**MATH 1314. College Algebra (3-3-0) Core Area 020**

Prerequisite: Meets TSI college-readiness algebraic intensive standard for Mathematics, or equivalent.

In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions and systems of equations using matrices. Additional topics such as sequences, series, probability and conics may be included.

**MATH 1324. Mathematics for Business and Social Sciences (3-3-0) Core Area 020**

Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.

The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.

**MATH 1325. Calculus for Business and Social Sciences (3-3-0) Core Area 020**

Prerequisite: MATH 1314 College Algebra or MATH 1324 Mathematics for Business and Social Sciences, or equivalent.

This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics and social sciences. This course is not a substitute for MATH 2413, Calculus I.

**MATH 1332. Contemporary Mathematics (Quantitative Reasoning) (3-3-0) Core Area 020**

Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.

Intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded through the course. Additional topics may be covered.

**MATH 1342. Elementary Statistical Methods (3-3-0) Core Area 020**

Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.

Collection, analysis, presentation and interpretation of data, and probability. Analysis includes

descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended

**MATH 1350. Mathematics for Teachers I (Fundamentals of Mathematics I) (3-3-0) Core Area 090**

Prerequisite: MATH 1314 or the equivalent

This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the conceptual development of the following: sets, functions, numeration systems, number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking.

**MATH 1351. Mathematics for Teachers II (Fundamentals of Mathematics II) (3-3-0) Core Area 090**

Prerequisite: MATH 1350.

This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.

**MATH 2312. Pre-calculus Math (3-3-0) Core Area 020**

Prerequisite: MATH 1314 or the equivalent preparation.

In-depth combined study of algebra, trigonometry and other topics for calculus readiness.

**MATH 2413. Calculus I (4-4-0) Core Area 090**

Prerequisite: Math 2312 Pre-Calculus Math or equivalent preparation

Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.

**MATH 2414. Calculus II (4-4-0) Core Area 090**

Prerequisite: Math 2413 or equivalent.

Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.

**MATH 2415. Calculus III (4-5-0) Core Area 090**

Prerequisite: Math 2414 or equivalent.

Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green’s Theorem, the Divergence Theorem and Stokes’ Theorem.

**MATH 2318. Linear Algebra (3-4-0) Core Area 090**

Prerequisite: MATH 2414 Calculus II

Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvector; and applications in science and engineering.

**MATH 2320. Differential Equations (3-3-0) Core Area 090**

Prerequisite: MATH 2414 Calculus II

Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods and boundary value problems; application of differential equations to real-world problems.