#### Undergraduate Courses in Mathematics and Statistics (MTH or STA prefix)

**098. Fundamental Mathematics** - Computations and applications involving fractions, decimals, percent, ratio and proportion; properties of the real number system; linear equation solving; beginning algebraic concepts; geometry. Will not count toward any degree requirement including elective credit. May be required of students with a marginal background in mathematics.

**099. Intermediate Algebra** - Real number system, polynomials, exponents, radicals, first- and second-degree equations, inequalities, functions, graphs, systems of equations. Will not count toward any degree requirement including elective credit. May be required of students with a marginal background in mathematics.

**110. Math in Society - ** Provides an introduction to mathematical thinking emphasizing analysis of information for decision-making. Prerequisites: see General Course Prerequisites.

**127. Introduction to Mathematics for Elementary Teachers
(MATH 1350)** - Elementary concepts of sets and logic, numeration systems, number theory and properties of the natural numbers, integers, rational and real number systems with an emphasis on problem solving and critical thinking. Prerequisites: see General Course Prerequisites.

**128. Intermediate Mathematics for Elementary Teachers (MATH
1351)** -
Elementary concepts of geometry and measurement, probability, and statistics with an emphasis on problem solving and critical thinking. Prerequisite: MTH 127.

**129. Concepts and Applications ** - Problem solving and critical thinking skills applied to the study of a broad range of topics including number theory, sequences and series, recursion, data analysis, mathematical modeling and algebra including connections to the grades EC-4 classroom. Prerequisites: MTH 127 and 128.

**133. Plane Trigonometry (MATH 1316)** - Trigonometric functions of angles, radian measure, fundamental identities; addition, product, and half angle formulas, solution of triangles; polar coordinates; inverse trigonometric functions, complex numbers. May be required to have a graphics calculator. Prerequisites: See General Course Prerequisites.

**138. College Algebra (MATH 1314)** - Mathematical models; solving equations; creating, interpreting and graphing functions. Particular focus is given to polynomial, exponential and logarithmic functions. Prerequisites: See General Course Prerequisites.

**139. Plane Analytic Geometry (MATH 1348)** - A beginning course in plane analytic geometry including the straight line, the circle, parabola, hyperbola, and the transformation of coordinates. Students may be required to have a graphics calculator. Prerequisites: MTH 133 and 138 or the equivalent.

**140. Pre-calculus (MATH 2412) ** - 4 semester hours. Preparatory for the calculus sequence: properties and graphs of algebraic, exponential, logarithmic, and trigonometric (with inverses); fundamental trigonometric identities, conic sections, polar and rectangular coordinate systems. Prerequisites: See General Course prerequisites.

**143. Finite Mathematics (MATH 1324)** - Mathematical functions and graphs, linear systems of equations, matrices, linear programming, mathematics of finance; applications. Prerequisites: See General Course Prerequisites.

**144. Elements of Calculus with Applications for Business (MATH
1325)** -
Limits and continuity, the derivative, the anti-derivative, the definite integral; applications. Prerequisite: MTH 143.

**220. Introduction to Probability and Statistics (MATH 1342)** -
Probability, random variables, mean and variance, binomial distribution, normal distribution, statistical inference, and linear regression. Prerequisites: See General Course Prerequisites.

**233. Calculus I (MATH 2413)** - 4 semester hours. Limits, continuity, differential calculus of algebraic and transcendental functions with applications, basic antidifferentiation with substitution, definite integrals. Prerequisite: MTH 139 or MTH 140.

**234. Calculus II (MATH 2414)** - 4 semester hours. Applications and techniques of integration, improper integrals, infinite series and power series. Prerequisite: MTH 233.

**264. Elementary Topics in Mathematics and Statistics** - Elementary topics in scientific computing, algebra, number theory, applied mathematics, geometry, probability and statistics. May be repeated once for credit on a different topic. Does not count toward a major or minor in mathematics. Prerequisite: See General Course Prerequisites.

**275. Special Problems** - 1-3 semester hours. Individual in-depth study or research in special topics in mathematics, statistics, or mathematics education beyond the core mathematics curriculum. May be taken for honors credit. MTH 275.

**300. Foundations of Mathematics** - Set theory, relations, functions, mathematical structure, logic and proof. Includes historical connections. MTH 138 and 129.

**301. Concepts of Calculus** - Limiting processes and other concepts of calculus. Includes analysis of numerical approaches to problem solving using technology and appropriate software with historical and grades 4-8 classroom connections. Students will be required to have a graphing calculator. Prerequisite: MTH 300.

**302. Concepts in Geometry** - Survey of geometric topics with an emphasis on trigonometry and Euclidean geometry. Includes historical and grades 4-8 classroom connections. Prerequisite: MTH 300.

**305. Introduction to Numerical Methods** - Basic numerical and computational techniques used in the solution of mathematical problems in the real world: approximation of functions, roots and systems of equations, numerical integration, interpolation and curve-fitting, and machine computation. Prerequisites: MTH 234 and CSC 102 or equivalent.

**311. Introduction to Modern Mathematics** -
Introduction to logic, basic properties of sets, relations, functions, one-to-one functions, set equivalence, Cantor’s Theorem, countable and uncountable sets. Prerequisite: MTH 234.

**317. Linear Algebra** - Matrices, systems of linear equations, linear vector spaces, functions from Rn to Rm, determinants, eigenvalues and eigenvectors. Prerequisite: MTH 311 or 234 and consent of instructor.

**320. Statistical Methods** - (STA 320) Analysis of variance, regression analysis and nonparametric methods. The course will stress the use of computer packages MINITAB or SAS and the interpretation of the outputs. Prerequisite: MTH 220.

**321. Applied Nonparametric Statistics** -
(STA 321) Contingency table analysis, rank tests for one, two and many sample problems, rank correlation, introduction to nonparametric regression. Prerequisite: MTH 220.

**322. Statistical Modeling** - (STA 322)
Regression and model building, measure of model adequacy, transformations, prediction. Prerequisites: MTH 144 or MTH 233, and STA 320.

**327. Experimental Design and Analysis** - (STA 327) Analysis of variance, single factor completely randomized designs, blocking and Latin square designs. Multifactor experiments including factorial experiments, nested, blocked and split-plot designs, analysis of covariance. Quality control, acceptance sampling, reliability issues. SAS or other statistical software used throughout. Report writing, data driven problems and/or case studies incorporated throughout. Prerequisite: STA 320.

**333. Calculus III** - 4 semester hours. Vectors, vector operations, and vector functions; multivariate functions, partial derivatives, gradients, and multiple integrals; integration in vector fields, Green’s, Stokes’, and the Divergence theorems. Prerequisite: MTH 234.

**337. Differential Equations** - Solving of differential equations of physics, chemistry and engineering, and a study of the characteristics of the solutions. Prerequisite: MTH 333.

**345. Mathematics for the Secondary School Teacher** - A review of the major topics taught in secondary schools. Historical perspectives of mathematics, technology in the classroom, inductive versus deductive reasoning, careers in mathematics, and interrelationships among various branches of mathematics. Prerequisite: MTH 220 and MTH 451 or concurrent enrollment in MTH 451.

**351. College Geometry** - Survey of topics from classical Euclidean geometry, modern Euclidean geometry, projective geometry, transformational geometry and non-Euclidean geometries. Prerequisites: MTH 311.

**359. Probability Modeling** - Elementary probability laws, conditional probability, the language of random variables and stochastic processes, modeling with discrete and continuous probability distributions, applications

**360. ****Statistical Inference** - Covariance and correlation, sampling distributions, development and data analysis concerning one/two/many sample location tests and confidence intervals. Analysis of variance and simple linear regression, chi-squared tests for categorical data. Use of technology and/or statistical software throughout. Prerequisites: MTH 333 (or concurrent enrollment) and 359.

**412. Introduction to Algebraic Systems** - Introduction to the study of algebraic systems with particular emphasis on concrete examples of the basic algebraic structures, groups, rings, integral domains, and fields. Prerequisite: MTH 311 and MTH 317.

**415. Number Theory** - Properties of natural numbers. Unique factorization, residue solution of congruences, arithmetic functions, quadratic reciprocity law, distribution of primes. Diophantine equations, continued fractions, algebraic numbers. Prerequisite: MTH 311.

**439. Introduction to Analysis I ** - Elements of point set theory and an in-depth study of the basic ideas of sequences, limits, continuity and differentiability. Prerequisites: MTH 311 and 333.

**440. Introduction to Analysis II ** - Continuation of MTH 439 with topics in Taylor, Fourier and other special series, and an in-depth study of Riemann-Darboux Integration. Prerequisite: MTH 439.

**463. Seminar in Mathematics** - One, two or three conference hours per week. Student participation in general and specific topics in mathematics; separate section for mathematics teacher certification. May be repated for credit on a different seminar topic with departmental approval. Prerequisite: MTH 439 or concurrent enrollment.

**464. Advanced Topics in Undergraduate Mathematics and Statistics** -
1, 2, or 3 semester hours. Topics in abstract algebra, analysis, applied mathematics, geometry, probability and statistics, topology, or the teaching of mathematics. May be repeated once for credit on a different topic. Prerequisite: Consent of the instructor.

**475. Special Problems** - 1, 2, or 3 semester hours. Study and research for individual instruction of the undergraduate student. Not available for graduate credit. Prerequisite: 15 semester hours of mathematics and an overall minimum B average in college work completed.

**476. Special Problems** - 1, 2, or 3 semester hours. Same as 475 for credit in a different topic. Study and research for individual instruction of the undergraduate student. Not available for graduate credit. Prerequisites: 15 semester hours of mathematics and an overall minimum B average in college work completed.