Year Course ID Course
2021-2022 MATH 101

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.

Course Credits: 3
Prerequisite(s): At least a C in BC Principles of Mathematics 11, Foundations of Math 11, PreCalculus 11 or equivalent. (3-0 or 3 0)
2021-2022 MATH 102

#### Introduction to Probability and Statistics

Students will explore probability theory, descriptive and inferential statistics at an introductory level; applications are taken from a wide range of disciplines. Topics include descriptive analysis, scientific visualization, sets, permutations and combinations, probability, discrete and continuous distributions (e.g. binomial, normal, t), confidence intervals, hypothesis testing, correlation and linear regression. Not for credit towards a major, concentration, or minor in Mathematics.

Course Credits: 3
Prerequisite(s): At least a C in BC Principles of Mathematics 11, Foundations of Math 11, PreCalculus 11 or equivalent. (3-0; 3-0)
NB: Credit is granted for only one of MATH 102 or MATH 108.
2021-2022 MATH 105

#### Pre-Calculus Mathematics

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.

Course Credits: 3
Prerequisite(s): At least a B in BC Principles of Mathematics 11, Foundations of Math 11, PreCalculus 11 or equivalent. (4-0; 0-0)
2021-2022 MATH 108

#### Statistics for Health Students

Students specializing in the field of nursing will explore applied statistics at an introductory level. 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.

Course Credits: 3
Prerequisite(s): At least a C in BC Principles of Mathematics 11, Foundations of Math 11, PreCalculus 11 or equivalent.
NB: Credit may be received for only one of MATH 102 or MATH 108. NB: Only open to nursing students.
2021-2022 MATH 123

#### Calculus I

An introduction to the basic elements of calculus and its applications to modeling solutions to quantitative and computational problems encountered in mathematics and science. Lectures are three 75-minute classes, there are two voluntary tutorials (no sign-up needed), and there are extensive assignments requiring up to 12 hours per week.

Course Credits: 3
Prerequisite(s): At least a B in BC Principles of Mathematics 12, or Pre-Calculus 12 or equivalent, or MATH 105. (4-0; 4-0)
NB: Credit is granted for only one of MATH 120 or MATH 123
2021-2022 MATH 124

#### Calculus II

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

Course Credits: 3
Prerequisite(s): MATH 123 or an A in MATH 120 and the instructor's permission. (0-0; 4-0)
2021-2022 MATH 150

#### Introduction to Discrete Math

An introduction to those branches of pure mathematics which 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.

Course Credits: 3
Prerequisite(s): BC high school Mathematics 12, or Pre-Calculus 12, or MATH 101, or the equivalent. (3-1-0; 0-0-0)
NB: Not offered every year See department chair
Cross-listed: CMPT 150
2021-2022 MATH 190

#### Mathematics for Elementary Teachers

Mathematical concepts and topics that undergird the elementary school mathematics curriculum. Topics include 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. Students are responsible for checking the mathematics requirements of the school at which they intend to take their professional year, as they may be different from those required to obtain a teaching certificate.

Course Credits: 3
Prerequisite(s): At least a C in BC Principles of Mathematics 11, Foundations of Math 11, PreCalculus 11 or equivalent. (4-0 or 4-0)
NB: Credit is granted for only one of MATH 101, 102, 108, or 190. Open to declared Elementary Education majors only.
2021-2022 MATH 223

#### Calculus III

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, and surface integrals.

Course Credits: 3
Prerequisite(s): MATH 124. )
2021-2022 MATH 250

#### Linear Algebra

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

Course Credits: 3
Prerequisite(s): MATH 123 and preferably MATH 150.
2021-2022 MATH 310

#### Probability and Statistics

A study of the fundamental principles of mathematical statistics. Topics include 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.

Course Credits: 3
Prerequisite(s): MATH 223. (3-0 or 3 0)
NB: With the instructor's permission, may be taken concurrently with MATH 223. Not offered every year See department chair
2021-2022 MATH 320

#### Complex Analysis

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

Course Credits: 3
Prerequisite(s): MATH 223.
NB: Not offered every year See department chair
2021-2022 MATH 321

#### Differential Equations

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.

Course Credits: 4
Prerequisite(s): MATH 223, 250. (4-0 or 4-0)
Co-requisite(s): MATH 223, 250. (4-0 or 4-0)
NB: Not offered every year See department chair
Cross-listed: PHYS 321.
2021-2022 MATH 323

#### Analysis

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

Course Credits: 4
Prerequisite(s): MATH 223 (4-0 or 4-0)
Co-requisite(s): MATH 223 (4-0 or 4-0)
NB: Not offered every year See department chair.
2021-2022 MATH 330

#### Numerical Analysis

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.

Course Credits: 4
Prerequisite(s): MATH 223, 250; CMPT 140 or equivalent. (4-0 or 4-0)
Co-requisite(s): MATH 223, 250; CMPT 140 or equivalent. (4-0 or 4-0)
NB: Not offered every year See department chair
Cross-listed: CMPT 330.
2021-2022 MATH 340

#### Discrete Structure and Computing

This is a second course in the topics of pure mathematics, particularly those most commonly used in the study of Computing Science and related applications. It includes proof techniques, models of computation, formal languages, analysis of algorithms, trees and advanced general graph theory with applications, finite state and automata theory, encryption, and an elementary introduction to mathematical structures such as groups, rings, and fields.

Course Credits: 3
Prerequisite(s): CMPT 150 or MATH 150.
NB: Not offered every year See department chair
Cross-listed: CMPT 340.
2021-2022 MATH 370

#### Geometry

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

Course Credits: 3
Prerequisite(s): MATH 223, 250.
NB: Not offered every year See department chair
2021-2022 MATH 390

#### Number Theory

This course includes a study of the ideas of classical number theory, their historical development, and modern applications. Topics include divisibility and prime numbers, modular arithmetic, primality tests, primitive roots, quadratic reciprocity, Diophantine equations, continued fractions, and applications such as cryptography.

Course Credits: 3
Prerequisite(s): Third year standing and an understanding of mathematical proof techniques, or instructor's consent.
2021-2022 MATH 409

#### Thesis Preparation

In consultation with a faculty advisor students choose a mathematics topic for experiential inquiry that will develop into a senior thesis (MATH 410). Through student exploration and advisor feedback a selection of relevant readings and references are examined. A final written report is presented consisting of a detailed thesis proposal and a review of the literature.

Course Credits: 1
Prerequisite(s): Advanced standing in mathematics or instructor's consent.
2021-2022 MATH 410

#### Senior Thesis

Student-led inquiry into a chosen area of mathematics with a final written report on the research.

Course Credits: 2
Prerequisite(s): MATH 409, a related directed study in preparation, or instructor's consent.
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.