University of Calgary : 5.5.3 Programs in Pure Mathematics

4.0 FCE - Breadth requirement: Options from Faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 4.0 FCE, at least 1.0 FCE must be from the Faculty of Arts. Science 311 may be counted among the 4.0 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 249 or 251 or 281 and 283 and 381

0.5 FCE - Computer Science 231 or 217 or 235

0.5 FCE - Pure Mathematics 315 or 317

0.5 FCE - Pure Mathematics 431

0.5 FCE - Mathematics 355 or Pure Mathematics 455

0.5 FCE - Mathematics 545 or Pure Mathematics 545*

0.5 FCE - Mathematics 423 or Pure Mathematics 421 or 521

0.5 FCE – Mathematics 447

1.5 FCE - Three of: Pure Mathematics 415, 418, 419, 425, 429, 471, 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 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

2.5 FCE - Selected from the major field

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

3.0 FCE - 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 249/251/281, 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;

(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

First Year Honours Courses
Fall	Winter
Mathematics 273	Mathematics 213
Mathematics 249 or 251 or 281	Mathematics 283
Option	Computer Science 231 or 217 or 235
Arts option	Arts option
Option	Non-science option
Second Year Honours Courses
Mathematics 313	Mathematics 423
Mathematics 381	Pure Mathematics 317
Mathematics 321	Mathematics 447
Mathematics 355	Option
Non-science option	Non-science option

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.

Concentrations

Students may focus their program on an area of interest by including a specified set of courses into their Major or Honours degree. Successful completion will mean that the Concentration in Cryptography 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.

Concentration in Cryptography

For Major with Concentration

8.5 FCE - Same as the Major program above, up to and including one of Mathematics, 421, 423, Pure Mathematics 421 or 521

0.5 FCE - Computer Science 329

0.5 FCE - Pure Mathematics 418 or Computer Science 418. For Pure Mathematics majors, Pure Mathematics 418 is recommended over Computer Science 418 for this concentration.

0.5 FCE - Pure Mathematics 429

2.0 FCE – Chosen from (a) or (b):

(a) Pure Mathematics 415 or 423; and three of: Pure Mathematics 419, Pure Mathematics 427, Pure Mathematics 511, Pure Mathematics 527, Pure Mathematics 529 or Computer Science 530 (1.0 FCE must come from the 500 level or above);

(b) Pure Mathematics 427 and three of: Pure Mathematics 419, Pure Mathematics 511, Pure Mathematics 527, Pure Mathematics 529 or Computer Science 530

4.0 FCE – Breadth requirement: Options from Faculties other than the Faculty of Science (check Table I in 3.4 Program Requirements for ineligible courses). Of these 4.0 FCE, at least 1.0 FCE must be from the Faculty of Arts. Science 311 may be counted among the 4.0 FCE from other Faculties.

4.0 FCE – Options

For Honours with Concentration:

6.5 FCE – Same as the Honours program above, up to and including Mathematics 423 or Pure Mathematics 521

0.5 FCE – Computer Science 329

0.5 FCE – Pure Mathematics 418 or Computer Science 418. For Pure Mathematics majors, Pure Mathematics 418 is recommended over Computer Science 418 for this concentration.

0.5 FCE – Pure Mathematics 429

1.0 FCE – Two of: Pure Mathematics 511 or 527 or 529 or Computer Science 530

1.0 FCE – Two of: Applied Mathematics 311 or Statistics 323, Computer Science 233, 313, 331, Physics 211 or 221 or 227, 223, Philosophy 279 or 377

3.0 FCE – Selected from the major field

1.0 FCE – Selected from any course labelled Applied Mathematics, Mathematics, Pure Mathematics or Statistics at the 300 level or above

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

2.0 FCE – Options

Note: The substitutions allowed for students to enter the Honours program later in their studies also apply to Honours with the Concentration in Cryptography.

Required Courses - Minor Program

5.0 FCE - Selected from the field of Pure Mathematics.

The selection might include:

Mathematics 211 or 213
Mathematics 249 or 251 or 281 or Applied Mathematics 217
Mathematics 253 or 283 or Applied Mathematics 219, Mathematics 311 or 313
Mathematics 349 and 353; or 381

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