Honours Applied Mathematics (B. Sc.)

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

    Offered by:Mathematics and Statistics
    Degree:Bachelor of Science

Program Requirement:

The B.Sc.; Honours in Applied Mathematics provides an in-depth training, at the honours level, in “discrete” or “continuous” applied mathematics. It gives the foundations and necessary tools to explore some areas such as numerical analysis, continuous and discrete optimization, graph theory, discrete probability. The program also provides the background required to pursue interdisciplinary research at the interface between mathematics and other fields such as biology, physiology, and the biomedical sciences. This program may be completed with a minimum of 60 credits or a maximum of 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.



    Program Prerequisites

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


    • MATH 133 Linear Algebra and Geometry 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 150 Calculus A 4 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 151 Calculus B 4 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

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

    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: COMP 202—or an equivalent introduction to computer programming course—is a program prerequisite. U0 students may take COMP 202 as a Freshman Science course; new U1 students should take it as an elective in their first semester.

    Students who transfer to Honours in Applied 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.


    Required Courses

    (36-39 credits)

    * Students with limited programming experience should take COMP 202 or COMP 204 or 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.


    • COMP 250 Intro to Computer Science 3 Credits*
        Offered in the:
      • Fall
      • Winter
      • Summer

    • COMP 252 Honours Algorithms&Data Struct 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 222 Calculus 3 3 Credits***
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 247 Honours Applied Linear Algebra 3 Credits**
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 251 Honours Algebra 2 3 Credits**
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 255 Honours Analysis 2 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 325 Honours ODE's 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 350 Honours Discrete Mathematics 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 356 Honours Probability 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 357 Honours Statistics 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 358 Honours Advanced Calculus 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 376 Honours Nonlinear Dynamics 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 470 Honours Research Project 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 475 Honours PDE's 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer


    Complementary Courses (24 credits)

    3 credits selected from:


    • MATH 242 Analysis 1 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 254 Honours Analysis 1 3 Credits+
        Offered in the:
      • Fall
      • Winter
      • Summer


    3 credits from:


    • MATH 235 Algebra 1 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 245 Honours Algebra 1 3 Credits+
        Offered in the:
      • Fall
      • Winter
      • Summer

    + It is strongly recommended that students take both MATH 245 and MATH 254. Advising Notes: Students interested in continuous applied mathematics are urged to choose these as part of their Complementary Courses: MATH 454, MATH 455 and MATH 478, and are advised to choose additional courses from MATH 387, MATH 397, MATH 555, MATH 574, MATH 578, MATH 579, MATH 580, MATH 581. Students interested in discrete applied mathematics are advised to choose from these as part of their Complementary Courses: COMP 362, COMP 490, MATH 456, MATH 457, MATH 517, MATH 547, MATH 550, MATH 552.


    3 credits selected from:


    • MATH 249 Honours Complex Variables 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 466 Honours Complex Analysis 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer


    3 credits selected from:


    • MATH 387 Honours Numerical Analysis 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 397 Hons Matrix Numerical Analysis 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer


    0-6 credits from the following courses for which no Honours equivalent exists.


    • MATH 204 Principles of Statistics 2 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 208 Intro to Statistical Computing 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 308 Fundls of Statistical Learning 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 329 Theory of Interest 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 338 History & Philosophy of Math 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 430 Mathematical Finance 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 451 Intro. to General Topology 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 462 Hon. Math for Machine Learning 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 478 Comput. Meth. in Applied Math 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer


    0-12 credits selected from:


    • COMP 362 Honours Algorithm Design 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 352 Problem Seminar 1 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 365 Hons Groups,Tilings&Algorithms 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 377 Honours Number Theory 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 398 Honours Euclidean Geometry 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 454 Honours Analysis 3 3 Credits++
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 455 Honours Analysis 4 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 456 Honours Algebra 3 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 457 Honours Algebra 4 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 458 Honours Differential Geometry 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 462 Hon. Math for Machine Learning 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 480 Honours Independent Study 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    • MATH 488 Honours Set Theory 3 Credits
        Offered in the:
      • Fall
      • Winter
      • Summer

    ++ Not open to students who have taken MATH 354.

    All MATH 500-level courses.

    Other courses with the permission of the Department.


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