# Mathematics Courses

MAT 1005 INTRODUCTORY ALGEBRA (3 s.h.)

This is a preparatory course for further studies in mathematics. Basic algebra concepts are discussed. The following topics are covered in this course:  real numbers, algebraic expressions, linear equations, linear inequalities, graphing, linear functions, and applications.

Prerequisite: none
Offered: as needed

MAT 1015 INTERMEDIATE ALGEBRA (3 s.h.)

This is a preparatory course for further studies in mathematics. Basic algebra concepts are discussed. The following topics are covered in this course: exponents, polynomials, factoring, quadratic equations, rational expressions, radicals, and applications.

Prerequisite:  MAT 1005 or appropriate Math SAT/ACT score or passing a placement test or permission of the instructor.
Offered: fall and spring

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

This is a preparatory course for MAT 1050 College Algebra and the basic algebra concepts are discussed. The following topics are covered in this course: Real numbers, exponents, factoring, linear equations, linear inequalities, rational expressions, radicals, and applications.

Prerequisite: none
Offered: as needed

MAT 1050 COLLEGE ALGEBRA (3 s.h.)

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 1015 or MAT 1030 or an appropriate Math SAT/ACT score or passing a placement test
Offered: fall and spring

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. Students are required to earn a final grade of C or better.

Prerequisite: Appropriate SAT/ACT or placement score or MAT 1015 or MAT 1030 with a grade of C or better or enrolled in the Residency Licensure Program. (This course is to be taken by Elementary Education and Special Education Majors and does not fulfill the general core requirement in Mathematics.)
Offered: as needed

MAT 1100 FINITE MATHEMATICS (3 s.h.)

Functions, lines, sets, systems of equations, inequalities, matrices, linear programming, logic, mathematics of finance, probability, and statistics. The graphing calculator is required.

Prerequisite: MAT 1015 or MAT 1030 or an appropriate Math SAT/ACT score or passing a placement test
Offered: fall and spring

MAT 1125 INTEGRATED PRE-CALCULUS I (4 s.h.)

Review of basic concepts of algebra, Linear equations in one variable, quadratics equations, rational equations, equations involving radicals, equations with rational exponents, equations in quadratic form, inequalities, equations and inequalities involving absolute values, graphs and functions, polynomial and rational functions, exponential and logarithmic functions, and applications.

Prerequisites: Students majoring in Chemistry, Computer Science, Engineering, Economics, and Mathematics with (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 (2) passing a placement test or (3) permission of the instructor.
Offered: fall and spring

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

Linear equations in one variable, quadratics equations, rational equations, equations involving radicals, equations with rational exponents, equations in quadratic form, inequalities, equations and inequalities involving absolute values, graphs and functions, polynomial and rational functions, exponential and logarithmic functions, and applications.

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 (2) passing a placement test or (3) MAT 1050 or (4) permission of the instructor
Offered: fall and spring

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

Trigonometric functions, identities, conditional equations, inverse relations, DeMoivre’s theorem, polar coordinates, applications, and conic sections.

Prerequisite: MAT 1125 or MAT 1130 or passing a placement test or permission of the instructor
Offered: fall and spring

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. Students are required to earn a final grade of C or better.

Prerequisite: Appropriate SAT/ACT or placement score or MAT 1015 or MAT 1030 with a grade of C or better or enrolled in the Residency Licensure Program. (This course is to be taken by Elementary Education and Special Education Majors and does not fulfill the general core requirement in Mathematics.)
Offered: as needed

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.

Prerequisite: MAT 1050 or MAT 1100 or permission of the instructor
Offered: fall and spring

MAT 2310 CALCULUS I (3 s.h.)

Limits, derivatives, including sines and cosines, applications of the derivative, including maxima and minima, and curve sketching. Introduction to the Integral.

Prerequisite: MAT 1140 or passing a placement test, or permission of the instructor
Offered: fall and spring

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.

Prerequisite: MAT 2310 or permission of the instructor
Offered: fall and spring

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

Logic, sets, functions, algorithms, integers, matrices, and mathematical reasoning-methods of proof.

Prerequisite: MAT 1125 or MAT 1130, or permission of the instructor
Offered: spring

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

Elementary and advanced counting techniques, relations, graphs and digraphs, trees, Boolean algebra, and machines.

Prerequisite: MAT 2500 or permission of the instructor
Offered: fall

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
Offered: fall (of even calendar years)

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
Offered: spring (of odd calendar years)

MAT 3090 CALCULUS III (3 s.h.)

Infinite sequences and series, conic sections; and polar coordinates, vectors in the plane and in n-space.

Prerequisite: MAT 2320 or permission of the instructor
Offered: fall

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
Offered: spring

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
Offered: spring

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, MAT 3120, knowledge of a high-level language or permission of the instructor.
Cross-listed: CSC 3140, ISE 3140
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
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.
Offered: fall (of odd calendar years)

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
Offered: as needed

MAT 3300 OPERATIONS RESEARCH (3 s.h.)

Broad overview of deterministic and stochastic models in operations research. The student will learn to formulate, analyze, and solve mathematical models that represent real-world problems. Topics discussed include linear programming and the simplex algorithm, transportation, network, integer, and non-linear models (deterministic models), Markov chains, and queueing models (stochastic models). Some simulation will be included. Three hours of lecture each week.

Prerequisite: MAT 2320 and MAT 3120 or permission of instructor
Cross-listed: ISE 3300
Offered: spring

MAT 3845 TOPICS IN MATHEMATICS EDUCATION (3 s.h.)

Facilitates students’ understanding of how to promote mathematical literacy focusing on instructional strategies for promoting mathematics literacy with adaptions for diverse and exceptional learners. Topics include: error analysis, pedagogy of text structures (e.g., proofs, logic tables, and matrices); teaching mathematical writing; statistical techniques for analyzing student learning; and survey of research in mathematics education. This course requires 5 hours working in 6-12th grade mathematics classroom. If enrolled in 2510, 2420, 3420 no additional hours will be required. Students are required to earn a final grade of C or better.

Prerequisite: Formal acceptance to the Teacher Education Program is required for admission.
Cross-listed: EDU 3845
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
Offered: fall (of even calendar years)

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 and CSC 3250
Cross-listed: CSC 4120
Offered: as needed

MAT 4145 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. Students are required to earn a final grade of C or better.

Prerequisite: MAT 1140 or permission of the instructor
Cross-listed: EDU 4145
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 and MAT 3160 or permission of the instructor
Offered: spring (of even calendar years)

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
Offered: as needed

MAT 4800 SEMINAR IN MATHEMATICS (3 s.h.)

This is a course on problem-solving and communicating in mathematics. Students will study different strategies to solve various problems, explore mathematical ideas with the instructor and present these ideas to the faculty and students.

Prerequisites: MAT 3090 and MAT 3160 or permission of the instructor
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
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.

Prerequisite: Requires approval by the faculty advisor, the supervising professor, the department chair, and the school dean before approval by Provost. Credit to be determined

Offered: as needed