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Mathematics Course Descriptions

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MATH 050 College Math Preparation (1-3)

Review of addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; ratio, proportion, and percent; addition, subtraction, multiplication, and division of integers, polynomials, and rational expressions; solving first-degree equations; and factoring. Course is designed to help students prepare for the mathematics placement test and for college mathematics courses. Credit not applicable toward graduation. Graded pass/fail. (Offered as needed)

MATH 051 Review of Basic Mathematics (3)

Arithmetic principles of whole and decimal numbers, common fractions, rounding, primes and factors, least common denominator, percent, measures, ratio, proportion, real number system, literal expressions, and solving linear equations. Five lectures per week. Credit not applicable toward graduation. Graded pass/fail. (Fall Semester)

MATH 052 Introductory Algebra (3)

Prerequisite: MATH 051 or placement test. Review of literal expressions and solving linear equations, solving and graphing equations and inequalities, operations on polynomials, factoring, rational expressions, systems of equations in two variables, exponents and scientific notation, rational exponents, radical expressions, and quadratic equations. Five lectures per week. Credit not applicable toward graduation. Graded pass/fail. (Fall and Spring Semesters)

MATH 110 Probability and Statistics (4)

Prerequisite: MATH 052, 30th percentile on ACT or SAT mathematics, or placement test. Descriptive statistics, elementary probability, Venn diagrams, discrete random variables, binomial and normal distributions. Inferential statistics, sampling tests of hypotheses, regression, correlations, analysis of variance, chi-square analysis. (Fall and Spring Semesters)

MATH 115 Survey of Mathematics (4)

Prerequisite: MATH 052, 30th percentile on ACT or SAT mathematics, or placement test. This is a general course especially suited for nonmathematics and nonscience majors, including students majoring in liberal arts or education. This course is required for elementary education majors. Topics include introduction to problem solving, sets, functions and logic, numeration systems, Real Number System, consumer mathematics, geometry and the metric system, and an introduction to computers. (Spring Semester)

MATH 120 College Algebra and Trigonometry (4)

Prerequisite: MATH 052, 30th percentile on ACT or SAT mathematics, or placement test. Linear equations and their graphs, inequalities, systems of equations, polynomial functions, fractional equations, powers and roots, quadratic functions and their graphs, exponential, logarithmic, trigonometric, and inverse trigonometric functions; and introduction to trigonometric identities. Credit for this course does not apply toward a major or minor in mathematics but does apply toward the General Education math/science requirements. (Fall and Spring Semesters)

MATH 126 Precalculus (4)

Prerequisite: MATH 120 with a minimum grade of "C" or placement test. Relations, functions, transformation, inverse functions, systems of linear and quadratic equations. Exponential, logarithmic, and circular functions. Credit for this course does not apply toward a major or minor in mathematics but does apply toward the general education math/science requirements. Five lectures per week. (Fall Semester)

MATH 129 Elementary Number Theory (4)

Prerequisite: Permission of instructor. Topics in number theory. Divisibility, unique factorization, linear congruences, Chinese remainder theorem, Fermat's theorem, Wilson's theorem, and Euler's theorem. (Fall Semester)

MATH 151 Contemporary Calculus I (4)

Prerequisite: MATH 126 with a minimum grade of "C" or placement test. Intuitive limits, derivatives, graphing, maximum/minimum problems, antiderivatives, definite integrals, area, applications to natural and social science. Five lectures per week. (Spring Semester)

MATH 252 Contemporary Calculus II (4)

Prerequisite: MATH 151 with a minimum grade of "C". Applications and techniques of integration, limits, continuity, series, ordinary differential equations, mean value theorem. Five lectures per week. (Fall Semester)

MATH 260 Multivariable Calculus (4)

Prerequisite: MATH 252 with a minimum grade of "C". Vectors in n-space, curves and surfaces, partial derivatives, gradient, directional derivatives, line integrals, multiple integrals, Green's theorem, divergence and rotation, surface integrals, curl and divergence, divergence theorem. Stokes' theorem, maximum and minimum, generalized Taylor's formula. (Spring Semester)

MATH 280 Discrete Structures (3)

Corequisite: MATH 126 or equivalent. Introduction to and applications of discrete structures, including elementary topics in set theory, recursion, matrices, relations, relational algebra, trees, and grammars. (Fall Semester)

MATH 288 Elementary Linear Algebra (4)

Prerequisite: Precalculus proficiency on math placement test, MATH 126, or concurrent registration in Math 126. Systems of linear equations, matrices, determinants, vectors and vector arithmetic, general vector spaces, bases and dimensions, linear transformations and their matrices, change of bases, similarity, eigenvalues and eigenvectors, diagonalization. (Spring Semester)

MATH 294 Topics in Mathematics (1-4)

Topics of interest to students and instructor will be explored. (Offered as needed)

MATH 295 Independent Study in Mathematics (1-3)

Study on an independent basis in collaboration with the instructor on a topic in mathematics at the lower division level. (Offered as needed)

MATH 311; 312 Axiomatics: Logic and Geometry (3; 3)

Prerequisites: CPTR 150 and MATH 129 or MATH 280. First semester: Propositional and predicate logic, including both syntax (formal language specification and proof methods) and semantics (models and truth-value assignments); elementary computer applications including Boolean algebra and introduction to Prolog. Second semester: Axiomatic approach to Euclidean and non-Euclidean geometries, including hyperbolic geometry and the models proposed by Lobachevsky, Klein, and Poincare; philosophical exploration of the relationship between mathematical theories and reality. MATH 311 is cross-listed as CPTR 311. Credit may be earned for only one department listing. (Fall Semester odd years; Spring Semester even years)

MATH 319 Differential Equations (3)

Prerequisite: MATH 260. MATH 288 recommended. Elementary methods for solving first order and linear second order differential equations. Series solutions, Laplace transform methods, systems of differential equations, and numerical methods. Applications. (Fall Semester odd years)

MATH 320 Complex Variables (3)

Prerequisite: MATH 252. Complex numbers, analytic functions, mapping properties of the elementary functions, the Cauchy integral formula, theory of residues and application, and conformal mapping. (Spring Semester even years)

MATH 331; 332 Real Analysis and Topology (3; 3)

Prerequisite: MATH 252. Basic properties of the real number system, rigorous treatment of series, limits, differentiation and integration, metric spaces, continuity, compactness, point-set topology. (Fall Semester odd years; Spring Semester even years)

MATH 360 Introduction to Numerical Analysis (3)

Prerequisites: CPTR 230 and MATH 252. Numerical methods for solving equations of one variable, interpolation and polynomial approximation, numerical differentiation and integration, ordinary differential equations, least squares approximation, computer errors, and advanced technical computing features. Cross-listed as CPTR 360. Credit may be earned for only one department listing. (Spring Semester odd years)

MATH 370 Mathematical Statistics (3)

Prerequisite: MATH 151. Probability, moment generating functions and probability distributions, sampling theory, random variables, statistical inference, regression and correlation, analysis of variance. (Spring Semester odd years)

MATH 410 Groups and Rings (4)

Prerequisite: MATH 129 with a minimum grade of "C". Groups and quotient groups, homomorphisms, the fundamental homomorphism theorem, rings and quotient rings, integral domains, fields, polynomials, unique factorization. (Fall Semester even years)

MATH 494 Topics in Mathematics (1-3)

Prerequisite: Permission of the instructor. Abstract algebra, advanced discrete structures, operations research, game theory, graph theory, set theory, history of mathematics, or other topics of interest to students and instructor. May be repeated for credit. (Offered as needed)

MATH 495 Independent Study in Mathematics (1-3)

Study on an independent basis in collaboration with the instructor on a topic in mathematics at the upper division level. (Offered as needed)