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# Mathematics Course Information

**MAH 101 Introductory Mathematics I 3 **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.

**MTH 090 Basic Mathematics**

**(Institutional Credit only) ****3 **This is a developmental course reviewing arithmetical principles and computations designed to help the students mathematical proficiency in selected curriculum entrance.

**MTH 098 Elementary Algebra**

**(Institutional Credit only) ****3 **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; and an introduction of systems of equations and graphs.

**MTH 100 Intermediate College Algebra ****3 **Prerequisite: MTH 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 requirements for mathematics

.

**MTH 110 Finite Mathematics ****3** 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

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 students 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.

**MTH 112 Precalculus Algebra**** 3 **Prerequisite: A minimum prerequisite of 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 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, Cramers rule, and mathematical induction.

**MTH 113 Precalculus Trigonometry ****3** Prerequisite: A minimum prerequisite of 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.

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, DeMoiverss Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems.

**MTH 116 Mathematical Applications **** 3 **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 types included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving.

**MTH 125 Calculus I**

**4 **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 isthat the student should successfullyass with a C or higher MTH 113 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 of area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maxi-mum and minimum problems, and curve sketching using calculus.

**MTH 126 Calculus II ****4 **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 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 **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), quadratic surfaces, multiple integration, and vector calculus (including Greens Theorem, Curl and Divergence, surface integrals, and Stokes Theorem).

**MTH 238 Applied Differential Equations I ****3 **Corequisite: MTH 227

An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equation 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 on higher order; the Laplace transform as a tool for the solution of initial value problems whose inhomogeneous terms are discontinuous.

**MTH 246 Mathematics of Finance ****3 **Prerequisite: Appropriate mathematics placement score

This course explores mathematical applications relevant to business practices. Types covered include simple and compound interest, credits, trade and bank discounts, annuities, amortization, depreciation, stocks and bonds, insurance, capitalization, and perpetuities.