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Mathematics and Statistics

Mathematics and Statistics

Location

Location

  • Department of Mathematics and Statistics
  • Burnside Hall, Room 1005
  • 805 Sherbrooke Street West
  • Montreal QC H3A 0B9
  • Telephone: 514-398-3800
  • Website: mcgill.ca/mathstat

About Mathematics and Statistics

About Mathematics and Statistics

The Department of Mathematics and Statistics offers programs in both Arts and Science. For a list of teaching staff and an outline of the nature of the discipline, refer to Faculty of Science > Undergraduate > Browse Academic Units & Programs > Mathematics and Statistics (MATH).

A Desautels Faculty of Management B.Com. degree with a Major Concentration in Mathematics is also available.

Students entering a Mathematics program are normally expected to have completed MATH 133; MATH 139 or MATH 140; MATH 141; or their equivalents. Otherwise, they will be required to make up any deficiencies in these courses over and above the program credits.

The following programs are specifically for Arts students:

  • Minor Concentration Mathematics
  • Supplementary Minor Concentration Mathematics
  • Major Concentration Statistics
  • Minor Concentration Statistics
  • Supplementary Minor Concentration Statistics
  • Major Concentration Mathematics
  • Joint Honours Component Mathematics

The following programs may be taken by students in either Arts or Science:

  • Honours in Applied Mathematics
  • Honours in Mathematics
  • Honours in Probability and Statistics
  • Joint Honours in Mathematics and Computer Science

Students entering one of the Minor or Major Concentrations listed below who have successfully completed a course equivalent to MATH 222 (Calculus 3) prior to coming to ¿´Æ¬ÊÓƵ are given exemption from taking MATH 222, but must replace it with a Complementary Mathematics course in the program of at least 3 credits. For more information, consult an adviser.

Programs, Courses and University Regulations—2023-2024 (last updated Aug. 8, 2023) (disclaimer)

Bachelor of Arts (B.A.) - Minor Concentration Mathematics (18 credits)

The Minor Concentration Mathematics is offered in two versions: an expandable version, for students who wish to leave open the option of expanding the program into a Major Concentration Mathematics, and a non-expandable version for students who know on entry into the Minor that they do not wish to expand it into a major concentration. ...

For more information, see Minor Concentration Mathematics (18 credits).

Bachelor of Arts (B.A.) - Supplementary Minor Concentration in Mathematics (18 credits)

This Minor concentration is open only to students registered in the Major Concentration Mathematics. Taken together, these two concentrations constitute a program equivalent to the Major in Mathematics offered by the Faculty of Science. ...

For more information, see Supplementary Minor Concentration in Mathematics (18 credits).

Bachelor of Arts (B.A.) - Minor Concentration Statistics (18 credits)

The Minor Concentration Statistics is offered only in a non-expandable version, that is, one that cannot be expanded into the Major Concentration Mathematics. ...

For more information, see Minor Concentration Statistics (18 credits).

Bachelor of Arts (B.A.) - Supplementary Minor Concentration Statistics (18 credits)

Students may complete this program with a minimum of 18 credits or a maximum of 20 credits. ...

For more information, see Supplementary Minor Concentration Statistics (18 credits).

Bachelor of Arts (B.A.) - Major Concentration Statistics (36 credits)

The program provides training in statistics with a mathematical core. Taken together with the B.A.; Supplementary Minor Concentration in Statistics, these two programs constitute an equivalent of the B.Sc.; Major in Statistics program offered by the Faculty of Science. With satisfactory performance in an appropriate selection of courses, these two programs can lead...

For more information, see Major Concentration Statistics (36 credits).

Bachelor of Arts (B.A.) - Major Concentration Mathematics (36 credits)

Students who have done well in MATH 242 and MATH 235 at the end of their first term should consider, in consultation with their adviser and the instructors of the courses involved, the possibility of entering into an Honours program in Mathematics, in Applied Mathematics, in Probability and Statistics, or a Joint Honours program in Mathematics and another...

For more information, see Major Concentration Mathematics (36 credits).

Bachelor of Arts (B.A.) - Joint Honours Component Mathematics (36 credits)

Students who wish to study at the Honours level in two Arts disciplines may apply to combine Joint Honours program components from two Arts disciplines. For a list of available Joint Honours programs, see "Overview of Programs Offered" and "Joint Honours Programs". ...

For more information, see Joint Honours Component Mathematics (36 credits).

Bachelor of Science (B.Sc.) - Honours Applied Mathematics (63 credits)

Applied Mathematics is a very broad field and students are encouraged to choose a coherent program of complementary courses. Most students specialize in "continuous" or "discrete" applied mathematics, but there are many sensible combinations of courses, and the following informal guidelines should be discussed with the student's adviser. Also, aside from seeking to...

For more information, see Honours Applied Mathematics (63 credits).

Bachelor of Science (B.Sc.) - Honours Mathematics (63 credits)

Students may complete this program with a minimum of 60 credits or a maximum of 63 credits depending if they are exempt from MATH 222.

For more information, see Honours Mathematics (63 credits).

Bachelor of Science (B.Sc.) - Honours Probability and Statistics (60-63) (63 credits)

The B.Sc.; Honours in Probability and Statistics provides training, at the honours level, in probability and statistics, with a solid mathematical core, and basic training in computing. With a suitable selection of complementary courses, the program can focus on probability, mathematical statistics, applied statistics, actuarial science and finance, or data science. With satisfactory performance in an appropriate selection of courses, this program can lead to the professional accreditation A.Stat from the Statistical Society of Canada, which is regarded as the entry level requirement for a Statistician practicing in Canada.

Program Requirements (60-63) (63 credits)

Students may complete this program with a minimum of 60 credits or a maximum of 63 credits depending on whether or not they are required to take MATH 222.

Program Prerequisites

The minimum requirement for entry into the Honours program is that the student has completed with high standing the following courses or their equivalents:

MATH 133 (3) Linear Algebra and Geometry
MATH 150 (4) Calculus A
MATH 151 (4) Calculus B

In particular, MATH 150/MATH 151 and MATH 140/MATH 141/MATH 222 are considered equivalent.

Required Courses (28-31 credits)

* Students with limited programming experience should take COMP 202/COMP 204/COMP 208 or equivalent before COMP 250.

** Students select either MATH 251 or MATH 247, but not both.

*** Students who have successfully completed MATH 150/MATH 151 or an equivalent of MATH 222 on entering the program are not required to take MATH 222.

Students who have not completed an equivalent of MATH 222 on entering the program must consult an academic adviser and take MATH 222 as a required course in the first semester, increasing the total number of program credits from 60 to 63. Students who have successfully completed MATH 150/MATH 151 are not required to take MATH 222.

Note: Students with limited knowledge of computer programming should take COMP 202/COMP 204/COMP 208 or equivalent before COMP 250. U0 students may take COMP 202 as a Freshman Science course; new U1 students should take one of these courses as an elective in their first semester.

Note: Students who wish to take MATH 204 as a complementary course are strongly advised to take MATH 203 beforehand, in their first semester or their first year.

Students who transfer to Honours in Mathematics from other programs will have credits for previous courses assigned, as appropriate, by the Department.

To be awarded the Honours degree, the student must have, at time of graduation, a CGPA of at least 3.00 in the required and complementary Mathematics courses of the program, as well as an overall CGPA of at least 3.00.

COMP 250* (3) Introduction to Computer Science
MATH 208 (3) Introduction to Statistical Computing
MATH 222*** (3) Calculus 3
MATH 235 (3) Algebra 1
MATH 247** (3) Honours Applied Linear Algebra
MATH 251** (3) Honours Algebra 2
MATH 255 (3) Honours Analysis 2
MATH 356 (3) Honours Probability
MATH 357 (3) Honours Statistics
MATH 470 (3) Honours Research Project
MATH 533 (4) Regression and Analysis of Variance

Complementary Courses (32 credits)

Advising notes:

- Students wishing to pursue mathematical statistics in graduate school are advised to take MATH 587 and recommended to take honours mathematics courses as complementary courses in Part II, in particular MATH 358, MATH 454 (preferably prior to MATH 587), and MATH 455.

- Students wishing to pursue applied statistics and/or careers as statisticians in industry or government are advised to take MATH 523, MATH 524, MATH 547, at least one of MATH 525 and MATH 558, and as many courses as possible from Part III of the list of Complementary Courses below. Students interested in obtaining the A-Stat accreditation from the Statistical Society of Canada should discuss their course selection with the academic adviser.

-Students with interest in probability are advised to choose from the following as part of their Complementary Courses: MATH 547, MATH 587, MATH 589.

- Students with interest in actuarial science are advised to choose from the following as part of their Complementary Courses: MATH 329, MATH 430, MATH 524, MATH 545, MATH 547.

- Students with interest in data science and machine learning are advised to choose from the following as part of their Complementary Courses: COMP 206, COMP 251, COMP 370, COMP 424, COMP 551, MATH 308, MATH 350, MATH 378, MATH 462 and MATH 517,MATH 562, and MATH 563.

Part I: 3 credits selected from:

* It is strongly recommended that students take MATH 254.

MATH 242 (3) Analysis 1
MATH 254* (3) Honours Analysis 1

Part II: 6-11 credits in mathematics and computer science selected from:

+ Students can select either MATH 248 or MATH 358, but not both.

++ Students may obtain credit for both MATH 455 and MATH 587.

COMP 206 (3) Introduction to Software Systems
COMP 252 (3) Honours Algorithms and Data Structures
MATH 248+ (3) Honours Vector Calculus
MATH 325 (3) Honours Ordinary Differential Equations
MATH 350 (3) Honours Discrete Mathematics
MATH 352 (1) Problem Seminar
MATH 358+ (3) Honours Advanced Calculus
MATH 376 (3) Honours Nonlinear Dynamics
MATH 387 (3) Honours Numerical Analysis
MATH 397 (3) Honours Matrix Numerical Analysis
MATH 398 (3) Honours Euclidean Geometry
MATH 454 (3) Honours Analysis 3
MATH 455++ (3) Honours Analysis 4
MATH 458 (3) Honours Differential Geometry
MATH 466 (3) Honours Complex Analysis
MATH 475 (3) Honours Partial Differential Equations
MATH 478 (3) Computational Methods in Applied Mathematics
MATH 480 (3) Honours Independent Study
MATH 527D1 (3) Statistical Data Science Practicum
MATH 527D2 (3) Statistical Data Science Practicum

and any 500-level course offered by the Department of Mathematics and Statistics not listed in Part III below.

Part III: 18-23 credits in probability and statistics selected as follows:

15-23 credits selected from:

+++ Students must take MATH 204 before taking MATH 357 or MATH 533. Moreover, it is strongly advised to take MATH 203 before taking MATH 204.

MATH 204+++ (3) Principles of Statistics 2
MATH 308 (3) Fundamentals of Statistical Learning
MATH 523 (4) Generalized Linear Models
MATH 524 (4) Nonparametric Statistics
MATH 525 (4) Sampling Theory and Applications
MATH 545 (4) Introduction to Time Series Analysis
MATH 547 (4) Stochastic Processes
MATH 556 (4) Mathematical Statistics 1
MATH 557 (4) Mathematical Statistics 2
MATH 558 (4) Design of Experiments
MATH 559 (4) Bayesian Theory and Methods
MATH 587 (4) Advanced Probability Theory 1
MATH 589 (4) Advanced Probability Theory 2

0-3 credits from the following courses for which no Honours equivalent exists:

MATH 329 (3) Theory of Interest
MATH 378 (3) Nonlinear Optimization
MATH 427 (3) Statistical Quality Control

0-8 credits selected from:

+++ Students may select either MATH 594 or MATH 598 but not both.

COMP 370 (3) Introduction to Data Science
COMP 424 (3) Artificial Intelligence
COMP 451 (3) Fundamentals of Machine Learning
COMP 551 (4) Applied Machine Learning
COMP 579 (4) Reinforcement Learning
COMP 588 (4) Probabilistic Graphical Models
MATH 430 (3) Mathematical Finance
MATH 462 (3) Honours Mathematics for Machine Learning
MATH 562 (4) Theory of Machine Learning
MATH 594+++ (4) Topics in Mathematics and Statistics
MATH 598+++ (4) Topics in Probability and Statistics
Programs, Courses and University Regulations—2023-2024 (last updated Aug. 30, 2023) (disclaimer)

Bachelor of Science (B.Sc.) - Honours Mathematics and Computer Science (78 credits)

Students may complete this program with a minimum of 72 credits or a maximum of 78 credits depending if they are exempt from COMP 202, COMP 204, COMP 208 and/or MATH 222.

For more information, see Honours Mathematics and Computer Science (78 credits).

Faculty of Arts—2023-2024 (last updated Aug. 8, 2023) (disclaimer)
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