Course Descriptions

This course is intended for students who need to improve their algebraic skills in order to prepare for a precalculus course or for a subject area where variables are used to represent unknown quantities. Topics covered include the real number system, exponents, radical expressions, polynomials and rational expressions; solving equations and application problems involving polynomials, rational expressions, and radical expressions; coordinate geometry, systems of equations; solving inequalities.

A study of important statistical methods commonly used in the analysis of research data, including t-tests and their non-parametric competitors, one and two-way analysis of variance, chi-square tests and regression analysis.

This course is intended for students who anticipate taking calculus or who require a Pre-calculus 12 equivalent course. This is a functions course with a focus on mathematical modelling and practical applications. Topics include: graphs, properties of functions, inverse functions, polynomial, rational, trigonometry, logarithms and exponential functions.

This course is an introduction to the mathematics of change and explores concepts of differential calculus with an emphasis on applications to business, social sciences and life sciences using a technology-based modeling approach. Topics include limits, continuity, the derivative, rules of differentiation, implicit differentiation and applications of differentiation.

With an emphasis on applications to business, social sciences and life sciences, this course explores topics in single variable integral calculus, multivariable calculus and differential equations. Topics include the definite integral and applications, integration techniques, multivariable functions, partial derivatives, extrema, Lagrange multipliers, some techniques for solving differential equations.

This is a course in Differential Calculus which covers the topics of limits, continuity, the derivative, rules of differentiation, implicit differentiation, parametric curves, related rates, curve sketching, optimization, linear approximations, transcendental functions, indeterminate forms and anti-differentiation. Throughout the course a strong emphasis is placed on the geometric interpretation of the concepts of calculus.

This course introduces mathematical and statistical ideas to students interested in improving critical thinking and quantitative skills. With a focus on problem solving, students will explore the beauty and the utility of mathematics while investigating such topics as cultural approaches to mathematics, percentages, interest rates, probability and statistics. As time permits, further topics such as geometry, math in art and music, and recreational mathematics will be explored.

A survey of fundamental topics in discrete mathematics including: mathematical proofs using direct arguments, indirect arguments, and induction; the algebra of sets; combinatorics; functions and relations; and graph theory. This course stresses the special role of discrete mathematics in Computing Science.

A study of the anti-derivative, the integral, techniques of integration, applications of the integral, differential equations, sequences, infinite series and Taylor's Theorem. Continued emphasis on the geometric interpretation of the concepts of calculus.

This course investigates relationships between mathematics and visual art and design. With a focus on problem solving, students will learn the numerical and geometric aspects of the Golden Ratio, one, two and three point linear perspective, tilings, fractals and Frieze patterns. As time permits, a number of other topics may be covered such as the mathematics of M.C. Escher, Latin square puzzles, or Flatland.

An introduction to lines and planes, systems of linear equations and matrices, vector spaces and linear transformations, determinants, eigenvalues and eigenvectors, diagonalization. The theory will be applied to first order linear differential equations, first order linear systems and engineering topics.

A study of selected topics in mathematics designed to give future elementary teachers an appreciation of the power, beauty and importance of mathematics. Topics studied include problem solving, number systems, geometry and statistics. This course does not normally count for credit in science programs. It is intended for students who plan on entering an education program for elementary school teachers.

An introduction to lines and planes, systems of linear equations and matrices, vector spaces and linear transformations, determinants, eigenvalues and eigenvectors, orthogonality and diagonalization. Theorems and proofs are an important component of the course.

An introduction to inferential statistical methods. Confidence intervals, t-tests, chi-square tests, correlation and regression. The emphasis will be on problem formulation, models, assumptions and interpretation. Regularly scheduled labs will introduce course participants to appropriate supporting statistical software.

A course for students who plan to proceed in mathematics. Logic, sets, functions, limits of sequences and series; introduction to continuity, the derivative, Riemann Integral.

A continuation of the study of discrete mathematics from MATH 124. The emphasis is on combinatorial analysis, including generating functions, set theory and graph theory, with applications to Computing Science including representations, algorithms, and complexity.

Analytical geometry of three dimensions; partial differentiation, applications; double and triple integrals; transformations to various coordinate systems.

Vector calculus; line and surface integrals; Green's Theorem; vector fields; divergence theorem; Stokes's Theorem; applications.

An introduction to ordinary differential equations; first order equations; higher order linear differential equations; linear systems; power series techniques; Laplace transform method; the phase plane, applications.

An introduction to lines and planes, systems of linear equations and matrices, vector spaces and linear transformations, determinants, eigenvalues and eigenvectors, diagonalization. The theory will be applied to first order linear differential equations, first order linear systems and engineering topics.

Mathematics has been used as a tool and as inspiration in the creation of works of music, literature and visual art and can be used in the analysis of these works. Through presentation of the math and examination of case studies, this course uncovers the math both in the forefront and behind the art. Mathematical proofs will also be developed that portray mathematics as a creative art in its own right.

Students will study the formation, analysis, and interpretation of mathematical models drawn from the physical, biological, and social sciences. They will study continuous and discrete, deterministic and stochastic models and will use techniques such as differential and difference equations, optimization, simple stochastic processes, and numerical methods.

This course is an introduction to the beauty and power of mathematics. Using basic strategies of thought and investigation, the student will explore some interesting and sophisticated ideas in mathematics, including those of numbers, infinity, geometry and fractals.

Students will examine and develop discrete models and linear programs as they relate to problems found in the physical, biological and social sciences. This includes shortest paths, matchings, graph colouring and network flows. Students will apply the simplex method and duality theory to find optimal solutions to the associated linear programs.

This course introduces a variety of supervised and unsupervised machine learning algorithms. Students will study methods such as regression and classification, decision trees, naive Bayes, Principal Component Analysis, support vector machines, neural networks, and unsupervised learning methods. A brief introduction to Deep Learning will also be included. Students will gain hands-on experience applying machine learning techniques to real-world data from multiple disciplines such as social sciences, life sciences, physical sciences, economics, education, and engineering.