### MAH 101: Introductory Mathematics I

Satisfactory placement score This course does not satisfy the general education components for a degree. NAC

Mathematics

Prerequisites

Satisfactory placement score This course does not satisfy the general education components for a degree. NAC

Prerequisites

Appropriate mathematics placement.

This Learning Support course provides co-requisite support in mathematics for students enrolled in MTH 100. The material covered in this course is parallel to and supportive of the material taught in MTH 100. Emphasis is placed on providing students with additional academic and noncognitive support with the goal of success in the students’ paired MTH 100 class. This course does not apply toward the general core requirement for mathematics.

Prerequisites

Appropriate mathematics placement score or MTH 098 Elementary Algebra. (Note that MTH 099 is required for students completing MTH 098 Elementary Algebra.)

Corequisites

MTH 100 Intermediate College Algebra

This course provides a study of algebraic concepts such as laws of exponents, polynomial operations, factoring polynomials, radical and rational expressions and equations and quadratic equations. Functions and relations are introduced and graphed. This course does not apply toward the general core requirement for mathematics.

Prerequisites

MTH 098 Elementary Algebra or appropriate mathematics placement score.

Corequisites

MTH 099 Support for Intermediate College Algebra, if required. (Note that MTH 099 is required for students completing MTH 098 Elementary Algebra.)

This Learning Support course provides co-requisite support in mathematics for students enrolled in MTH 110. The material covered in this course is parallel to and supportive of the material taught in MTH 110. Emphasis is placed on providing students with additional academic and noncognitive support with the goal of success in the students’ paired MTH 110 class. This course does not apply toward the general core requirement for mathematics.

Prerequisites

Appropriate mathematics placement score or MTH 098 Elementary Algebra. (Note that MTH 109 is required for students moving directly from MTH 098 to MTH 110).

Co-Requisite Courses

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

Prerequisites

Grade of C or higher in MTH 098 Elementary Algebra or appropriate mathematics placement score.

Corequisites

MTH 109 Support for Finite Mathematics OR other mandatory support, if required. (Note that MTH 109 or other mandatory support is required for students completing MTH 098 Elementary Algebra.)

This Learning Support course provides co-requisite support in mathematics for students enrolled in MTH 112. The material covered in this course is parallel to and supportive of the material taught in MTH 112. Emphasis is placed on providing students with additional academic and noncognitive support with the goal of success in the students’ paired MTH 112 class. This course does not apply toward the general core requirement for mathematics.

Prerequisites

Appropriate mathematics placement score or MTH 100 Intermediate College Algebra.

Corequisites

MTH 112 Precalculus Algebra

Program

Prerequisites

Successful completion of MTH 100 Intermediate College Algebra with a grade of C or higher or appropriate placement

Co-Requisite Courses

Corequisites

If required

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

Prerequisites

Grade of C or higher in MTH 112 or appropriate placement scores

Program

This course is a one-semester accelerated combination of Precalculus Algebra (MTH 112) and Precalculus Trigonometry (MTH 113). This course 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) as well as the study of trigonometric functions and inverse trigonometric functions. This course also includes extensive work with trigonometric identities, equations, and formulas; vectors; complex numbers; and polar graphs.

Prerequisites

As determined by college but may be no less than a C or higher in MTH 100 and permission from the department chairperson. The student should have successfully passed with a "C" or higher in MTH 100 (Intermediate College Algebra) or have attained the appropriate mathematics placement score. Any student not meeting the prerequisites for this class may be administratively withdrawn. It is the students' responsibility to make sure that all prerequisites are met. Placement Score: ACT minimum of 22 on Math portion, ACCUPLACER Next-Generation QAS 267-300 or placement based on ACCS/GSCC Math Readiness Guidelines.

This course provides practical applications of mathematics and includes selected topics from consumer math, algebra, and geometry. The course covers integers, percent, interest, ratio and proportion, measurement systems, linear equations, and problem solving. NOTE: This course will not satisfy the Alabama Transfers higher math requirement.

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.

Prerequisites

Grade of C or higher in MTH 112, 113, or 115 or appropriate placement score.

This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering, and mathematics. 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.

Prerequisites

Grade of C or higher in MTH 113 or 115 or appropriate placement score.

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

Prerequisites

Grade of C or higher in MTH 125

Prerequisites

Appropriate mathematics placement score.

Prerequisites

A grade of "C" or higher (S if taken as pass/fail) in MTH 131 (Mathematics in General Education I) or

appropriate mathematics placement score. CORE

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).

Prerequisites

Grade of C or higher in MTH 126

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.

Prerequisites

Grade of C or higher in MTH 126

This course is an introduction to techniques for solving differential equations with applications. Topics include solving first order differential equations, applications to various models (e.g. populations, motion, chemical mixtures, etc.), solving higher order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order and the method of variation of parameters, and Laplace transform). Series solutions and solutions to systems are also covered.

Corequisites

MTH 227 (Calculus III)

This course provides an introduction to methods of statistics 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.

Prerequisites

Grade of C or higher in MTH 100 or appropriate placement score