¶¡ÏãÔ°AV

Department of Mathematics | Faculty of Science
¶¡ÏãÔ°AV Calendar 2012 Fall

Applied mathematics traditionally consists of areas of mathematics which are closely related to the physical sciences and engineering, but nowadays sophisticated mathematical tools are used across many disciplines, and applied mathematics has become increasingly computationally oriented.

The Department of Mathematics offers an applied mathematics honours program. Students interested in applied mathematics may also wish to consider the joint honours program in mathematics and computer science, and the mathematical physics honours program, both of which include a substantial number of applied mathematics courses.

Prerequisite Grade Requirement

To enrol in a course offered by the Department of Mathematics, a student must obtain a grade of C- or better in each prerequisite course. Some courses may require higher prerequisite grades.

Students will not normally be permitted to enrol in any course for which a D grade or lower was obtained in any prerequisite. No student may complete, for further credit, any course offered by the Department of Mathematics which is a prerequisite for a course the student has already completed with a grade of C- or higher, without permission of the department.

Program Requirements

Students complete 132 units, as specified below.

Lower Division Requirements

Students complete 40-44 units, including either one of

• CMPT 126 Introduction to Computing Science and Programming (3)
• CMPT 128 Introduction to Computing Science and Programming for Engineers (3)

or both of

• CMPT 120 Introduction to Computing Science and Programming I (3)
• CMPT 125 Introduction to Computing Science and Programming II (3)

and all of

• CMPT 225 Data Structures and Programming (3)
• MATH 242 Introduction to Analysis I (3)
• MATH 251 Calculus III (3)
• MATH 252 Vector Calculus (3)
• PHYS 125 Mechanics and Special Relativity (3)
• PHYS 126 Electricity, Magnetism and Light (3)
• PHYS 211 Intermediate Mechanics (3)
• STAT 270 Introduction to Probability and Statistics (3)

and one of

• MATH 150 Calculus I with Review (4)
• MATH 151 Calculus I * (3)
• MATH 154 Calculus I for the Biological Sciences (3)
• MATH 157 Calculus I for the Social Sciences (3)

and one of

• MATH 152 Calculus II * (3)
• MATH 155 Calculus II for the Biological Sciences (3)
• MATH 158 Calculus II for the Social Sciences (3)

and one of

• MATH 232 Applied Linear Algebra (3)
• MATH 240 Algebra I: Linear Algebra * (3)

and either

• MACM 202 Mathematical Modeling and Computation (4)

or two of

• MACM 203 Computing with Linear Algebra (2)
• MACM 204 Computing with Calculus (2)
• MATH 294 Computational Studies in Mathematics (2)

or with prior approval, one of†

• MACM 401 Introduction to Computer Algebra (3)
• MACM 409 Numerical Linear Algebra: Algorithms, Implementation and Applications (3)
• MACM 416 Numerical Analysis II (3)
• MATH 461 Continuous Mathematical Models (3)
• MATH 462 Fluid Dynamics (3)
• MATH 467 Dynamical Systems (3)
• MATH 470 Variational Calculus (3)
• MATH 495 Selected Topics in Applied Mathematics (3)

*strongly recommended
†cannot be used to satisfy other upper division requirements

Upper Division Requirements

Students complete 48 units, including all of

• MACM 316 Numerical Analysis I (3)
• MATH 310 Introduction to Ordinary Differential Equations (3)
• MATH 314 Introduction to Fourier Methods and Partial Differential Equations (3)
• MATH 320 Introduction to Analysis II (3)
• MATH 322 Complex Variables (3)
• MATH 418 Partial Differential Equations (3)

and at least one of

• MATH 461 Continuous Mathematical Models (3)
• MATH 462 Fluid Dynamics (3)
• MATH 467 Dynamical Systems (3)

and at least one of

• MACM 416 Numerical Analysis II (3)
• MATH 467 Dynamical Systems (3)

and at least six of

• MACM 401 Introduction to Computer Algebra (3)
• MACM 409 Numerical Linear Algebra: Algorithms, Implementation and Applications (3)
• MACM 416 Numerical Analysis II (3)
• MATH 308 Linear Optimization (3)
• MATH 309 Continuous Optimization (3)
• MATH 338 Advanced Linear Algebra (3)
• MATH 343 Applied Discrete Mathematics (3)
• MATH 345 Introduction to Graph Theory (3)
• MATH 419 Linear Analysis (3)
• MATH 424 Complex Analysis (3)
• MATH 425 Real Analysis (3)
• MATH 461 Continuous Mathematical Models (3)
• MATH 462 Fluid Dynamics (3)
• MATH 467 Dynamical Systems (3)
• MATH 470 Variational Calculus (3)
• MATH 495 Selected Topics in Applied Mathematics (3)
• PHYS 395 Computational Physics (3)
• PHYS 413 Advanced Mechanics (3)
• PHYS 484 Nonlinear Physics (3)
• STAT 380 Introduction to Stochastic Processes (3)

and two additional upper division MATH or MACM courses, or any pre-approved quantitative upper division course offered by the Faculties of Applied Sciences, Arts and Social Sciences, Beedie School of Business or Faculty of Science. For this purpose a course, if not MATH or MACM, must be pre-approved by an advisor. Students are encouraged to explore the option of completing courses outside the department and to discuss possibilities with a department advisor.

Choices from the fourth group (at least six of) must not include the courses used to satisfy the second and third groups (at least one of). At least five of the courses used to satisfy the upper division requirements must be at the 400 division.

Other Requirements

Of the total 132 units required for the major, at least 12 must be completed outside the Faculty of Science including at least six in the Faculty of Arts and Social Sciences.

At least 60 of the units must be at the upper division. A cumulative grade point average (CGPA) of at least 3.00 and an upper division grade point average of at least 3.00 are required. These averages are computed on all courses completed at the University. If both averages are at least 3.50, the designation "first class" applies.

In addition to the above requirements, students must also satisfy Faculty of Science honours program requirements as follows.

Faculty of Science Requirements

In addition to the above requirements, students must also satisfy Faculty of Science honours program requirements as follows.

• students are required to complete additional upper division units to total a minimum of 60 upper division units (excluding EDUC 401 to 406)
• students who were enrolled at ¶¡ÏãÔ°AV between fall 1991 and summer 2006 are required to complete a minimum of 12 units in subjects outside the Faculty of Science (excluding EDUC 401 to 406) including six units minimum to be completed in the Faculty of Arts and Social Sciences

Writing, Quantitative, and Breadth Requirements

Students admitted to ¶¡ÏãÔ°AV beginning in the fall 2006 term must meet writing, quantitative and breadth requirements as part of any degree program they may undertake. See Writing, Quantitative, and Breadth Requirements for university-wide information.

Residency Requirements and Transfer Credit

The University’s residency requirement stipulates that, in most cases, total transfer and course challenge credit may not exceed 60 units, and may not include more than 15 units as upper division work.

Elective Courses

In addition to the courses listed above, students should consult an academic advisor to plan the remaining required elective courses.

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