# Course Syllabi

"Syllabi" is the correct plural form of "Syllabus".

MAT 1140: Precalculus with Trigonometry [4 credit hours]

Course Description: Properties of real numbers, order and absolute value, complex numbers, scientific notation, factoring polynomials, linear and quadratic equations, systems of equations, linear inequalities, and graphing, exponential, logarithmic, and trigonometric functions, including identities, inverse trigonometric functions, and right triangle trigonometry.

Prerequisite: Algebra I, II; Geometry

MAT 2110: Applied Calculus [4 credit hours]

Course Description: An introduction to differential and integral calculus emphasizing applications to business and the life sciences. Topics covered will include limits, rules of differentiation, extreme value problems, curve sketching, exponential and logarithmic functions, techniques of integration, and area between curves. Includes a thorough review of high school algebra.

Prerequisite: Algebra II

MAT 2610: Calculus I [4 credit hours]

Course Description: A brief review of algebra and trigonometry; coordinate systems, analytical geometry, the derivative using the definition, limits, continuity, techniques of differentiation; Mean Value theorem and its application, Applications of differentiation to extreme value problems, curve sketching and related rates problems, the integral and its properties, applications of the integral for finding area under a curve, antiderivatives, the Fundamental Theorem of Calculus.

Prerequisite: Precalculus with Trigonometry

MAT 2620: Calculus II [4 credit hours]

Course Description: Further study of the integral, volume of a solid of revolution, length of a curve, area of a surface of revolution, work, moments, and centroids. Applications of differential and integral calculus to improper integrals, infinite series, polynomial approximations of functions, Taylor's Theorem, conics, polar coordinates, and vector analysis.

Prerequisite: Calculus I

MAT 3070: Analytical Geometry and Calculus III [3 credit hours]

Course Description: Applications of differential and integral calculus to improper integrals, infinite series, conics, polar coordinates, and vector analysis. Prerequisite: MAT 2520.

Prerequisite: Calculus II

MAT 3280: Introduction to Statistics [4 credit hours]

Course Description: An introduction to statistics (non-Calculus based). Frequency distributions; their graphic and tabular representations; measures of central tendency, of dispersion and of correlation; sampling; elementary probability theory; linear regression, the Central Limit Theorem.

Prerequisite: Algebra II

MAT 3380: Multivariable Calculus [4 credit hours]

Course Description: Applications of differential and integral calculus to vector-valued functions, partial derivative, multiple integrals, vector field analysis, line and surface integrals, Jacobian transformations, Green, Stokes, and Gauss Theorems.

Prerequisite: Calculus II

MAT 4110: Linear Algebra [4 credit hours]

Course Description: Topics covered include solutions of systems of linear equations, matrices, linear transformations, bases and linear independence, determinants, orthogonality, singular values, eigenvectors and eigenvalues, rank, geometric applications.

Prerequisite: Calculus II

MAT 4130: Differential Equations [4 credit hours]

Course Description: An introductory course in ordinary differential equations with applications. Topics covered include first and second order differential equations, power series solutions, Laplace transforms, linear systems, numerical methods, and linearization methods.

Prerequisite: Calculus II

MAT 4180: Probability Theory [4 credit hours]

Course Description: An introduction to Calculus-based Probability theory and statistics. Topics include distributions, Monte-Carlo methods, probabilities, Markov's Inequality, Chebyshev Theorem; discrete and continuous random variables, Central Limit Theorem.

Prerequisite: Multivariable Calculus