# Course Prerequisites

Below you may find the details about the prerequisites for each Distance Calculus course.

Distance Calculus @ requires that student applicants to the program submit an academic transcript demonstrating satisfaction of the prerequisite course prior to enrollment. [Note: To complete enrollment in a Distance Calculus course, an unofficial academic transcript is sufficient; an official must be ordered from your previous academic institution and sent to prior to completion of your course.]

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 Course: Algebra I, II; Geometry
Algebra I, II; Geometry
• Prequisite Course Description:
High school level: Algebra II

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 Course: Algebra II
Algebra II
• Prequisite Course Description:
High School Level 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 Course: Precalculus with Trigonometry
Course Equivalent: MAT 1140: Precalculus with Trigonometry
• Prequisite 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.

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 Course: Calculus I
Course Equivalent: MAT 2610: Calculus I
• Prequisite 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.

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 Course: Algebra II
Algebra II
• Prequisite Course Description:
High School Level 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 Course: Calculus II
Course Equivalent: MAT 2620: Calculus II
• Prequisite 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.

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 Course: Calculus II
Course Equivalent: MAT 2620: Calculus II
• Prequisite 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.

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 Course: Calculus II
Course Equivalent: MAT 2620: Calculus II
• Prequisite 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.

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 Course: Multivariable Calculus
Course Equivalent: MAT 3380: Multivariable Calculus
• Prequisite 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.