Mathematics

Classes

MTH 098 : Elementary Algebra

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 course does not apply toward the general core requirement for mathematics.

 

Note:  Students who are required to take  MTH098 are also required to take MTH100C and MTH099C.

Credits

4

Prerequisites

None

MTH 099 : Support for Intermediate College Algebra

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

Credits

1

Prerequisites

Appropriate mathematics placement score (MTH 098 is not a pre-requisite for MTH 099)

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 introducing and graphed. This course does not apply toward the general core requirement for mathematics.

Credits

3

Prerequisites

MTH 098 Elementary Algebra or appropriate mathematics placement score

MTH 100C : Intermediate College Algebra

Intermediate College Algebra 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 introducing and graphed. This course does not apply toward the general core requirement for mathematics. MTH100C requires the MTH099 course.  

Credits

3

Prerequisites

MTH 098 Elementary Algebra or appropriate mathematics placement score

Corequisites

MTH 110 : Finite Mathematics

This course is intended to give an overview of topics in finite mathematics together with their applications and is taken primarily by students who are not majoring in science, engineering, commerce, or mathematics (i.e., students who are not required to take Calculus). This course will draw on and significantly enhance the student's arithmetic and algebraic skills. The course includes sets, counting, permutations, combinations, basic probability (including Baye's Theorem), and introduction to statistics (including work with Binomial Distributions and Normal Distributions), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications. 

Credits

3

Prerequisites

All core mathematics courses in Alabama must have as a minimum prerequisite high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score. An alternative to this is that the student should successfully pass with a C or higher (S if taken as pass/fail) Intermediate College Algebra.

MTH 112 : Precalculus Algebra

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.

Credits

3

Prerequisites

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

MTH 113 : Precalculus Trigonometry

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 productsum formulas.

Credits

3

Prerequisites

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

MTH 115 : Precalculus Algebra and Trigonometry

This course is a one-semester accelerated combination of Precalculus Algebra (MTH112) and Precalculus Trigonometry (MTH 113). This course is intended for students with a very strong background in college preparatory mathematics. The course covers the following topics: the algebra of functions (including polynomial, rational, exponential, and logarithmic functions) as well as the study of trigonometric (circular) functions and inverse trigonometric functions. The course includes extensive work with trigonometric identities, equations, and formulas, vectors, complex numbers, and polar graphs.

 

Credits

4

Prerequisites

For direct placement into MTH115, students must have earned an ACT math subscore of 20 or higher and a "C" or higher in a high school pre-calculus course.  Note: Students who have completed MTH112 with a "C" or better should enroll in MTH113. Students who have completed MTH 100 with an A or better may request from the division chair approval to enroll in MTH115.

MTH 116 : Mathematical Applications

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. 

Credits

3

Prerequisites

None.

MTH 120 : Calculus and Its Applications

This course is intended to give a broad overview of calculus. It includes 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, or linear programming.  

Credits

3

Prerequisites

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

MTH 125 : Calculus I

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.

Credits

4

Prerequisites

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

MTH 126 : Calculus II

This is the second of three courses in the basic calculus sequence. Topics include vectors in the plane and in space, lines and planes in space, applications of integration (such as volume, arc length, work, and average value), techniques of integration, infinite series, polar coordinates, and parametric equations.  

Credits

4

Prerequisites

Grade of C or higher in MTH 125

MTH 227 : Calculus III

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).  

Credits

4

Prerequisites

Grade of C or higher in MTH 126  

MTH 231 : Math for Elementary Teacher I

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 the 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. 

Credits

3

Prerequisites

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

MTH 232 : Math for the Elementary Teacher II

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.  

Credits

3

Prerequisites

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

MTH 237 : Linear Algebra

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. Additional topics may include inner product spaces and applications, QR decomposition, SVD, and systems of differential equations.

Credits

3

Prerequisites

Grade of C or higher in MTH 126 

MTH 238 : Applied Differential Equations I

This course is an introduction to techniques for solving differential equations with applications. Topics include definitions and terminology, initial value problems, differential equations as models, first order differential equations (separable equations, exact equations, linear equations using integrating factor, solutions by substitutions, systems of linear and nonlinear equations), second and higher order differential equations (homogenous and non-homogenous equations, reduction of order, homogenous linear equations with constant coefficients, undetermined coefficient, variation of parameters, Cauchy - Euler equation, systems of linear equations, nonlinear equations, spring/ mass systems, linear equations: boundary value problems), nonlinear equations - numerical solutions, power series solutions, solutions about ordinary points, solutions about singular points, Laplace transforms, and applications of Laplace transforms with possible optional topics of step functions, discontinuous forcing functions, and impulse functions.

Credits

3

Corequisites

MTH 265 : Elementary Statistics

This course provides an introduction to methods of statistics, including 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. 

Credits

3

Prerequisites

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

MTH 270 : Probability and Statistics Concepts

This course provides an examination of the theory and applications of probability and statistics based on topics from calculus. It includes probability, sample spaces, random variables, probability distributions, estimation, confidence intervals, hypothesis testing, experimental analysis, moments and moment generating functions, and computer-assisted data analysis using appropriate computer software.

Credits

3

Prerequisites

Corequisites