Summer Calendar 2012: MATH Courses

Department of Mathematics and Statistics

Faculty of Science

Undergraduate Courses

Notes on Course Requirements

1. Any student who has been awarded a UBCSFU- UVIC-UNBC Calculus Examination Certificate can receive credit for MATH 100 with the letter grade corresponding to the examination score.Written application to the Department of Mathematics and Statistics is required.

2. Credit by course challenge is not offered.Any students who demonstrate to the department that they have mastered the material of a course may be granted advanced placement. For this purpose a score of 4 or 5 on the AP Calculus test will constitute mastery of MATH 100.

3. The prerequisite for MATH 100 is a minimum grade of B (>72%) in one of Principles of Mathematics 12, Pre-calculus 12, or equivalent; or credit in MATH 120; or a PASS on the MATH 100 pretest. The pretest will be given in the first week of classes each term.

4. All courses within the Department of Mathematics and Statistics which require a calculator will permit only the use of a specific department-selected calculator. Detailed information about calculator restrictions will be given at the beginning of these courses.

MATH 100 Units: 1.5 Schedule

Calculus I

Review of analytic geometry; functions and graphs; limits; derivatives; techniques and applications of differentiation; antiderivatives; the definite integral and area; logarithmic and exponential functions; trigonometric functions; Newton's, Simpson's and trapezoidal methods.

Notes: - Credit will be granted for only one of 100, 102. See notes 1, 2, 3, and 4 on this page.

- MATH 100 requires a greater facility with algebra and trigonometry than does MATH 102, an entry-level calculus course for students requiring no further calculus courses.

Prerequisites: Minimum grade of 73 in one of Principles of Mathematics 12, Pre-calculus 12, or equivalent; or minimum grade of B in 120; or a PASS on the MATH 100 pretest.

MATH 101 Units: 1.5 Schedule

Calculus II

Volumes; arc length and surface area; techniques of integration with applications; polar coordinates and area; l'Hôpital's rule; Taylor's formula; improper integrals; series and tests for convergence; power series and Taylor series; complex numbers.

Note: See note 4 on this page.

Prerequisites: 100 or equivalent.

MATH 102 Units: 1.5 Schedule

Calculus for Students in the Social and Biological Sciences

Calculus of one variable with applications to the social and biological sciences.

Notes: - Credit will be granted for only one of 102, 100.See note 4 on this page.

- MATH 102 does not prepare students for further study of calculus and will restrict future options by ruling out a range of courses which require MATH 100.

Prerequisites: Principles of Mathematics 12 or Pre-calculus 12 or equivalent; or 120.

MATH 120 Units: 1.5 Schedule

Formerly: MATH 012

Precalculus Mathematics

The essential topics prerequisite for calculus. Elementary functions with emphasis on the general nature of functions; polynomial, rational, exponential, logarithmic, and trigonometric functions. Conic sections, plane analytic geometry.

Notes: - Not open for credit to students with credit in any of 012, 100 or 102, and not intended for students who are proficient with the topics covered in Principles of Mathematics 12 or Pre-calculus 12.

- See note 4 on this page.

Prerequisites: Principles of Mathematics 11 or Pre-calculus 11 or equivalent.

MATH 122 Units: 1.5 Schedule

Formerly: 224

Logic and Foundations

Logic and quantifiers, basic set theory, mathematical induction and recursive definitions, divide and conquer recurrence relations, properties of integers, counting, functions and relations, countable and uncountable sets, asymptotic notation.

Notes: - Credit will be granted for only one of 122, 224, CENG 245.

- Not open for credit to students with credit in any of 222, 422 or 423.

- Students with 90% or higher in Principles of Mathematics 12 or Pre-calculus 12 are encouraged to request permission to register.

Prerequisites: 100 or 102 or 151 or permission of the department.

MATH 151 Units: 1.5 Schedule

Finite Mathematics

Geometric approach to linear programming, linear systems, Gauss-Jordan elimination, matrices, compound interest and annuities, permutations and combinations, basic laws of probability, conditional probability, independence, tree diagrams and Bayes formula, random variables and their probability distributions (including binomial and hypergeometric), expectation, applications of discrete probability and Markov chains.

Note: Not open for credit to students with credit in 352.

Prerequisites: One of Principles of Mathematics 11 or 12, Pre-calculus 11 or 12, Foundations of Mathematics 11 or 12, or 1.5 units of credit in MATH courses numbered 100 or higher.

MATH 161 Units: 1.5 Schedule

Formerly: 160A

Mathematics for Elementary School Teachers I

Number systems and their properties, the set of real numbers and its subsets, the interpretation of numerical operations with applications including combinations and permutations, standard computation algorithms. Problem solving is emphasized throughout.

Note: Credit will be granted for only one of 161, 160, 160A. Intended for prospective Elementary Education students only. Not open for credit to students with more than 1.5 units of credit in MATH courses numbered 100 or higher (excluding 120) without prior permission of the department.

Prerequisites: One of Principles of Mathematics 11 or 12, Pre-calculus 11 or 12, Foundations of Mathematics 11 or 12.

MATH 200 Units: 1.5 Schedule

Calculus of Several Variables

Vectors and vector functions; solid analytic geometry; partial differentiation; directional derivatives and the gradient vector; Lagrange multipliers; multiple integration with applications; cylindrical and spherical coordinates; surface area; line integrals; Green's Theorem. The section of this course for engineering students will also cover the following topics: surface integrals and the divergence theorem.

Note: Credit will be granted for only one of 200, 202, 205. If all of 202, 200, and 201 are taken, credit will be granted for only 200 and 201.

Prerequisites: 101.

MATH 201 Units: 1.5 Schedule

Introduction to Differential Equations

First order equations, linear second order equations and 2-dimensional systems of linear equations with constant coefficients, elementary qualitative methods, numerical Euler and Runge-Kutta methods, Laplace transform, applications.

Note: Credit will be granted for only one of 201, 202. If all of 200, 201, and 202 are taken, credit will be granted for only 200 and 201.

Prerequisites: 101.

MATH 211 Units: 1.5 Schedule

Formerly: 233A

Matrix Algebra I

Matrices: simultaneous equations; determinants; vectors in 2-, 3- and n-tuple space; inner product; linear independence and rank; change of coordinates; rotation of axes in 2- and 3-dimensional Euclidean space; orthogonal matrices; eigenvalues and eigenvectors.

Note: Credit will be granted for only one of 211, 110, 133, 233A.

Prerequisites: At least 3.0 units of MATH courses; or a minimum grade of A in one of 120, Principles of Mathematics 12, Pre-calculus 12, or equivalent.

MATH 212 Units: 1.5 Schedule

Formerly: 233C

Introduction to Algebra

Definitions and examples of groups, rings, fields, and integral domains; rational numbers, real numbers, and complex numbers; polynomials and their factorization; permutations. Additional topics chosen from Boolean algebras and lattices, and transfinite arithmetic.

Note: Credit will be granted for only one of 212, 233C.

Prerequisites: 122.

MATH 222 Units: 1.5 Schedule

Formerly: 324

Discrete and Combinatorial Mathematics

Graph theory, counting, combinatorial arguments and proofs, inclusion-exclusion, partial orders and equivalence relations, deriving and solving recurrence relations, generating functions.

Note: Not open for credit to students registered in or with credit in any of 324, 422, or 423.

Prerequisites: 122 or permission of the department.

MATH 301 Units: 1.5 Schedule

Formerly: 330B

Complex Variables

Theory of functions of a complex variable, analytic functions, elementary functions, integration, power series, residue theory.

Note: Credit will be granted for only one of 301, 330B, 338, 438.

Prerequisites: One of 236, 300, 330A, 335, 336.

MATH 346 Units: 1.5 Schedule

Formerly: 326

Introduction to Partial Differential Equations

Partial differential equations in physics (wave, heat and Laplace equations), solution by separation of variables, method of characteristics for first-order partial differential equations, boundary value problems, orthogonal functions, Fourier series, transform methods (Laplace and Fourier transforms), numerical methods.

Note: Credit will be granted for only one of 346, 323B, 326.

Prerequisites: One of 323, 323A, 325, 342.

Graduate Courses

MATH 599 Units: 6.0 Schedule

Master's Thesis

Grading: INP, COM, N, F

MATH 693 Units: 3.0 Schedule

Candidacy Examination