#### Mathematics (MTH)

**MTH 090 Basic Mathematics**

3 institutional semester hours

Prerequisite: None

This developmental course reviews basic arithmetic principles and terminology, operations involving real numbers, algebraic expressions and applications, linear equations and inequalities. (F, Sp, Su)

**MTH 098 Elementary Algebra**

3 institutional semester hours

Prerequisite: MTH 090 or appropriate mathematics placement score

This course is a review of the fundamental arithmetic and algebra operations. The topics include the numbers of ordinary arithmetic and their properties, integers and rational numbers; the solving of equations; polynomials and factoring; systems of equations; operations with algebraic fractions and graphs of linear equations in two variables. (F, Sp, Su)

**MTH 100 Intermediate College Algebra**

3 semester hours

Prerequisite: MTH 098 or appropriate mathematics placement score

AMTH A116

This course provides a study of algebraic techniques such as linear equations and inequalities, quadratic equations, systems of equations, and operations with exponents and radicals. Functions and relations are introduced and graphed with special emphasis on linear and quadric functions. This course does not apply toward the AGSC core requirement for mathematics. (F, Sp, Su)

**MTH 110 Finite Mathematics**

3 semester hours

Prerequisite: 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 Intermediate College Algebra (MTH 100).

Core Area III, AMTH A116 TMTH

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 Bayes’ 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. (F, Sp, Su)

**MTH 112 Precalculus Algebra**

3 semester hours

Prerequisite: 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 Intermediate College Algebra (MTH 100).

Core Area III, AMTH A116 TMTH

This course emphasizes the algebra of functions – including polynomial, rational, exponential, and logarithmic functions. The course also covers systems of equations and inequalities, quadratic inequalities, and the binomial theorem. Additional topics may include matrices, Cramer’s rule, and mathematical induction. (F, Sp, Su)

**MTH 113 Precalculus Trigonometry**

3 semester hours

Prerequisite: 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 MTH 112.

Core Area III, AMTH A116 TMTH

This course includes the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations. The course also covers vectors, complex

numbers, DeMoivre’s theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. (F, Sp, Su)

**MTH 115S Precalculus Algebra and Trigonometry**

4 semester hours

Prerequisite: 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 MTH 100 and receive permission from the department chairperson.

Core Area III, AMTH TMTH A116

This course is a one semester combination of Precalculus Algebra and Precalculus Trigonometry intended for superior students. The course covers the following topics: the algebra of functions (including polynomial, rational, exponential, and logarithmic functions), systems of equations and inequalities, quadratic inequalities, and the binomial theorem, as well as the study of trigonometric (circular functions) and inverse trigonometric functions, and includes trigonometric equations, vectors, complex numbers, DeMoivre’s theorem, and polar coordinates. (as needed)

**MTH 116 Mathematical Applications**

3 semester hours

Prerequisite: MTH 090 or appropriate mathematics placement score

Code C A116

This course provides practical applications of mathematics and includes selected topics from consumer math and algebra. Some types included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving. This is a terminal course designed for students seeking an associate in applied science degree and does not meet the general core requirement for mathematics. (F, Sp, Su)

**MTH 118 Technical Mathematics**

3 semester hours

Prerequisite: MTH 100 “C” or higher or appropriate mathematics placement score

AMTH A116

This course includes selected topics from algebra, analytic geometry, and trigonometry with emphasis on applications to engineering technology. Topics include variation, determinants, conic sections, exponential and logarithmic functions, and solutions of right triangles. This course does not apply toward the AGSC core requirement for mathematics. (as needed)

**MTH 120 Calculus and its Applications**

3 semester hours

Prerequisite: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a “C” or higher MTH 112.

Core Area III AMTH A116 TMTH

This course is intended to give a broad overview of calculus and is taken primarily by students majoring in commerce and business administration. It includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course should include functions of several variables, partial derivatives (including applications), Lagrange multipliers, L’HÃ´pital’s rule, and multiple integration (including applications). (F, Sp, Su)

**MTH 125S Calculus I**

4 semester hours

Prerequisite: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a “C” or higher MTH 113 or

**MTH 115S.**

Core Area III AMTH A116 TMTH

This course 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. (F, Sp, Su)

**MTH 126S Calculus II**

4 semester hours

Prerequisite: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a “C” or higher MTH 125S.

Core Area III, AMTH A116 TMTH

This course 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 equation. (F, Sp, Su)

**MTH 227 Calculus III**

4 semester hours

Prerequisite: MTH 126S

Core Area III, AMTH A116 TMTH

This course 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). (Sp, Su)

**MTH 231 Math for the Elementary Teacher I**

3 semester hours

Prerequisite: MTH 098 or appropriate mathematics placement score

A116

This course is designed to provide appropriate insights into mathematics for students majoring in elementary education and to ensure that students going into elementary education are more than proficient at performing basic arithmetic operations. Topics include logic, sets and functions, operations and properties of whole numbers and integers including number theory; use of manipulatives by teachers to demonstrate abstract concepts; and by students while learning these abstract concepts as emphasized in the class. Upon completion, students are required to demonstrate proficiency in each topic studied as well as to learn teaching techniques that are grade level and subject matter appropriate, and test for mathematical proficiency and the learning of teaching concepts. (on demand)

**MTH 232 Math for the Elementary Teacher II**

3 semester hours

Prerequisite: MTH 231 A116

This course is designed to provide appropriate insights into mathematics for students majoring in elementary education and to ensure that students going into elementary education are more than proficient at performing basic arithmetic operations. Topics include numeration skills with fractions, decimals and percentages, elementary concepts of probability and statistics, and analytic geometry concepts associated with linear equations and inequalities. The use of manipulatives and calculators in the teaching and learning process is stressed. Upon completion, students will test for mathematical proficiency and the learning of teaching concepts. Students also will demonstrate an appropriate teaching technique by preparing a lesson and teaching it to the class for their final exam grade. (on demand)

**MTH 237 Linear Algebra**

3 semester hours

Prerequisite: MTH 126S

Core Area III, AMTH A116 TMTH

This course introduces the basic theory of linear equations and matrices, real vector spaces, bases and dimension, linear transformations and matrices, determinants, eigenvalues and eigenvectors, inner product spaces, and the diagonalization of symmetric matrices. Additional topics may include quadratic forms and the use of matrix methods to solve systems of linear differential equations. (on demand)

**MTH 238 Applied Differential Equations I**

3 semester hours

Corequisite: MTH 227

Core Area III, AMTH A116 TMTH

An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equations analytically, and applications to various models (e.g. populations, motion, chemical mixtures, etc.); techniques for solving higher order linear differential equations with constant coefficients, reduction of order and the method of variation of parameters), with emphasis on interpreting the behavior of the solutions, and applications to physical models whose governing equations are of higher order; the Laplace transform as a tool for the solution of initial value problems whose inhomogeneous terms are discontinuous. (Sp)

**MTH 250 Discrete Mathematics**

3 semester hours

Corequisite: MTH 126S AMTH A116

This course provides an introduction to combinatorics and graph theory. Topics include sets, logic, relations and function, mathematical induction, algorithmic processes, recurrence regulations, counting techniques, asymptotic growth, Boolean algebra, graphs, and network algorithms. (on demand)

**MTH 265 Elementary Statistics**

3 semester hours

Prerequisite: MTH 100 or appropriate mathematics placement score

AMTH A116

This course provides an introduction to methods of statistics, including the following topics: sampling, frequency distributions, measures of central tendency, graphic representation, reliability, hypothesis testing, confidence intervals, analysis, regression analysis, estimation, and applications. Probability, permutations, combinations, binomial theorem, random variable, and distributions may be included. (F, Sp, Su)

**MTH 270 Probability and Statistics Concepts**

3 semester hours

Corequisite: MTH 126S AMTH A116

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, hypotheses testing, experimental analysis, moments and moment-generating functions, and computer-assisted data analysis using appropriate computer software. (on demand)