Category 3: Mathematics (College Algebra Track)

Topics include algebraic, graphical and numerical representations of functions, including transformations, composition and inverses of functions. Focuses on the study of polynomial, rational, root, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions of real numbers. Also includes equation solving and trigonometric identities. Techniques of problem solving and applications are included throughout the course requiring the frequent usage of graphing utilities. Requires a non-graphing scientific calculator for some formal assessments and access to an online homework assessment.

Introduces ordinary differential equations by means of algebraic, numerical, and graphical analysis (including phase-plane analysis). Examines first order differential equations, second and higher order linear equations, methods for nonhomogeneous second order equations, series solutions, Laplace transforms, linear systems, and linearization of nonlinear systems. Covers various applications throughout the course. Requires a non-graphing scientific calculator for some formal assessments, access to a free graphing utility application to support learning and during informal assessments, and access to an online homework assessment.

Introduces matrix and linear algebra. Covers systems of linear equations, matrix operations and properties of matrices, determinants, the n-dimensional real vector space, general vector spaces, inner product spaces, linear transformations, and eigenvalues and eigenvectors. Presents various applications. Requires a non-graphing scientific calculator for some formal assessments, access to a free graphing utility application to support learning and during informal assessments, and access to an online homework assessment.

Covers topics such as the calculus of vector-valued functions, the differential calculus of functions of more than one variable, directional derivatives, gradients, partial derivatives, multiple integration, vector fields, and line integrals. Various applications are covered throughout the course. Utilizes numerical, graphical, and algebraic approaches whenever possible. Requires a non-graphing scientific calculator for some formal assessments, access to a free graphing utility application to support learning and during informal assessments, and access to an online homework assessment.

For students in a computer engineering or computer science program. Covers logic, methods of proof, set theory, algorithms, recursion, correctness, relations, partial orderings, graphs, trees, Boolean algebra, grammars, and finite-state machines. Includes various applications throughout the course. Requires a non-graphing scientific calculator for some formal assessments, access to a free graphing utility application to support learning and during informal assessments, and access to an online homework assessment.

Topics include applications of the integral, techniques of integration, numerical integration, improper integrals, solutions of separable differential equations, infinite series, polynomial approximations of functions, power series, Taylor and MacLaurin series, and parametric and polar equations. Utilizes numerical, graphical, and algebraic approaches whenever possible. Includes applications throughout the course. Requires a non-graphing scientific calculator for some formal assessments, access to a free graphing utility application to support learning and during informal assessments, and access to an online homework assessment.

For students planning to pursue a course of study involving a concentration in mathematics. Topics include limits, continuity, the derivative, differentiation of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions, applications of the derivative, antidifferentiation, and the definite integral.  Numerical, graphical and algebraic approaches are used whenever possible. Credit cannot be earned for both MATH 153 and 180. Requires a non-graphing scientific calculator for some formal assessments, access to a free graphing utility application to support learning and during informal assessments, and access to an online homework assessment.

Topics include algebraic, graphical and numerical representations of functions, including composition and inverses of functions. Focuses on the study of rational functions, exponential and logarithmic functions, and trigonometric functions of real numbers and angles. Also includes analytic trigonometry and solutions of triangles. Techniques of problem solving and applications are included throughout the course requiring the frequent usage of graphing utilities. Requires a non-graphing scientific calculator for some formal assessments and access to an online homework assessment.

Covers analytic geometry, functions and their graphs, algebraic and graphical solutions of equations and inequalities, graphs and zeros of polynomial functions, conic sections, linear and polynomial modeling, systems of equations and inequalities, sequences and series, and the Binomial Theorem. Includes techniques of problem solving and applications. Requires a non-graphing scientific calculator for some formal assessments and access to an online homework assessment.