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# MATHEMATICS (MTH)

**MTH 080. MATHEMATICS LABORATORY (0-1-1)**

This course is designed to offer supplemental help to students in mathematics. Students work in a laboratory situation under qualified instructors. This course may be repeated as needed. Emphasis is on arithmetic and algebra as determined by the individual need of the students. Non-degree creditable.

**MTH 090. BASIC MATHEMATICS (3-0-3)**

This is a developmental course reviewing arithmetical principles and computations designed to help the student's mathematical proficiency for selected curriculum entrance. Non-degree creditable.

MTH 091/092. DEVELOPMENTAL ALGEBRA I-II (4-0-4)

MTH 091/092. DEVELOPMENTAL ALGEBRA I-II (4-0-4)

**PREREQUISITE: MTH 090 or appropriate mathematics placement score.**

This sequence of developmental courses provides the student with a review of arithmetic and algebraic skills designed to provide sufficient mathematical proficiency necessary for entry into Intermediate College Algebra. Non-degree creditable.

**MTH 098. ELEMENTARY ALGEBRA (3-0-3)**

**PREREQUISITE: MTH 090**or appropriate mathematics placement score.

**COREQUISITE: MTH 080.**

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; and an introduction to systems of equations and graphs.

**MTH 100. INTERMEDIATE COLLEGE ALGEBRA (3-0-3)**

PREREQUISITE: MTH 092, 098, or appropriate mathematics placement score.

PREREQUISITE: MTH 092, 098, or appropriate mathematics placement score.

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

**MTH 103. INTRODUCTION TO TECHNICAL MATHEMATICS (3-0-3)**

PREREQUISITE: MTH 092, 098, or appropriate mathematics placement score.

PREREQUISITE: MTH 092, 098, or appropriate mathematics placement score.

This course is designed for the student in technology needing simple arithmetic, algebraic, and right triangle trigonometric skills.

**MTH 110. FINITE MATHEMATICS (3-0-3)**

PREREQUISITES: All core mathematics courses in Alabama

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. 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.

**MTH 112. PRECALCULUS ALGEBRA (3-0-3)**

PREREQUISITES: All core mathematics courses in Alabama

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 C or higher (S if taken as pass/fail) Intermediate College Algebra. 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.

**MTH 113. PRECALCULUS TRIGONOMETRY (3-0-3)**

PREREQUISITES: A minimum prerequisite of high school

PREREQUISITES: 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 (S if taken as pass/fail) MTH 112. 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.

**MTH 115. PRECALCULUS ALGEBRA AND**

TRIGONOMETRY (4-0-4)

PREREQUISITES: A minimum prerequisite of high school

TRIGONOMETRY (4-0-4)

PREREQUISITES: 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 (S if taken as pass/fail) MTH 100 and receive permission from the department chairperson. 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 extensive work with trigonometric identities and trigonometric equations, vectors, complex numbers, DeMoivre’s Theorem, and polar coordinates.

**MTH 116. MATHEMATICAL APPLICATIONS (3-0-3)**

PREREQUISITE: MTH 090 or appropriate mathematics placement score. .

PREREQUISITE: MTH 090 or appropriate mathematics placement score. .

This course provides practical applications of mathematics and includes selected topics from consumer math and algebra. Some topics included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving.

**MTH 120. CALCULUS AND ITS APPLICATIONS (3-0-3)**

PREREQUISITES: A minimum prerequisite of high school

PREREQUISITES: 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. 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’Hopital’s Rule, and multiple integration

(including applications).

**MTH 125. CALCULUS I (4-0-4)**

PREREQUISITES: A minimum prerequisite of high school

PREREQUISITES: 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 115. 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.

**MTH 126. CALCULUS II (4-0-4)**

PREREQUISITES: A minimum prerequisite of high school

PREREQUISITES: 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 125. 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

**MTH 227. CALCULUS III (4-0-4)**

PREREQUISITE: MTH 126.

PREREQUISITE: MTH 126.

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.

**MTH 231. MATH FOR THE ELEMENTARY TEACHER I (3-0-3)**

PREREQUISITE: As required by program.

PREREQUISITE: As required by program.

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.

**MTH 232. MATH FOR THE ELEMENTARY TEACHER II (3-0-3)**

PREREQUISITE: MTH 231.

PREREQUISITE: MTH 231.

This course is the second of a three-course sequence and 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 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.

**MTH 237. LINEAR ALGEBRA (3-0-3)**

PREREQUISITE: MTH 126.

PREREQUISITE: MTH 126.

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.

**MTH 238. APPLIED DIFFERENTIAL EQUATIONS I (3-0-3)**

COREQUISITE: MTH 227.

COREQUISITE: MTH 227.

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 (general theory, undetermined 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.

**MTH 265. ELEMENTARY STATISTICS (3-0-3)**

PREREQUISITE: MTH 100 or appropriate mathematics placement score.

PREREQUISITE: MTH 100 or appropriate mathematics placement score.

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, estimation, and applications. Probability, permutations, combinations, binomial theorem, random variables, and distributions may be included.

**MATHEMATICS—CAREER AND TECHNICAL (MAH) MAH 101. INTRODUCTORY MATHEMATICS I (2-2-3)**

PREREQUISITE: Satisfactory placement score.

PREREQUISITE: Satisfactory placement score.

This course is a comprehensive review of arithmetic with basic algebra designed to meet the needs of certificate and diploma programs. Topics include business and industry related arithmetic and geometric skills used in measurement, ratio and proportion, exponents and roots, applications of percent, linear equations, formulas, and statistics. Upon completion, students should be able to solve practical problems in their specific occupational areas of study. Non-degree creditable.