Mathematics

This course is intended for students not majoring in science, engineering, commerce, or mathematics (i.e., students not required to take calculus).  It provides a foundation for thinking quantitatively.   An emphasis is placed on real-world applications.  Topics include mathematical reasoning, data interpretation, problem-solving strategies, equation solving, number sense, probability, counting principles, geometric applications, and measurement.

This course provides an overview of topics in finite mathematics and their applications. It is intended for students not majoring in science, engineering, commerce, or mathematics (i.e., students who are not required to take calculus). This course introduces logic, set theory, counting techniques, basic probability, statistics, and personal finance.

This course emphasizes the algebra of functions - including polynomial, rational, exponential, and logarithmic functions. In addition, the course covers non-linear inequalities as well as systems of linear and non-linear equations and inequalities.

This course includes the study of trigonometric (circular) functions and inverse trigonometric functions, as well as extensive work with trigonometric identities, equations, and formulas. It also covers vectors, complex numbers, DeMoivre’s Theorem, and polar graphs. Additional topics may include conic sections and product-sum formulas.

This course is a one-semester accelerated combination of Precalculus Algebra (MTH 112) and Precalculus Trigonometry (MTH 113). It is intended for students with a strong background in college preparatory mathematics. The course includes the algebra of functions (including polynomial, rational, exponential, and logarithmic functions) and the study of trigonometric functions and inverse trigonometric functions. It also includes extensive work with trigonometric identities, equations, and formulas; vectors; complex numbers; and polar graphs.

This course is intended to give a broad overview of calculus. It includes limits, differentiation, and integration of algebraic, exponential, logarithmic, and multi-variable functions with applications to business, economics, and other disciplines. This course may also include LaGrange multipliers, extrema of functions of two variables, method of least squares, linear approximation, and linear programming.

This is the first of three courses in the basic calculus sequence taken primarily by science, engineering, and mathematics students. Topics include the limit of a function, the derivative of algebraic, trigonometric, exponential, and logarithmic functions, and the definite integral and its basic applications to area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus.

This is the second of three courses in the basic calculus sequence. Topics include integration applications and techniques, infinite series, polar coordinates, parametric equations, lines and planes in space, and vectors in the plane and in space.

This is the third of three courses in the basic calculus sequence. Topics include vector functions, functions of two or more variables, partial derivatives (including applications), quadric surfaces, multiple integration, and vector calculus (including Green’s Theorem, curl and divergence, surface integrals, and Stokes’ Theorem).

This course introduces the basic theory and application of the following topics:  systems of linear equations and matrices, (finite-dimensional) vector spaces, linear transformations and matrices, determinants, eigenvalues and eigenvectors, inner product and orthogonality, Gram-Schmidt, least squares, and the diagonalization of symmetric matrices.

This course provides an introduction to statistical methods and includes the following topics: sampling, frequency distributions, measures of central tendency and variation, probability, discrete and continuous distributions, graphic representation, hypothesis testing, confidence intervals, regression, and applications.