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5.5.1 Recommended First and Second Year Sequence
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Áù¾ÅÉ«Ìà Calendar 2009-2010 Faculty of Science 5. Program Details 5.5 Mathematics and Statistics 5.5.3 Programs in Pure Mathematics
5.5.3 Programs in Pure Mathematics
Courses constituting the field of Pure Mathematics
Required Courses - Major Program

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

0.5 FCE - Mathematics 211 or 213 or 221

0.5 FCE - Mathematics 281 or 251 or 249 or Applied Mathematics 217

1.5 FCE - Mathematics 283 or 253, or Applied Mathematics 219, Mathematics 311 or 313, 321

1.0 FCE - Mathematics 349 and 353; or Mathematics 381 and any course offered in the field of Pure Mathematics

0.5 FCE - Mathematics 271 or 273

0.5 FCE - Pure Mathematics 315

0.5 FCE - Computer Science 231 or 217 or 235

0.5 FCE - Applied Mathematics 311

0.5 FCE - Mathematics 323 or Computer Science 233 or Physics 211 or 221

0.5 FCE - Mathematics 411

1.5 FCE - Pure Mathematics 431, 435 or 455; and 445 or 545

0.5 FCE - Pure Mathematics 421 or 521

0.5 FCE - Pure Mathematics 415 or 423 or 427

4.0 FCE - Breadth requirement: Non-science options from the Faculties of Communication and Culture, Humanities, Fine Arts and Social Sciences and the Haskayne School of Business (check Table I in 3.4 Program Requirements for ineligible courses). Of these 4.0 FCE, at least one FCE must be from each of at least two of the aforementioned Faculties. Science 311 may be counted among the four FCE from other faculties

7.0 FCE - 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

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

0.5 FCE - Mathematics 273

1.5 FCE - Mathematics 213 and 313 and 321

1.5 FCE - Mathematics 281 and 283 and 381

0.5 FCE - Computer Science 231 or 217 or 235

1.0 FCE - Pure Mathematics 315 and 431

1.0 FCE - Pure Mathematics 455 and 545

0.5 FCE - Pure Mathematics 421 or 521

1.5 FCE - Three of: Pure Mathematics 329, 371, 415, 429, 501, 505, 511, Applied Mathematics 411, 505, 507, 509 with at least 0.5 FCE from the 500 level or above

1.0 FCE - Two of:

3.0 FCE - Selected from the major field

1.0 FCE - Selected from any course labeled Applied Mathematics, Mathematics, Pure Mathematics or Statistics at the 300-level or above.

4.0 FCE - Breadth requirement: Non-science options from the Faculties of Communication and Culture, Humanities, Fine Arts and Social Sciences and the Haskayne School of Business (check Table I in 3.4 Program Requirements for ineligible courses). Of these 4.0 FCE, at least one FCE must be from each of at least two of the aforementioned Faculties. Science 311 may be counted among the four FCE from other faculties

3.0 FCE - Options

Note: The following substitutions allow students to enter the honours program later in their studies:

(a) The calculus sequence Mathematics 281, 283, 381 may be replaced by an average grade of B+ or better in either of the calculus sequences Mathematics 249 or 251, 253, 349, 353; or Applied Mathematics 217, 219, 309 with permission;

(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) Pure Mathematics 455 may be replaced by a grade of B+ or better in Pure Mathematics 435 with permission.

No substitutions will be allowed for Pure Mathematics 545.

Suggested Program Sequence Honours in Pure Mathematics

First Year Honours Courses

Fall Winter

Mathematics 273

Mathematics 213

Mathematics 281

Mathematics 283

Option

Computer Science 231 or 217 or 235

Humanities or Social Sciences option

Humanities or Social Sciences option

Option

Non-science option

Second Year Honours Courses

Mathematics 313

Option

Mathematics 381

Pure Mathematics 421

Mathematics 321

Pure Mathematics 315

Option

Option

Non-science option

Non-science option

Note: Students are expected to enrol in honours courses.

Recommendations

It is recommended that the 200- and 300-level courses listed above be taken in the first two years of study. 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.

Concentrations

Students may focus their program on one of two areas of interest by including a specified set of courses into their Major or Honours 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 Cryptography

For Major with Concentration: The first 4.0 FCE required in the Major Concentration, up to and including Mathematics 271 or 273, are the same as in the Major program. The remaining 16.0 FCE required in the Major Concentration are:

1.0 FCE - Computer Science 231 and 233; or 217 and 219; or 235 and 0.5 FCE senior-level course in Computer Science or Pure Mathematics

0.5 FCE - Computer Science 313 or 331 or 355

3.5 FCE - Pure Mathematics 315, 329, 419, 427, 429, 431, 529

1.0 FCE - Pure Mathematics 435 or 455 and 445 or 545

1.0 FCE - Applied Mathematics 311 and Mathematics 411

0.5 FCE - Pure Mathematics 421 or 521

4.0 FCE - Breadth requirement: Non-science options from the Faculties of Communication and Culture, Humanities, Fine Arts and Social Sciences and the Haskayne School of Business (check Table I in 3.4 Program Requirements for ineligible courses). Of these 4.0 FCE, at least one FCE must be from each of at least two of the aforementioned Faculties. Science 311 may be counted among the four FCE from other faculties

4.5 FCE - Options

For Honours with Concentration:

3.5 FCE - Same as the Honours Major program above, up to and including Mathematics 381

1.0 FCE - Computer Science 231 and 233; or 217 and 219; or 235 and 0.5 FCE senior-level course in Computer Science or Pure Mathematics

0.5 FCE - Computer Science 313 or 331 or 355

3.5 FCE - Pure Mathematics 315, 329, 419, 427, 429, 431, 529

1.0 FCE - Pure Mathematics 455 or 435 plus consent; and 545

1.0 FCE - Pure Mathematics 505, 511

1.0 FCE - Two of: Pure Mathematics 421, 521, Applied Math 411

4.0 FCE - Non-science options, same as Major Concentration program.

4.5 FCE - Options

Required Courses - Minor Program

5.0 FCE - Selected from the field of Pure Mathematics.

The selection might include: