Faculty of Science 4. Program Details 4.5 Mathematics and Statistics 4.5.3 Programs in Pure Mathematics4.5.3 Programs in Pure Mathematics
Courses constituting the field of Pure Mathematics
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Required Courses - Major Program
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 Pure Mathematics at the 300 level or higher 3 units (0.5 full-course equivalent) - Mathematics 271 or 273 3 units (0.5 full-course equivalent) - Pure Mathematics 315 or 317 3 units (0.5 full-course equivalent) - Computer Science 217 or 231 or 235 3 units (0.5 full-course equivalent) - Applied Mathematics 311 3 units (0.5 full-course equivalent) - Statistics 323 or Computer Science 233 or Physics 211 or 221 3 units (0.5 full-course equivalent) - Mathematics 411 3 units (0.5 full-course equivalent) - Pure Mathematics 431 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 421 or 423 or Pure Mathematics 421 or 521 3 units (0.5 full-course equivalent) - Pure Mathematics 415, 418, 423,Ìý427, or 471 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. 48 units (8.0 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
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 213 and 313 and Mathematics 321 or Statistics 321 9 units (1.5 full-course equivalents) - Mathematics 249 or 265, 267, 367 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 3 units (0.5 full-course equivalent) - Pure Mathematics 431 3 units (0.5 full-course equivalent) - Mathematics 355 or Pure Mathematics 455 3 units (0.5 full-course equivalent) - Mathematics 545 or Pure Mathematics 5451 3 units (0.5 full-course equivalent) - Mathematics 423 or Pure Mathematics 421 or 521 3 units (0.5 full-course equivalent) – Mathematics 447 9 units (1.5 full-course equivalents) - Three of: Pure Mathematics 415, 418,Ìý429, 471, 501,Ìý511, Applied Mathematics 411, 505,Ìýwith at least 3 units (0.5 full-course equivalent) from the 500 level or above 6 units (1.0 full-course equivalent) - Two from the list: Applied Mathematics 311 or Statistics 323, Computer Science 233, 313, 331, Physics 211 or 221 or 227, 223, Philosophy 279 or 377 15 units (2.5 full-course equivalents) - Selected from the major field 6 units (1.0 full-course equivalent) - Selected from any course labelled Applied Mathematics, Mathematics, Pure Mathematics or Statistics at the 300 level or above 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. 24 units (4.0 full-course equivalents) - Options 1No substitutions will be allowed for Mathematics 545/Pure Mathematics 545. 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 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 Program Sequence Honours in Pure Mathematics
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Recommendations
It is highly recommended that students take Philosophy 279 or 377 to complement Mathematics 271. Students should consult with the Undergraduate Director on a regular basis throughout their program. It is recommended that students include an international component in their program. Consult the Undergraduate Director for details. |
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Required Courses - Minor Program
30 units (5.0 full-course equivalents) - Selected from the field of Pure Mathematics. The selection might include:
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