²ÝÝ®ÎÛÊÓƵµ¼º½ : 4.5.2 Programs in Mathematics

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4.5.1 Recommended First and Second Year Sequence
4.5.2 Programs in Mathematics
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 ²ÝÝ®ÎÛÊÓƵµ¼º½ Calendar 2018-2019 Faculty of Science 4. Program Details 4.5 Mathematics and Statistics 4.5.2 Programs in Mathematics
4.5.2 Programs in Mathematics
Courses constituting the field of Mathematics
 
Required Courses - Major Program

See also Section 3 (Faculty Regulations), Subsections 3.4A (Program Requirements - Major Programs) and 3.5B (Course Selection - Introductory Courses).

6 units (1.0 full-course equivalent) - Mathematics 211 or 213; Mathematics 311 or 313

6 units (1.0 full-course equivalent) - Mathematics 249 or 265 or 275; Mathematics 267 or 277

6 units (1.0 full-course equivalent) - Two courses selected from:

  1. Statistics 205
  2. Statistics 321
  3. Either Mathematics 271 or 273*

18 units (3.0 full-course equivalents) - Options from the Field of Mathematics

3 units (0.5 full-course equivalent) - Computer Science 231 or 217 or 235 or Data Science 211

6 units (1.0 full-course equivalent) - Any courses in the Field of Mathematics at the 400 level or above

3 units (0.5 full-course equivalent) - Mathematics 516 or 518 or Statistics 517

18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.

54 units (9.0 full-course equivalents) - Options

*Mathematics 271 and 273 are prerequisites to many Mathematics courses, Statistics 321 is a prerequisite to many Statistics courses.

Note: Course level is not an indicator of the student's year in the program.
 
Required Courses - Honours Program

In addition to the requirements specified by the Faculty of Science (see Section 3), students are required to complete the following program of study:

6 units (1.0 full-course equivalent) - Mathematics 211 or 213*; Mathematics 311 or 313*

6 units (1.0 full-course equivalent) - Mathematics 249 or 265; Mathematics 267

6 units (1.0 full-course equivalent) - Two courses selected from:

  1. Statistics 205
  2. Statistics 321
  3. Either Mathematics 271 or 273*

18 units (3.0 full-course equivalents) - Any courses in the Field of Mathematics

6 units (1.0 full-course equivalent) - Any courses in the Field of Mathematics at the 400 level or above

3 units (0.5 full-course equivalent) - A course in the Field of Mathematics at the 500 level or above excluding Mathematics 516, 518 and Statistics 517

3 units (0.5 full-course equivalent) - Mathematics 518 (with a grade of "B" or higher)

3 units (0.5 full-course equivalent) - Computer Science 231 or 217 or 235 or Data Science 211

18 units (3.0 full-course equivalents) - Breadth Requirement: Options from Faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other Faculties.

51 units (8.5 full-course equivalents) - Options

*These courses are recommended for students in the Honours Mathematics program.

Note: A grade of "B" or higher in Mathematics 518 is required for the Honours program. Students who do not achieve a grade of "B" or higher in Mathematics 518 may still graduate from the regular BSc in Mathematics. Whenever applicable and feasible, students in the Honours program should take the advanced version of any course in the field.
 
Suggested First and Second Year Honours in Mathematics*

First Year Courses

  1. Mathematics 249 or 265
  2. Mathematics 267
  3. Mathematics 213
  4. Computer Science 217 or 231 or 235 or Data Science 211
  5. Mathematics 273*
  6. Statistics 205* or option
  7. Arts option
  8. Arts option
  9. Option
  10. Non-science option

Second Year Courses

  1. Mathematics 367
  2. Mathematics 376
  3. Mathematics 355
  4. Mathematics 313
  5. Statistics 321* or option
  6. Option
  7. Option
  8. Option
  9. Non-science option
  10. Non-science option

*Any two of Statistics 205, 321 and either Mathematics 271 or 273.

Note: Students interested in a statistics focused plan of study should consult the section on the Concentration on Statistics below for alternative first and second year course selections.

 
Recommendations

Students should consult with the Undergraduate Director or the Undergraduate Science Centre (USC) on a regular basis throughout their program.

 
Concentrations

Students may choose to focus their program on one of three areas of interest by including a specified set of courses into their Major degree. Students must apply for concentrations via their Student Centre. Concentrations will appear on the transcript.

Students should carefully plan their course selections to ensure that prerequisites for upper-level courses are obtained. Consultation with the Undergraduate Director or the Undergraduate Science Centre (USC) on a regular basis is highly recommended.

A. Concentration in Statistics

Students must complete the same requirements as those in the Major program with some substitutions. For clarity, the requirements for the entire program are listed below.

  1. 6 units (1.0 full-course equivalent) - Mathematics 211 or 213; Mathematics 311 or 313
  2. 6 units (1.0 full-course equivalent) - Mathematics 249 or 265 or 275; Mathematics 267 or 277
  3. 3 units (0.5 full-course equivalent) - One of Statistics 205 and either Mathematics 271 or 273
  4. 6 units (1.0 full-course equivalent) - Statistics 321 and 323
  5. 21 units (3.5 full-course equivalents) - Courses in the Field of Mathematics

    1. 18 units (3.0 full-course equivalents) are required from the following list1: Statistics 421, 4232, 4252, 429, 431, 505, 507, 519, 523, 525, 531, 533, 541, 543 and Actuarial Science 511. Courses from list "f" that are also in the Field of Mathematics, may be applied towards list "e". Courses from list "f" that are not in the Field of Mathematics will apply towards Options.

  1. 3 units (0.5 full-course equivalent) - Statistics 517
  2. 3 units (0.5 full-course equivalent) - Computer Science 231 or 217 or 235 or Data Science 211
  3. 18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.
  4. 54 units (9 full-course equivalents) - Options

      1 It is recommended that students select one of Statistics 423 or 425, Statistics 429, and one of Statistics 431 or 505.

      2 Statistics 423 and 425 are not in the Field of Mathematics.

      Honours degree with a Concentration in Statistics

      Students wishing to complete an Honours degree in Mathematics with a Concentration in Statistics must have credit for both Mathematics 518 (with a grade of "B" or higher) and Statistics 517. The requirement of Mathematics 518 replaces 3 units (0.5 full-course equivalent) of Options.

      1. 6 units (1.0 full-course equivalent) - Mathematics 211 or 213; Mathematics 311 or 313
      2. 6 units (1.0 full-course equivalent) - Mathematics 249 or 265; Mathematics 267
      3. 3 units (0.5 full-course equivalent) - One of Statistics 205 and either Mathematics 271 or 273
      4. 6 units (1.0 full-course equivalent) - Statistics 321 and 323
      5. 21 units (3.5 full-course equivalents) - Courses in the Field of Mathematics

        1. 18 units (3.0 full-course equivalents) are required from the following list1: Statistics 421, 4232, 4252, 429, 431, 505, 507, 519, 523, 525, 531, 533, 541, 543 and Actuarial Science 511. Courses from list "f" that are also in the Field of Mathematics, may be applied towards list "e". Courses from list "f" that are not in the Field of Mathematics will apply towards Options.

        1. 3 units (0.5 full-course equivalent) - Statistics 517
        2. 3 units (0.5 full-course equivalent) - Mathematics 518 (with a grade of "B")
        3. 3 units (0.5 full-course equivalent) - Computer Science 231 or 217 or 235 or Data Science 211
        4. 18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.
        5. 51 units (8.5 full-course equivalents) - Options

        1 It is recommended that students select one of Statistics 423 or 425, Statistics 429, and one of Statistics 431 or 505.

        2 Statistics 423 and 425 are not in the Field of Mathematics.

        B. Concentration in Computational Applied Mathematics

        Students must complete the same requirements as those in the Major program with some substitutions. For clarity, the requirements for the entire program are listed below.

        1. 3 units (0.5 full-course equivalent) - Mathematics 211 or 213
        2. 6 units (1.0 full-course equivalent) - Mathematics 311 and 361 or 313 and an Option
        3. 6 units (1.0 full-course equivalent) - Mathematics 249 or 265 or 275; Mathematics 267 or 277
        4. 3 units (0.5 full-course equivalents) - Mathematics 271 or 273
        5. 6 units (1.0 full-course equivalent) - Statistics 321 and 323
        6. 9 units (1.5 full-course equivalents) - Mathematics 367, 376 and 413
        7. 3 units (0.5 full-course equivalents) - Mathematics 307
        8. 9 units (1.5 full-course equivalents) - Mathematics 325, 391 and 493
        9. 3 units (0.5 full-course equivalents) - Mathematics 335 or 355
        10. 3 units (0.5 full-course equivalents) - Computer Science 217 or 231 or Data Science 211
        11. 3 units (0.5 full-course equivalent) - Computer Science 219 or 233
        12. 3 units (0.5 full-course equivalent) - Computer Science 331
        13. 3 units (0.5 full-course equivalent) - Software Engineering 300
        14. 3 units (0.5 full-course equivalent) - Mathematics 516 or 518 or Statistics 517
        15. 18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.
        16. 39 units (6.5 full-course equivalents) - Options

        Honours degree with a Concentration in Computational Applied Mathematics

        Students wishing to complete an Honours degree in Mathematics with a Concentration in Computational Applied Mathematics must complete the above requirements. However, Mathematics 518 (with a grade of "B" or higher) is specifically required and 3 units (0.5 full-course equivalent) of Options is replaced by 3 units (0.5 full-course equivalent) in the field of Mathematics at the 500 level.

        1. 3 units (0.5 full-course equivalent) - Mathematics 211 or 213
        2. 6 units (1.0 full-course equivalent) - Mathematics 311 and 361 or 313 and an Option
        3. 6 units (1.0 full-course equivalent) - Mathematics 249 or 265 or 275; Mathematics 267 or 277
        4. 3 units (0.5 full-course equivalents) - Mathematics 271 or 273
        5. 6 units (1.0 full-course equivalent) - Statistics 321 and 323
        6. 9 units (1.5 full-course equivalents) - Mathematics 367, 376 and 413
        7. 3 units (0.5 full-course equivalents) - Mathematics 307
        8. 9 units (1.5 full-course equivalents) - Mathematics 325, 391 and 493
        9. 3 units (0.5 full-course equivalents) - Mathematics 335 or 355
        10. 3 units (0.5 full-course equivalents) - Computer Science 217 or 231 or Data Science 211
        11. 3 units (0.5 full-course equivalent) - Computer Science 219 or 233
        12. 3 units (0.5 full-course equivalent) - Computer Science 331
        13. 3 units (0.5 full-course equivalent) - Software Engineering 300
        14. 3 units (0.5 full-course equivalent) - Mathematics 518 (with a grade of "B")
        15. 3 units (0.5 full-course equivalent) - From the Field of Mathematics at the 500 level.
        16. 18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.
        17. 36 units (6.0 full-course equivalents) - Options

        C. Concentration in Mathematical Finance and Risk Management

        Students must complete the same requirements as those in the Major program with some substitutions. For clarity, the requirements for the entire program are listed below.

        1. 3 units (0.5 full-course equivalent) - Mathematics 211 or 213
        2. 6 units (1.0 full-course equivalent) - Mathematics 311 and 361; or 313 and an Option
        3. 6 units (1.0 full-course equivalent) - Mathematics 249 or 265 or 275; Mathematics 267 or 277
        4. 3 units (0.5 full-course equivalents) - Mathematics 271 or 273
        5. 9 units (1.5 full-course equivalent) - Statistics 321, 323, 507
        6. 9 units (1.5 full-course equivalents) - Mathematics 367, 376 and 413
        7. 3 units (0.5 full-course equivalents) - Mathematics 307
        8. 3 units (0.5 full-course equivalents) - Mathematics 335 or 355
        9. 15 units (2.5 full-course equivalents) - Mathematics 383, 391, 493, 581 and 583
        10. 3 units (0.5 full-course equivalents) - Computer Science 217 or 231 or Data Science 211
        11. 3 units (0.5 full-course equivalent) - Computer Science 219 or 233
        12. 3 units (0.5 full-course equivalent) - Mathematics 516 or 518 or Statistics 517
        13. 18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.
        14. 36 units (6.0 full-course equivalents) - Options

        Honours degree with a Concentration in Mathematical Finance and Risk Management

        Students wishing to complete an Honours degree in Mathematics with a Concentration in Mathematical Finance and Risk Management must complete the above requirements. However, Mathematics 518 (with a grade of "B" or higher) is specifically required.

        1. 3 units (0.5 full-course equivalent) - Mathematics 211 or 213
        2. 6 units (1.0 full-course equivalent) - Mathematics 311 and 361; or 313 and an Option
        3. 6 units (1.0 full-course equivalent) - Mathematics 249 or 265 or 275; Mathematics 267 or 277
        4. 3 units (0.5 full-course equivalents) - Mathematics 271 or 273
        5. 9 units (1.5 full-course equivalent) - Statistics 321, 323, 507
        6. 9 units (1.5 full-course equivalents) - Mathematics 367, 376 and 413
        7. 3 units (0.5 full-course equivalents) - Mathematics 307
        8. 3 units (0.5 full-course equivalents) - Mathematics 335 or 355
        9. 15 units (2.5 full-course equivalents) - Mathematics 383, 391, 493, 581 and 583
        10. 3 units (0.5 full-course equivalents) - Computer Science 217 or 231 or Data Science 211
        11. 3 units (0.5 full-course equivalent) - Computer Science 219 or 233
        12. 3 units (0.5 full-course equivalent) - Mathematics 518 (with a grade of "B")
        13. 18 units (3.0 full-course equivalents) - Breadth Requirement: Options from faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 18 units (3.0 full-course equivalents), at least 6 units (1.0 full-course equivalent) must be from the Faculty of Arts. Science 311 may be counted among the 18 units (3.0 full-course equivalents) from other faculties.
        14. 36 units (6.0 full-course equivalents) - Options
               
              Recommendations

              Students should consult with the Undergraduate Director or the Undergraduate Science Centre (USC) on a regular basis throughout their program.

               
              Required Courses - Minor Program

              30 units (5.0 full-course equivalents) from the Field of Mathematics with at least 18 units (3.0 full-course equivalents) at the 300-level or higher.