### MTH 098: ELEMENTARY ALGEBRA

Appropriate placement score in mathematics.

Mathematics

Class Program

This course provides a study of the fundamentals of algebra. Topics include the real number system, linear equations and inequalities, graphing linear equations and inequalities in two variables and systems of equations. This is a hybrid course. This course produces institutional, non-transferable credit only and will not satisfy the requirements for degrees and certificates.

Prerequisites

Appropriate placement score in mathematics.

Class Program

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 to facilitate success in the paired MTH 100 class. This course produces institutional, non-transferable credit only and will not satisfy the requirements for degrees and certificates.

Prerequisites

MTH 098 with a minimum grade of C or appropriate placement score in mathematics.

Corequisites

MTH 100

Class Program

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 produces institutional, non-transferable credit only and will not satisfy the requirements for Associate in Science degrees.

Prerequisites

Appropriate placement score.

Class Program

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 produces institutional, non-transferable credit only and will not satisfy the requirements for Associate in Science degrees.

Prerequisites

MTH 098 with a minimum grade of C or appropriate placement score.

Corequisites

MTH 099. (MTH 099 is required for students who completed MTH 098).

Class Program

This course is intended for students who are not majoring in science, engineering, commerce, or mathematics (i.e., students who are not required to take calculus). It provides a foundation in thinking quantitatively. An emphasis is placed on real-world applications. Topics include mathematical reasoning, data interpretation, problem-solving strategies, equation solving, number sense, probability, counting principles, geometric applications, and measurement.

Prerequisites

Appropriate placement score in mathematics.

Class Program

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 to facilitate success in the paired MTH 110 class. This course produces institutional, non-transferable credit only and will not satisfy the requirements for degrees and certificates.

Prerequisites

MTH 100 with a minimum grade of C or appropriate placement score in mathematics.

Corequisites

MTH 110

Class Program

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). This course introduces logic, set theory, counting techniques, basic probability, statistics, and personal finance.

Prerequisites

MTH 108 with a minimum grade of C.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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). This course introduces logic, set theory, counting techniques, basic probability, statistics, and personal finance.

Prerequisites

MTH 098 with a minimum grade of C or appropriate placement score.

Corequisites

MTH 109. (MTH 109 is required for students who completed MTH 098).

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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 to facilitate success in the paired MTH 112 class. This course produces institutional, non-transferable credit only and will not satisfy the requirements for degrees and certificates.

Prerequisites

MTH 100 with a minimum grade of C or appropriate placement score.

Corequisites

MTH 112

Class Program

This course emphasizes the algebra of functions - including polynomial, rational, exponential, and logarithmic functions. In addition, the course covers non-linear inequalities as well as systems of linear and non-linear equations and inequalities.

Prerequisites

MTH 100 with a minimum grade of C or higher or appropriate placement score.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

This course emphasizes the algebra of functions - including polynomial, rational, exponential, and logarithmic functions. In addition, the course covers non-linear inequalities as well as systems of linear and non-linear equations and inequalities.

Prerequisites

MTH 100 with a minimum grade of C or higher or appropriate placement score.

Corequisites

MTH 111.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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

MTH 112 with a minimum grade of C or appropriate placement score.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class 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

MTH 100 with a minimum grade of C or appropriate placement scores and permission from the department chair.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

This course provides practical applications of mathematics and includes selected topics from consumer math, algebra, and geometry. This course covers integers, percent, interest, ratio, and proportion, measurement systems, linear equations and problem solving. This course produces institutional, non-transferable credit only and will not satisfy the requirements for Associate in Science degrees.

Class Program

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. The course may also include Lagrange Multipliers, extrema of functions of two variables, method of least squares, linear approximation, and linear programming.

Prerequisites

MTH 112, MTH 113, or MTH 115 with a minimum grade of C or appropriate placement score.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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

MTH 113 or MTH 115 with a minimum grade of C or appropriate placement score.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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

MTH 125 with a minimum grade of C.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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

MTH 126 with a minimum grade of C.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

This course is designed to develop a deeper understanding of elementary school mathematics content needed for teaching. The course is designed to develop conceptual understanding of number systems and operations by focusing on basic concepts and principles, exploring multiple representations and strategies, and illuminating connections among concepts and procedures. Topics include whole numbers and integers, fractions, ratio, percent, decimals, and arithmetic operations within these systems.

Prerequisites

MTH 100 or MTH 108 with a minimum grade of C or appropriate placement score.

Class Program

This course is designed to provide mathematical insights into measurement and geometry for students majoring in elementary education. Topics include geometric shapes (two- and three-dimensional), measurement, congruence and similarity, symmetry and transformations.

Prerequisites

MTH 100 or MTH 108 with a minimum grade of C or appropriate placement score.

Class Program

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

MTH 126 with a minimum grade of C.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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.

Co-Requisite Courses

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program

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

MTH 100 or MTH 108 with a minimum grade of C or appropriate placement score.

Notes

Part of the Alabama General Studies Curricula for Areas I-IV.

Class Program