Faculty of Science 5. Program Details 5.5 Mathematics and Statistics 5.5.3 Programs in Pure Mathematics5.5.3 Programs in Pure Mathematics
Courses constituting the field of Pure Mathematics
|
||||||||||||||||||||||||
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 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, 425, 427, 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. |
||||||||||||||||||||||||
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 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 545* 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, 425, 429, 471, 501, 505, 511, Applied Mathematics 411, 505, 507, 509 with 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 *No 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. |
||||||||||||||||||||||||
Suggested Program Sequence Honours in Pure Mathematics
|
||||||||||||||||||||||||
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. |
||||||||||||||||||||||||
Required Courses - Minor Program
30 units (5.0 full-course equivalents) - Selected from the field of Pure Mathematics. The selection might include:
|