# Course Descriptions

## Mathematics

• ### MATH 101 Mathematics for Business (3 sem. hrs.)

Basic concepts in mathematics with applications in business. Topics include elementary counting and probability, variables, equations and functions, interest rates, annuities, and loan calculations. The course is aimed at business students and serves to enhance a student’s understanding of mathematics and its usefulness in a business environment.

Prerequisite(s): At least a C in B.C. Principles of Mathematics 11, Foundations of Math 11, Pre-Calculus 11 or equivalent. (4-0 or 4-0)

• ### MATH 102 Introduction to Probability and Statistics (3 sem. hrs.)

Sets, permutations and combinations, probability, introduction to statistics. Not for credit towards a major, concentration, or minor in Mathematics.

NB: Credit is granted for only one of MATH 102 or MATH 108.

Prerequisite(s): At least a C in B.C. Principles of Mathematics 11, Foundations of Math 11, Pre-Calculus 11 or equivalent. (3-0; 3-0)

• ### MATH 105 Pre-Calculus Mathematics (3 sem. hrs.)

An introduction to the tools essential for the study of calculus. Topics include algebra, trigonometry, exponents, logarithms, functions, graphs, conics, and plane analytic geometry. This course is taken by Science majors whose screening test during registration indicates they are not ready to take MATH 123.

Prerequisite(s): At least a B in MATH 101 or B.C. Principles of Mathematics 11, Foundations of Math 11, Pre-Calculus 11 or equivalent. (4-0; 0,0)

• ### MATH 108 Statistics for Health Students (3 sem. hrs.)

This course is an introduction to applied statistics addressed, in particular, to students specializing in the field of nursing. The focus is on developing the conceptual aspects of the subject rather than the mathematical foundations and assumes no prerequisite except elementary algebra. Topics include descriptive statistics, probability, the normal, t-, chi-square and F-distributions, confidence intervals, hypothesis testing, correlation, and regression. Applications are directed towards health and biological studies.

NB: Credit may be received for only one of MATH 102 or MATH 108.

NB: Only open to nursing students.

Prerequisite(s): At least a C in B.C. Principles of Mathematics 11, Foundations of Math 11, Pre-Calculus 11 or equivalent. (3-0 or 3-0)

• ### MATH 120 Calculus for Social Sciences (3 sem. hrs.)

An introduction to the basic elements of calculus and its application to problems encountered particularly in economics and the social sciences. Topics include limits, derivatives and their applications, integration and its applications.

NB: Credit is granted for only one of MATH 120 or MATH 123.

NB: Not offered every year. See Department Chair.

Prerequisite(s): At least a B in B.C. Principles of Mathematics 12, or Pre-Calculus 12 or equivalent, or MATH 101. (4-0 or 4-0)

• ### MATH 123 Calculus I (3 sem. hrs.)

Functions, limits and continuity, derivatives and applications, integrals and applications.

NB: Credit is granted for only one of MATH 120 or MATH 123.

Prerequisite(s): At least a B in B.C. Principles of Mathematics 12, or Pre-Calculus 12 or equivalent, or MATH 105. (4-0; 0)

• ### MATH 124 Calculus II (3 sem. hrs.)

Transcendental functions, integration techniques, polar co-ordinates, sequences, series, and Taylor series.

Prerequisite(s): MATH 123 or an A in MATH 120 and the instructor's permission. (0-0; 4-0)

• ### MATH 150 Introduction to Discrete Math (3 sem. hrs.)

This course introduces students to those branches of pure mathematics that are most commonly used in the study of Computing Science and/or have other practical applications. Topics include logic, proofs, switching circuits, set theory, induction, functions, languages, finite automata, combinatorics, and algebraic structures. This course may be taken by non-majors for non-lab science credit.

NB: Not offered every year. See Department chair.

Cross-listed: CMPT 150.

Prerequisite(s): B.C. high school Mathematics 12, or Pre-Calculus 12, or MATH 101, or the equivalent. (3-1-0; 0-0-0)

• ### MATH 190 Mathematics for Elementary Teachers (3 sem. hrs.)

Mathematical concepts and topics that undergird the school mathematics curriculum. The principles and applications of number systems, sets, equations, linear programming, geometry, and mathematical proof within a historical and societal context. It may not be used to meet a mathematics requirement in any other program.

NB: Credit is granted for only one of MATH 101, 102, 108, or 190. Open to declared Elementary Education majors only. Education students may meet their requirement for a Mathematics course by substituting another course for MATH 190 unless transferring for their professional year to a school requiring this specific course. Students planning to transfer to University of Victoria (and some other universities) for their professional year are required to take two Mathematics courses rather than one.

Prerequisite(s): At least a C in B.C. Principles of Mathematics 11, Foundations of Math 11, Pre-Calculus 11 or equivalent. (4-0 or 4-0)

• ### MATH 223 Calculus III (3 sem. hrs.)

Multivariate calculus. Topics include vectors, vector functions and derivatives; curves; partial and directional derivatives; Lagrange multipliers; double and triple integrals; spherical and cylindrical co-ordinates; vector integrals, Green's Theorem, surface integrals.

Prerequisite(s): MATH 124, 150. (3-0; 0-0)

• ### MATH 250 Linear Algebra (3 sem. hrs.)

Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization applications, linear programming.

Prerequisite(s): MATH 123 and preferably MATH 150. (3-0 or 3-0)

• ### MATH 310 Probability and Statistics (3 sem. hrs.)

A study of the fundamental principles of mathematical statistics. Probability distributions and densities, expectation and moment-generating functions, functions of random variable, sampling distributions, estimation, hypothesis testing, regression and correlation, analysis of variance, nonparametric tests.

NB: With the instructor’s permission, may be taken concurrently with MATH 223. Not offered every year. See Department chair.

Prerequisite(s): MATH 223. (3-0 or 3-0)

• ### MATH 320 Complex Analysis (3 sem. hrs.)

Functions of a complex variable, differentiation, analytic and elementary functions, Cauchy’s theorem and contour integration, Taylor and Laurent series, residues and poles, conformal mapping. Emphasis is placed on physical applications.

NB: Not offered every year. See Department Chair.

Prerequisite(s): MATH 223. (3-0 or 3-0)

• ### MATH 321 Differential Equations (4 sem. hrs.)

First order differential equations, linear differential equations, Laplace transforms, systems of differential equations, non-linear systems, series solutions, introduction to partial differential equations. Special emphasis is placed on applications to physics and engineering.

NB: Not offered every year. See Department chair.

Cross-listed: PHYS 321.

Pre- or Co-requisite(s): MATH 223, 250. (4-0 or 4-0)

• ### MATH 323 Analysis (4 sem. hrs.)

Sequences and induction; convergence of sequences and series; limits, continuity, and differentiability; Riemann integrals; sequences of functions and an introduction to topology.

NB: Not offered every year. See Department chair.

Pre- or Co-requisite(s): MATH 223 (4-0 or 4-0)

• ### MATH 330 Numerical Analysis (4 sem. hrs.)

This course covers numerical techniques for solving problems in applied mathematics, including error analysis, roots of equations, interpolation, numerical differentiation and integration, ordinary differential equations, matrix methods and selected topics from among: eigenvalues, approximation theory, non-linear systems, boundary-value problems, numerical solution of partial differential equations.

NB: Not offered every year. See Department chair.

Cross-listed: CMPT 330.

Pre- or Co-requisite(s): MATH 223, 250; CMPT 140 or equivalent. (4-0 or 4-0)

• ### MATH 340 Computing with Discrete Structures (3 sem. hrs.)

This course continues CMPT 150 and MATH 150. It also includes models of computation, graph theory, an introduction to abstract algebra, formal languages, and algorithms.

NB: Not offered every year. See Department chair.

Cross-listed: CMPT 340.

Prerequisite(s): CMPT 150 or MATH 150. (0-0; 3-0)

• ### MATH 350 Operations Research (3 sem. hrs.)

Linear programming, duality, network analysis, queuing theory, inventory theory, dynamic programming, non-linear programming.

NB: Not offered every year. See Department chair.

Prerequisite(s): MATH 223, 250. (3-0 or 3-0)

• ### MATH 370 Geometry (3 sem. hrs.)

Finite geometries, transformations, Euclidean geometry, constructions, inverse geometry, projective geometry, non-Euclidean geometry.

NB: Not offered every year. See Department chair.

Prerequisite(s): MATH 223, 250. (3-0 or 3-0)

• ### MATH 390 Topics in Arithmetic (3 sem. hrs.)

This course includes a study of the ideas of classical number theory from the early Greek mathematicians through the European contributions of the 17th century to modern times. Topics include divisibility and primes, modular arithmetic, primality tests, primitive roots, quadratic reciprocity, Diophantine equations, and continued fractions.

NB: Not offered every year. See Department chair.

Prerequisite(s): Third year standing and an understanding of mathematical proof techniques, or instructor's consent. (3-0 or 3-0)

• ### MATH 400 Directed Studies in Mathematics (3 sem. hrs.)

Students are required to produce an outline of the topic to be studied in consultation with the instructor. A course of reading and/or research is pursued according to the approved outline. Assessment may be via examination and/or a final written report.

NB: This course with the appropriate choice of topics can be used as a preparation for the senior thesis (MATH 410).

Prerequisite(s): Advanced standing in Mathematics or instructor's consent.

• ### MATH 409 Thesis Preparation (1 sem. hr.)

Students are required to choose a topic for their senior thesis (MATH 410) in consultation with an instructor. Selected readings and references pertinent to the topic are assigned. A final written report is presented consisting of a detailed thesis proposal and a review of the literature.

Prerequisite(s): Advanced standing in Mathematics or instructor's consent.

• ### MATH 410 Senior Thesis (2 sem. hrs.)

Research in a chosen area of mathematics with a final written report.

NB: Normally 2 sem. hrs. are assigned unless arrangements are made with the Department chair. If 3 sem. hrs. are required, MATH 411 is taken.

Prerequisite(s): MATH 409, a related directed study in preparation, or instructor's consent.

• ### MATH 411 Senior Thesis (3 sem. hrs.)

Research in a chosen area of mathematics with a final written report.

Prerequisite(s): MATH 409, a related directed study in preparation, or instructor's consent.

• ### MATH 420 Topics in Applied Mathematics (3 sem. hrs.)

Possible topics could include mathematical models of social and natural phenomena, linear programming, applied mathematics in physics and astronomy, etc.

NB: Not offered every year. See Department chair. Entry restricted to third and fourth year students who meet the prerequisites for the topic to be offered. (3-0 or 3-0)

• ### MATH 450 Modern Algebra (3 sem. hrs.)

Abstract algebra including group, field, and ring theory; algebraic systems, polynomial theory and additional topics in modern and abstract algebra as time permits.

NB: Not offered every year. See Department chair.

Prerequisite(s): MATH 150 and 250, third year standing or better (a 300 level Mathematics course such as 323, 340, 370 or 390 is recommended), and a very good understanding of mathematical proof techniques, or instructor's consent. (0-0; 3-0)

• ### MATH 480 Foundations of Mathematical Sciences (3 sem. hrs.)

A study of basic issues in the history and philosophy of mathematics and physics. Topics include logic, infinity, Godel's theorems, time, space, determinism, the nature of mathematical and scientific truth, the ontological status of theoretical entities, implications of relativity, quantum mechanics, and modern cosmology. Particular attention is paid to philosophical/theological presuppositions, implications, and applications in the mathematical sciences.

NB: This course meets the University's upper level IDIS core requirement. In combination with NATS 490, it meets the Faculty of Natural and Applied Sciences? Interdisciplinary Studies core requirement. Not offered every year. See Department chair.

Prerequisite(s): Third year standing, including 9 sem. hrs. in Mathematics, Physics, or Philosophy. (3-0 or 3-0)