MTH 090. BASIC MATHEMATICS (3 credits)
PREREQUISITE: Compass Placement Score of 0-36.
This is a developmental course reviewing arithmetical principles and computations designed to help the student's mathematical proficiency for selected curriculum entrance.
MTH 098. ELEMENTARY ALGEBRA (3 credits)
PREREQUISITE: MTH 090 or Compass Placement Score of 0-29.
This course is a review of the fundamental arithmetic and algebra operations. The topics include the numbers of ordinary arithmetic and their properties, integer 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 credits)
PREREQUISITE: MTH 098, ACT score of 20, or Compass Placement Score of 30-42.
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.
Mathematics Index Top
MTH 110. FINITE MATHEMATICS (3 credits)
PREREQUISITE: All core mathematics courses in Alabama must have as a minimum prerequisite high school Algebra I, Geometry, and Algebra II with a Compass Placement Score of 43-59 and ACT score of 22. 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 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 credits)
PREREQUISITE: All core mathematics courses in Alabama must have as a minimum prerequisite high school Algebra I, Geometry, and Algebra II with a Compass Placement Score of 43-59 and ACT score of 24. An alternative to this is that the student should successfully pass with "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, Cramer's Rule, and mathematical induction.
Mathematics Index Top
MTH 113. PRECALCULUS TRIGONOMETRY (3 credits)
PREREQUISITE: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with a Compass Placement Score of 60-100 is required. 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, DeMovre's Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems.
MTH 116. MATHEMATICAL APPLICATIONS (3 credits)
PREREQUISITE: MATH 090 or Compass Placement Score of 37 or above A.A.S. degree only.
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 A.A.S. degree and does not meet the general core requirement for mathematics.
MTH 125. CALCULUS I (4 credits)
PREREQUISITE: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II, and Trigonometry with a Compass Placement Score in trigonometry of 40-100 is required. An alternative to this is that the student should successfully pass 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 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 credits)
PREREQUISITE: 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.
Mathematics Index Top
MTH 227. CALCULUS III (4 credits)
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 237. LINEAR ALGEBRA (3 credits)
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 credits)
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.
Mathematics Index Top
