²ÝÝ®ÎÛÊÓƵµ¼º½ : 5.5.2 Programs in Applied Mathematics

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5.5.1 Recommended First and Second Year Sequence
5.5.2 Programs in Applied Mathematics
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²ÝÝ®ÎÛÊÓƵµ¼º½ Calendar 2010-2011 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
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

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 and 321

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

0.5 FCE - Applied Mathematics 311

0.5 FCE - Computer Science 231 or 217 or 235

0.5 FCE - Pure Mathematics 315 or Mathematics 323

1.0 FCE - Two from the list:

Physics 211 or 221 or 227, 223 or 255,

Astrophysics 213,

Chemistry 201 or 211 and 203 or 213,

Computer Science 233, 313, 331,

Biology 231, 233,

Geophysics 355, 465

1.0 FCE - Applied Mathematics 413, Mathematics 411

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

0.5 FCE - Pure Mathematics 421 or 521

0.5 FCE - Applied Mathematics 491

0.5 FCE - Applied Mathematics 411 or 425 or 451 or 493

4.0 FCE - Breadth requirement:ÌýOptions 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 one FCE must be from the Faculty of Arts. Science 311 may be counted among the four FCE from other faculties.

6.5 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 281, 283, 381

0.5 FCE - Mathematics 321

1.0 FCE - Mathematics 211 or 213, 311 or 313

0.5 FCE - Pure Mathematics 315 or Mathematics 323

0.5 FCE - Pure Mathematics 431 or Applied Mathematics 481 or 483

1.0 FCE - Pure Mathematics 455, 545

0.5 FCE - Pure Mathematics 421 or 521

2.0 FCE - Applied Mathematics 311, 411, 413, 491

0.5 FCE - Computer Science 217 or 231 or 235

1.0 FCE - Any 500 level or above course in Applied Mathematics

4.0 FCE - Breadth requirement:ÌýOptions 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 one FCE must be from the Faculty of Arts. Science 311 may be counted among the four FCE from other faculties.6.5 FCE - Options

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 281, 283, 381 may be replaced by an average grade of B+ or better in either of the calculus sequences Mathematics 249/251, 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 First and Second Year Honours in Applied Mathematics

First Year Honours Courses*

Ìý
Fall Winter

Mathematics 273

Math 213

Mathematics 281

Mathematics 283

Option

Computer Science 231 or 217 or 235

Arts option

Arts option

Option

Non-science option

Second Year Honours Courses

Ìý

Mathematics 313

Option

Mathematics 381

Pure Mathematics 421

Mathematics 321

Pure Mathematics 315

Applied Mathematics 311

Option

Non-science option

Non-science option

*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. Students should consult with the Undergraduate Director on a regular basis throughout their program.

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 4.0 FCE required in the Concentration, up to and including Applied Mathematics 311, are the same as in the Major program. The remaining 16.0 FCE required in the Concentration are:

0.5 FCE - Mathematics 323

1.0 FCE - Computer Science 231 and 233 or Computer Science 235 and Actuarial Science 325

0.5 FCE - Pure Mathematics 421

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

1.0 FCE - Statistics 407 and 409

0.5 FCE - Mathematics 411

3.0 FCE - Applied Mathematics 413, 481, 483, 491, 493, 581

4.0 FCE - Breadth requirement:ÌýOptions 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 one FCE must be from the Faculty of Arts. Science 311 may be counted among the four FCE from other faculties.

4.5 FCE - Options

B. Concentration in Computational Applied Mathematics

The first 4.0 FCE required in the Concentration, up to and including Applied Mathematics 311, are the same as in the Major program. The remainingÌý16.0 FCE required in the Concentration are:

0.5 FCE - Mathematics 323

1.0 FCE - Computer Science 231 and 233 or 235 and 0.5 FCE senior-level Computer Science option or Applied Mathematics option

0.5 FCE - Software Engineering 301

0.5 FCE - Pure Mathematics 421

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

0.5 FCE - Mathematics 411

3.0 FCE - Applied Mathematics 413, 425, 433, 491, 493, 503

4.0 FCE - Breadth requirement:ÌýOptions 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 one FCE must be from the Faculty of Arts. Science 311 may be counted among the four FCE from other faculties.

0.5 FCE - choose one from Biology 231, or Chemistry 201 or 203 or 211, or Physics 211, 221 or 227

4.5ÌýFCE - Options

Required Courses - Minor Program

0.5 FCE - Mathematics 211Ìýor 213

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

0.5 FCE - Mathematics 283 or 253 or Applied Mathematics 219

0.5 FCE - Mathematics 311 or 313

1.0 FCE - Mathematics 349 and either 353 or Applied Mathematics 309, OR Mathematics 381 and 273

0.5 FCE - Applied Mathematics 311 or 307

1.5 FCE - From the list: Mathematics 321, 323, any course labeled Applied Mathematics at the 400 level or above.