 48 credits depending on whether or not they are required to take MATH 203.

Program Prerequisites

Students entering the Core Science Component in Statistics are normally expected to have completed the courses below or their equivalents. Otherwise they will be required to make up any deficiencies in these courses over and above the 45 credits required for the program.

• MATH 133 Linear Algebra and Geometry 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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. Linear transformations. Eigenvalues and diagonalization.

  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, except by permission of the Department of Mathematics and Statistics.
  • Restriction C: Not open to students who are taking or have taken MATH 134.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 140 Calculus 1 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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, except by permission of the Department of Mathematics and Statistics
  • Each Tutorial section is enrolment limited

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 141 Calculus 2 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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, except by permission of the Department of Mathematics and Statistics.
  • Each Tutorial section is enrolment limited

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year

In addition, a student who has not completed the equivalent of MATH 203 on entering the program must consult an academic adviser and take MATH 203 in the first semester, increasing the total number of program credits from 45 to 48.

Required Courses (27 credits)

* Students who have successfully completed a course equivalent to MATH 222 with a grade of C or better may omit MATH 222, but must replace it with 3 credits of complementary courses.

** Students who have sufficient knowledge in a programming language do not need to take COMP 202, but must replace it by either COMP 250 or COMP 350.

***MATH 236 is an equivalent prerequisiste to MATH 223 for required and complementary Computer Science courses listed below.

+ Students have to take MATH 204 prior to MATH 324.

• COMP 202 Foundations of Programming 3 Credits**

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Computer Science

  • 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

  • Symbols:
  • **

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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.

  • Symbols:
  • +

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
  • Restriction: Not open to students who have taken MATH 150, MATH 151 or MATH 262.

  • Symbols:
  • *

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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. Cayley-Hamilton 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
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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.

  • Symbols:
  • +

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 423 Applied Regression 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year

Complementary Courses

18 or 21 credits

0-3 credits from:

• MATH 203 Principles of Statistics 1 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Examples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).

  Offered by: Mathematics and Statistics

  • 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. Students should consult http://www.mcgill.ca/students/transfercredit for information regarding transfer credits for this course.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year

At least 6 credits selected from:

* Students can take either MATH 317 or COMP 350, but not both.

• COMP 250 Intro to Computer Science 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Computer Science

  • 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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• COMP 350 Numerical Computing 3 Credits*

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Computer Science

  • 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.

  • Symbols:
  • *

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • Winter
  • Prerequisite: MATH 242 or MATH 254.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • Prerequisites: MATH 133, MATH 222
  • Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • Prerequisite: MATH 222.
  • Corequisite: MATH 133.
  • Restriction: Not open to students who have taken or are taking MATH 325.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 316 Complex Variables 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Algebra of complex numbers, Cauchy-Riemann 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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • 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
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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, Poincare-Bendixson 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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 327 Matrix Numerical Analysis 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 329 Theory of Interest 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

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

  Offered by: Mathematics and Statistics

  • Winter
  • Prerequisite: MATH 141

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 340 Discrete Mathematics 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 350 Honours Discrete Mathematics 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • 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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 378 Nonlinear Optimization 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Optimization terminology. Convexity. First- and second-order optimality conditions for unconstrained problems. Numerical methods for unconstrained optimization: Gradient methods, Newton-type methods, conjugate gradient methods, trust-region methods. Least squares problems (linear + nonlinear). Optimality conditions for smooth constrained optimization problems (KKT theory). Lagrangian duality. Augmented Lagrangian methods. Active-set method for quadratic programming. SQP methods.

  Offered by: Mathematics and Statistics

  • Prerequisites: MATH 223 or MATH 247 or MATH 236 or MATH 251. MATH 248 or MATH 314 or MATH 358. MATH 243 or MATH 255.
  • Not open to students who have taken MATH 560.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 417 Linear Optimization 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 430 Mathematical Finance 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 463 Convex Optimization 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Introduction to convex analysis and convex optimization: Convex sets and functions, subdifferential calculus, conjugate functions, Fenchel duality, proximal calculus. Subgradient methods, proximal-based methods. Conditional gradient method, ADMM. Applications including data classification, network-flow problems, image processing, convex feasibility problems, DC optimization, sparse optimization, and compressed sensing.

  Offered by: Mathematics and Statistics

  • Prerequisites: MATH 223 or MATH 247 or MATH 236 or MATH 251. MATH 248 or MATH 314 or MATH 358. MATH 243 or MATH 255. COMP 202 or COMP 204 or COMP 208 or equivalent.
  • Restriction: Not open to students who have taken or are taking MATH 563.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year

At least 9 credits selected from:

*Students can take either MATH 410 or MATH 420, but not both.

• COMP 551 Applied Machine Learning 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Computer Science

  • 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. Not open to students who have taken or are taking ECSE 551.
  • Some background in Artificial Intelligence is recommended, e.g. COMP-424 or ECSE-526, but not required.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 208 Intro to Statistical Computing 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Basic data management. Data visualization. Exploratory data analysis and descriptive statistics. Writing functions. Simulation and parallel computing. Communication data and documenting code for reproducible research.

  Offered by: Mathematics and Statistics

  • Prerequisite(s): MATH 133

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 308 Fundls of Statistical Learning 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Theory and application of various techniques for the exploration and analysis of multivariate data: principal component analysis, correspondence analysis, and other visualization and dimensionality reduction techniques; supervised and unsupervised learning; linear discriminant analysis, and clustering techniques. Data applications using appropriate software.

  Offered by: Mathematics and Statistics

  • Prerequisite(s): MATH 208, one of MATH 223, MATH 236, MATH 247, MATH 251; MATH 323 or MATH 356.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 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:
  • *

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 420 Independent Study 3 Credits*

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • Fall and Winter and Summer
  • Requires approval by the chair before registration
  • Please see regulations concerning Project Courses under Faculty Degree Requirements

  • Symbols:
  • *

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 427 Statistical Quality Control 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 523 Generalized Linear Models 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 524 Nonparametric Statistics 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • Fall
  • Prerequisite: MATH 324 or equivalent
  • Restriction: Not open to students who have taken MATH 424

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• 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

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 540 Life Actuarial Mathematics 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • Prerequisites: MATH 323 or equivalent and MATH 329

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 541 Nonlife Actuarial Models 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • Prerequisites: MATH 323 and MATH 324 or equivalent

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 545 Intro to Time Series Analysis 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • Prerequisite: MATH 324 or MATH 357 or equivalent

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 556 Mathematical Statistics 1 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  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.

  Offered by: Mathematics and Statistics

  • Fall
  • Prerequisite: MATH 357 or equivalent

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 557 Mathematical Statistics 2 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

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

  Offered by: Mathematics and Statistics

  • Winter
  • Prerequisite: MATH 556

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 558 Design of Experiments 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Introduction to concepts in statistically designed experiments. Randomization and replication. Completely randomized designs. Simple linear model and analysis of variance. Introduction to blocking. Orthogonal block designs. Models and analysis for block designs. Factorial designs and their analysis. Row-column designs. Latin squares. Model and analysis for fixed row and column effects. Split-plot designs, model and analysis. Relations and operations on factors. Orthogonal factors. Orthogonal decomposition. Orthogonal plot structures. Hasse diagrams. Applications to real data and ethical issues.

  Offered by: Mathematics and Statistics

  • Prerequisites: MATH 223, MATH 236, MATH 247, MATH 251, or equivalent. MATH 208 or equivalent. MATH 324, MATH 357, or equivalent.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 559 Bayesian Theory and Methods 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Mathematics & Statistics (Sci): Subjective probability, Bayesian statistical inference and decision making, de Finetti’s representation. Bayesian parametric methods, optimal decisions, conjugate models, methods of prior specification and elicitation, approximation methods. Hierarchical models. Computational approaches to inference, Markov chain Monte Carlo methods, Metropolis—Hastings. Nonparametric Bayesian inference.

  Offered by: Mathematics and Statistics

  • Prerequisite: MATH 324, MATH 357, MATH 557, or equivalent, and MATH 208 or equivalent.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• MATH 598 Topics in Probability & Stats 4 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

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

  Offered by: Mathematics and Statistics

  • 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.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year
• WCOM 314 Communicating Science 3 Credits

  Offered in the:
  • Fall
  • Winter
  • Summer

  
  

  Written and Oral Communication: 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.

  Offered by: McGill Writing Centre

  • Restriction: Not open to students who have taken CCOM 314.

  • Terms
    • This course is not scheduled for the 2023-2024 academic year
  • Instructors
    • There are no professors associated with this course for the 2023-2024 academic year