Faculty of Science 5. Program Details 5.5 Mathematics and Statistics 5.5.2 Programs in Applied Mathematics 5.5.2 Programs in Applied Mathematics
Courses constituting the field of Applied Mathematics
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Required Courses - Major Program
Effective Fall 2014, Mathematics 265, 267, 367, Mathematics 275, 277, 375 and 377 replaced respectively Mathematics 251, 253, 353, Applied Mathematics 217, 219, 307 and 309 and serves as prerequisites for appropriate courses. In some special cases, Mathematics 267 will replace Mathematics 349 or 353. For these and other deviations from the general rule, see individual course entries for details. Mathematics 267 supplemented by Mathematics 177 will be accepted as equivalent to Mathematics 277. See also Section 3 (Faculty Regulations), Subsections 3.4A (Program Requirements - Major Programs) and 3.5B (Course Selection - Introductory Courses). 3 units (0.5 full-course equivalent) - Mathematics 211 or 213 3 units (0.5 full-course equivalent) - Mathematics 249 or 265 or 275 9 units (1.5 full-course equivalents) - Mathematics 267 or 277 and Mathematics 311 or 313 and Mathematics 321 or Statistics 321 6 units (1.0 full-course equivalent) - Mathematics 349 and 353; or Mathematics 367 or 381 and any course offered in the field of Applied Mathematics at the 300 level or higher 3 units (0.5 full-course equivalent) - Applied Mathematics 311 3 units (0.5 full-course equivalent) - Computer Science 231 or 217 or 235 3 units (0.5 full-course equivalent) - Pure Mathematics 315 or 317 or Statistics 323 6 units (1.0 full-course equivalent) - Two from the list: Physics 211 or 221 or 227, 223 or 255 Chemistry 201 or 211 and 203 or 213 Computer Science 233, 313, 331 6 units (1.0 full-course equivalent) - Applied Mathematics 413 and Mathematics 411 3 units (0.5 full-course equivalent) - One of Mathematics 335 or 355 or Pure Mathematics 435 or 455 3 units (0.5 full-course equivalent) - One of Mathematics 445 or 447 or 545 or Pure Mathematics 445 or 545 3 units (0.5 full-course equivalent) - Mathematics 421 or 521 or Pure Mathematics 421 or 521 3 units (0.5 full-course equivalent) - Applied Mathematics 491 3 units (0.5 full-course equivalent) - Applied Mathematics 411 or 425 or 493 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. 45 units (7.5 full-course equivalents) - Options Note: Mathematics 311 and 411 may be replaced by Mathematics 313 and a field course at the 300 level or higher, with permission. |
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Required Courses - Honours Program
Effective Fall 2014, Mathematics 265, 267, 367, Mathematics 275, 277, 375 and 377 replaced respectively Mathematics 251, 253, 353, Applied Mathematics 217, 219, 307 and 309 and serves as prerequisites for appropriate courses. In some special cases, Mathematics 267 will replace Mathematics 349 or 353. For these and other deviations from the general rule, see individual course entries for details. Mathematics 267 supplemented by Mathematics 177 will be accepted as equivalent to Mathematics 277. In addition to the requirements specified by the Faculty of Science (see Section 3), students are required to complete the following program of study: 3 units (0.5 full-course equivalent) - Mathematics 273 9 units (1.5 full-course equivalents) - Mathematics 249 or 265, 267, 367 3 units (0.5 full-course equivalent) - Mathematics 321 or Statistics 321 6 units (1.0 full-course equivalent) - Mathematics 211 or 213 and 311 or 313 3 units (0.5 full-course equivalent) - Pure Mathematics 315 or 317 or Statistics 323 3 units (0.5 full-course equivalent) - Pure Mathematics 431 or Applied Mathematics 481 or 483 3 units (0.5 full-course equivalent) - Mathematics 355 or Pure Mathematics 455 3 units (0.5 full-course equivalent) – Mathematics 447 3 units (0.5 full-course equivalent) - Mathematics 545 or Pure Mathematics 545* 3 units (0.5 full-course equivalent) - Mathematics 423 or 521 or Pure Mathematics 421 or 521 12 units (2.0 full-course equivalents) - Applied Mathematics 311, 411, 413, and 491 3 units (0.5 full-course equivalent) - Computer Science 217 or 231 or 235 6 units (1.0 full-course equivalent) - Any 500-level or above course in Applied Mathematics 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. 42 units (7.0 full-course equivalents) - Options *No substitutions will be allowed for Mathematics 545/Pure Mathematics 545. Note: Mathematics 213 and 313 are the preferred sequence for the honours program. Note: The following substitutions allow students to enter the honours program later in their studies: (a) The calculus sequence Mathematics 265, 267, 367 may be replaced by Mathematics 281, 283, 381 or an equivalent sequence with permission from the Department of Mathematics and Statistics; (b) Mathematics 273 may be replaced by a grade of "B+" or better in Mathematics 271 with permission; (c) Mathematics 213 may be replaced by a grade of "B+" or better in Mathematics 211 or 221 with permission; (d) Mathematics 355/Pure Mathematics 455 may be replaced by a grade of "B+" or better in Mathematics 335/Pure Mathematics 435 with permission. |
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Suggested First and Second Year Honours in Applied Mathematics
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Concentrations
Students may focus their program on one of two areas of interest by including a specified set of courses into their Major degree. Successful completion will mean that the area of concentration 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 on a regular basis is highly recommended. A. Concentration in Mathematical Finance and Risk Management The first 24 units (4.0 full-course equivalents) required in the Concentration, up to and including Applied Mathematics 311, are the same as in the Major program. The remaining 96 units (16.0 full-course equivalents) required in the Concentration are: 3 units (0.5 full-course equivalent) - Statistics 323 6 units (1.0 full-course equivalent) - Computer Science 231 and 233 or Computer Science 235 and Actuarial Science 325 3 units (0.5 full-course equivalent) - Mathematics 421 or 423 or Pure Mathematics 421 or 521 3 units (0.5 full-course equivalent) – Mathematics 335 or 355 or Pure Mathematics 435 or 455 3 units (0.5 full-course equivalent) – Mathematics 445 or 447 or 545 or Pure Mathematics 445 or 545 6 units (1.0 full-course equivalent) - Statistics 421 and 507 3 units (0.5 full-course equivalent) - Mathematics 411 18 units (3.0 full-course equivalents) - Applied Mathematics 413, 481, 491, 493, 581, and 583 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. 33 units (5.5 full-course equivalents) - Options B. Concentration in Computational Applied Mathematics The first 24 units (4.0 full-course equivalents) required in the Concentration, up to and including Applied Mathematics 311, are the same as in the Major program. The remaining 96 units (16.0 full-course equivalents) required in the Concentration are: 3 units (0.5 full-course equivalent) - Statistics 323 6 units (1.0 full-course equivalent) - Computer Science 231 and 233 or 235 and 3 units (0.5 full-course equivalent) senior-level Computer Science option or Applied Mathematics option 3 units (0.5 full-course equivalent) - Mathematics 271 or 273 3 units (0.5 full-course equivalent) - Computer Science 331 3 units (0.5 full-course equivalent) - Software Engineering 301 3 units (0.5 full-course equivalent) - Mathematics 421 or 423 or Pure Mathematics 421 or 521 3 units (0.5 full-course equivalent) – Mathematics 335 or 355 or Pure Mathematics 435 or 455 3 units (0.5 full-course equivalent) - Mathematics 445 or 447 or 545 or Pure Mathematics 445 or 545 3 units (0.5 full-course equivalent) - Mathematics 411 15 units (2.5 full-course equivalents) - Applied Mathematics 413, 425, 491, 493, and 503 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. 3 units (0.5 full-course equivalent) - choose one of Biology 241, Chemistry 201 or 203 or 211, Physics 211, 221 or 227 39 units (5.0 full-course equivalents) - Options |
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Required Courses - Minor Program
3 units (0.5 full-course equivalent) - Mathematics 211 or 213 3 units (0.5 full-course equivalent) - Mathematics 249 or 265 or 275 3 units (0.5 full-course equivalent) - Mathematics 267 or 277 3 units (0.5 full-course equivalent) - Mathematics 311 or 313 6 units (1.0 full-course equivalent) - Mathematics 349 and 353 or Applied Mathematics 309, or Mathematics 271 or 273 and 381, or Mathematics 271 or 273 and 367 3 units (0.5 full-course equivalent) - Applied Mathematics 307 or 311 or Mathematics 375 9 units (1.5 full-course equivalents) - From the list: Mathematics 321 or Statistics 321, Statistics 323 or any course labelled Applied Mathematics at the 400 level or above, except Applied Mathematics 433. |