Available Department Courses

Description

An introductory course for students who wish to develop quantitative skills.  Topics covered include: mathematical problem solving, logic, counting and cardinality, number systems, relations and functions, ratios and proportional relationships, probability, statistics, and geometry.

Note:

Meets Quantitative Reasoning Learning Outcome (QUAN)

Description

A course in mathematical modeling. Topics include linear, quadratic, difference equation, linear programming, matrix, and stochastic models and their applications.

Prerequisite(s):

One year of high school algebra.

Description

A study of the nature and development of some of the most important mathematical ideas. Topics may include, but are not limited to: infinity, variation, symmetry, numbers and notation, topology, mathematics and calculating machines, dimension, coordinate systems, dynamical systems, randomness, and probability.

Description

A study of the differentiation of algebraic and trigonometric functions with applications. Topics covered include limits, continuity, differentiation formulas, the Mean Value Theorem, curve sketching, optimization, and related rates.  

Note:

Meets Quantitative Reasoning Learning Outcome (QUAN)

Prerequisite(s):

2 years of high school algebra and a half year of trigonometry.

Description

A study of the integration of algebraic, trigonometric and transcendental functions with applications. Topics covered include the Fundamental Theorem of Calculus, calculating areas and volumes, the average value of a function, inverse functions, and integration techniques.

Note:

Meets Quantitative Reasoning Learning Outcome (QUAN)

Prerequisite(s): MA 170 

Description

A continuation of

Prerequisite(s): MA 180.

Description

A study of vector analysis and ordinary differential equations and their applications. Topics include vector fields, line and surface integrals, first order differential equations, linear differential equations, and systems of differential equations.

Prerequisite(s): MA 210.

Description

Via the solution of interesting problems, this course isolates and draws attention to the most important problem-solving techniques encountered in undergraduate mathematics. The aim is to show how a basic set of simple techniques can be applied in diverse ways to solve a variety of problems.

Note:

Meets Quantitative Reasoning Learning Outcome (QUAN)

Prerequisite(s): MA 180.

Description

An introduction to linear algebra and its applications.  Topics covered include systems of linear equations, matrix algebra, vector spaces, determinants, eigenvalues and eigenvectors, and diagonalization of matrices.

Prerequisite(s): MA 180 

Description

A  study of  probability distributions and their application to statistical inference. Topics include conditional probability and independence, Bayes' Rule, discrete and continuous probability distributions, Tchebysheff's Theorem, and the Central Limit Theorem.

Prerequisite(s): MA 180 

Description

A  study of  probability distributions and their application to statistical inference. Topics include estimation, large and small sample hypothesis testing, linear regressions, and analysis of variance.

Prerequisite(s): MA 330 

Description

Topics for discussion include complex numbers and their properties, analytic functions, integration in the complex plane, Cauchy's integral formula, Taylor and Laurent series, and methods of contour integration.

Prerequisite(s): MA 180 

Description

An axiomatic approach to Euclidean and non-Euclidean geometry with an integration of interactive geometric software.

Description

A study of numerical methods for function evaluation, solution of equations, approximation and interpolation, integration, differential equations, and linear systems.

Prerequisite(s): MA 180 

Description

Modern graph theory and combinatorics at an introductory level. Topics covered are: directed, undirected and weighted graphs, Euler and Hamiltonian circuits, trees, and vertex colourings.

Description

Designed to bridge the gap between manipulative elementary calculus and theoretical real analysis. The fundamentals of elementary calculus are treated in a more rigorous manner. Topics covered include mathematical induction, sequences, series, and continuity.

Prerequisite(s): MA 180 

Description

Designed to bridge the gap between manipulative elementary calculus and theoretical real analysis. The fundamentals of elementary calculus are treated in a more rigorous manner. Topics covered include sequences and series of functions, differentiation, and the Riemann integral.

Prerequisite(s): MA 410 

Description

A study of algebraic systems, including groups, rings, and fields.

Prerequisite(s): MA 180 

Description

Introduction to the history and development of mathematics from prehistory to the present.

Prerequisite(s): MA 180 

Description

This course will consist of a detailed investigation of a topic important to contemporary mathematics. The topic will be chosen by the department for its relevance to current mathematical thought and its accessibility to students.

Prerequisite(s): MA 180 or permission of the instructor.