Honours Probability and Statistics (B. Sc.)

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

    Offered by:Mathematics and Statistics
    Degree:Bachelor of Science

Program Requirement:

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

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

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

      • MATH 235 Algebra 1 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 356 Honours Probability 3 Credits
          Offered in the:
        • Fall
        • Winter
        • Summer

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

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

      • MATH 533 Regression and ANOVA 4 Credits
          Offered in the:
        • Fall
        • Winter
        • Summer


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

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


        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 Intro to Software Systems 3 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

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

        • MATH 248 Honours Vector Calculus 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 352 Problem Seminar 1 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 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

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

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

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

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

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

        • MATH 527D1 Stat. Data Science Practicum 3 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 527D2 Stat. Data Science Practicum 3 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

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

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

        • MATH 523 Generalized Linear Models 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 524 Nonparametric Statistics 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 525 Sampling Theory & Applications 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 545 Intro to Time Series Analysis 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 547 Stochastic Processes 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 556 Mathematical Statistics 1 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 557 Mathematical Statistics 2 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 558 Design of Experiments 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 559 Bayesian Theory and Methods 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 587 Advanced Probability Theory 1 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer

        • MATH 589 Advanced Probability Theory 2 4 Credits
            Offered in the:
          • Fall
          • Winter
          • Summer




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


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

          • MATH 378 Nonlinear Optimization 3 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • MATH 427 Statistical Quality Control 3 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer


          0-8 credits selected from:

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


          • COMP 370 Introduction to Data Science 3 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • COMP 424 Artificial Intelligence 3 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • COMP 451 Fundls of Machine Learning 3 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • COMP 551 Applied Machine Learning 4 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • COMP 579 Reinforcement Learning 4 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • COMP 588 Probabilistic Graphical Models 4 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

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

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

          • MATH 562 Theory of Machine Learning 4 Credits
              Offered in the:
            • Fall
            • Winter
            • Summer

          • MATH 594 Topics in Mathematics&Stats 4 Credits+++
              Offered in the:
            • Fall
            • Winter
            • Summer

          • MATH 598 Topics in Probability & Stats 4 Credits+++
              Offered in the:
            • Fall
            • Winter
            • Summer


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