Mathematics Courses

Mathematics Courses

MAT 1030 INTRODUCTION TO COLLEGE MATHEMATICS (3 s.h.)

This is a preparatory course for MAT 1050 and the basic algebra concepts are discussed. The following topics are covered in this course: Real numbers, exponents, factoring, linear and quadratic equations, linear inequalities, rational expressions, radicals, and word problems. This course is offered every fall, spring, and summer semester.

MAT 1050 COLLEGE ALGEBRA (3 s.h.)

Real numbers, exponents, radicals, factoring, rational expressions, linear and quadratic equations/inequalities, equations with radicals, equations/inequalities with absolute values, applications, functions, graphing, exponential and logarithmic functions, and systems of equations. Prerequisite: MAT 1030 or an appropriate Math SAT/ACT score or passing a placement test. This course is offered every fall, spring, and summer semester. The graphing calculator is required.

MAT 1060 TOPICS IN ELEMENTARY MATHEMATICS I (3 s.h.)

This course is designed to acquaint prospective PK-8, vocational, and special education teachers with the structure of the real numbers system and its subsystems, properties, operations, and algorithms. Topics include problem solving, logic, number theory, mathematical operations over natural, integer, and rational numbers, and algebraic expressions. Prerequisite: Appropriate SAT/ACT or placement score or MAT 1030 with a grade of C- or better. (This course is to be taken by Elementary Education and Special Education majors and does not fulfill the general core requirement in Mathematics.) This course is offered every fall semester.

MAT 1100 FINITE MATHEMATICS (3 s.h.)

Functions, lines, sets, systems of equations, inequalities, matrices, linear programming, probability, and statistics. Prerequisite: MAT 1050 or permission of the instructor. This course is offered every fall, spring, and summer semester. The graphing calculator is required.

MAT 1130 PRE-CALCULUS I (3 s.h.)

Review of numbers and their properties, polynomials, rational expressions, rational exponents, radicals, equations in one variable, relations, functions, exponential, logarithmic functions. Prerequisites: (1) three years of secondary school mathematics, including two years of algebra and units in geometry and trigonometry, and an appropriate math SAT/ACT score or passing a placement test or (2) MAT 1050 or permission of the instructor. This course is offered every fall and summer semester. The graphing calculator is required.

MAT 1140 PRE-CALCULUS II (3 s.h.)

Trigonometric functions; identities; conditional equations; inverse relations; de Moivre’s Theorem; polar coordinates; sequences; series, and binomial theorem. Prerequisite: MAT 1130 or permission of the instructor. This course is offered every spring and summer semester. The graphing calculator is required.

MAT 2060 TOPICS IN ELEMENTARY MATHEMATICS II (3 s.h.)

A course designed to introduce problem-solving skills and heuristic instruction to prospective PK-8, vocational, and special education teachers. Topics include probability, statistics, geometry, and measurement. Prerequisite: Appropriate SAT/ACT or placement score or MAT 1030 with a grade of C- or better. (This course is to be taken by Elementary Education and Special Education majors and does not fulfill the general core requirement in Mathematics.) This course is offered every spring semester.

MAT 2200 APPLIED STATISTICS (3 s.h.)

An introductory course in Statistics with emphasis in Statistical inference to include elementary probability theory, elementary set theory, summation notation and continuing to “decision theory” through topics of sampling distributions, point estimation, confidence intervals for mean; variance; difference of population means, correlation, linear regression, tests of independence, homogeneity, goodness of fit and analysis of variance. The graphing calculator is required. Prerequisite: MAT 1050 or permission of the instructor. This course is offered during the fall and spring semesters.

MAT 2310 CALCULUS I (3 s.h.)

Review of the rectangular coordinate system; the straight line; graphs of equations; functions and limits; derivatives, including sines and cosines; applications of the derivative, including maxima and minima, and curve sketching. Introduction to the integral. The graphing calculator is required. Prerequisite: MAT 1140, passing a placement test, or permission of the instructor. This course is offered every fall semester.

MAT 2320 CALCULUS II (3 s.h.)

Applications of integration related to the area between two curves, volume, work, pressure, moments, centers of mass, arc length, and surfaces of revolution. Derivatives of logarithmic, exponential, and trigonometric functions; l’Hopital’s Rule; improper integrals; techniques of integration. The graphing calculator is required. Prerequisite: MAT 2310 or permission of the instructor. This course is offered every spring semester.

MAT 2500 DISCRETE MATHEMATICS I (3 s.h.)

Logic, sets, functions, algorithms, integers, matrices, mathematical reasoning—methods of proof, and elementary counting techniques. Prerequisite: MAT 1130 or permission of the instructor. This course is offered every spring semester.

MAT 2510 DISCRETE MATHEMATICS II (3 s.h.)

Advanced counting techniques, relations, graphs and digraphs, trees, Boolean algebra, and machines. Prerequisite: MAT 2500 or permission of the instructor. This course is offered every fall semester.

MAT 2600 TRANSITION TO ABSTRACT MATHEMATICS (3 s.h.)

Preparatory course for upper-level mathematics courses. Topics include logic and proofs, set theory, relations, functions, and cardinality. Prerequisite: MAT 2500 or permission of the instructor. This course is offered every fall semester.

MAT 3050 THE HISTORY OF MATHEMATICS (3 s.h.)

Mathematical thought from ancient to modern times, major theorems of mathematics, problems of different periods, and the context in which mathematics developed. Prerequisites: MAT 2320 and 2500, or permission of the instructor. This course is offered as needed.

MAT 3090 CALCULUS III (3 s.h.)

Infinite sequences and series, conic sections; and polar coordinates, vectors in the plane and in n-space. The graphing calculator is required. Prerequisite: MAT 2320 or permission of the instructor. This class is offered every fall semester.

MAT 3100 CALCULUS IV (3 s.h.)

Differentiation and integration of functions of several variables, parameterization of curves and surfaces, Green’s Theorem, Gauss’ Theorem, Stokes’ Theorem. Prerequisite: MAT 3090. This class is offered every spring semester.

MAT 3120 LINEAR ALGEBRA (3 s.h.)

Linear equations, matrices, determinants, vector spaces, linear independence, linear transformations, similarity of matrices, and characteristics of a matrix. Prerequisite: MAT 2320 or permission of the instructor. This course is offered as needed.

MAT 3140 NUMERICAL ANALYSIS (3 s.h.)

Error analysis, interpolation, numerical differentiation and integration, solutions of linear and non-linear systems of equations, and ordinary differential equations. Prerequisite: MAT 2320, 3120, and knowledge of a high-level language. Cross listed as CSC 3140. This course is offered as needed.

MAT 3150 MODERN COLLEGE GEOMETRY (3 s.h.)

Euclidean and non-Euclidean geometry. Useful to prospective secondary school mathematics teachers. Prerequisites: MAT 2320 and 2500 or permission of the instructor. This course is offered as needed.

MAT 3160 MODERN ALGEBRA (3 s.h.)

Basic properties of groups, rings, and fields, including elements of set theory and polynomials. Prerequisites: MAT 2320 and 2600 or permission of the instructor. This course is offered as needed.

MAT 3200 PROBABILITY AND STATISTICS (3 s.h.)

Probability and statistics, including probability distributions, random variables, stochastic processes, estimation of parameters, hypothesis testing, and regression analysis. Prerequisites: MAT 2200, 2320 and 2500 or permission of the instructor. This course is offered as needed.

MAT 4110 DIFFERENTIAL EQUATIONS (3 s.h.)

Ordinary differential equations of the first and second order with applications in geometry and physics. Prerequisite: MAT 3090 or permission of the instructor. This course is offered as needed.

MAT 4120 THEORY OF COMPUTABILITY (3 s.h.)

The concept of effective computability, Turing machines, primitive recursive functions, Godel numbering, universal Turing machines, and undecidable predicates. Prerequisites: MAT 2510, CSC 3250. Cross listed as CSC 4120. This course is offered as needed.

EDU 4140 METHODS OF TEACHING MATHEMATICS IN THE MIDDLE/SECONDARY SCHOOL (3 s.h.)

A combination of lecture and laboratory using materials and procedures appropriate for the teaching of middle/secondary school mathematics. For teachers of secondary school mathematics. See EDU 4110-4190. Prerequisite: MAT 1140. This course is offered as needed.

MAT 4140 ADVANCED CALCULUS I (3 s.h.)

Sets, functions, real numbers, limits, continuity, differentiation, integration, and sequences of functions. Prerequisite: MAT 3100 or permission of the instructor. This course is offered as needed.

MAT 4150 ADVANCED CALCULUS II (3 s.h.)

Fourier series; vector functions and their derivatives; line and surface integrals; multivariable calculus; implicit function theorem, and the theories of Gauss, Stokes, and Green. Prerequisite: MAT 4140. This course is offered as needed.

MAT 4850 SPECIAL TOPICS (1-4 s.h.)

Advanced students study logic and foundations, algebra, analysis, geometry, topology, or applied mathematics. Prerequisite: permission of the department chair. This course is offered as needed.

MAT 4990 INDEPENDENT STUDY IN MATHEMATICS (TBA)

An opportunity for a well-qualified, upper-division student to engage in special research in his/her major. Requires approval by the faculty advisor, the supervising professor, the department chair, and the school dean before approval by the Vice President for Academic Affairs. Credit to be determined.

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