Undergraduate Course Descriptions

MAT 090 Developmental Mathematics (3)
Basic arithmetic skills review and strong concentration on beginning algebra. Open only to Development Educational Program students.

MAT 099 Intermediate Algebra (3) (CC 1233)
Required of all entering freshmen with a substandard ACT mathematics score. Does not satisfy any university core or degree requirements. Meets 300 contact minutes per week.

MAT 101 College Algebra (3) (CC1313)
Polynomials, factoring, functions and graphs, linear and quadratic equations and inequalities. Prerequisites; Two years of high school algebra or MAT 099.

MAT 101E Explorations in College Algebra (3) (CC1313)
Polynomials, factoring, functions, and graphs, linear and quadratic equations and inequalities. Taught using technology and group projects. Prerequisites: Two years of high school algebra or MAT 099.

MAT 102* Brief Applied Calculus (3) (CC 1333, 1423, 1513)
An introduction to calculus and it’s applications to the management, social and behavioral sciences, and other fields. Prerequisite: MAT 101.

MAT 103 Plane Trigonometry (3) (CC 1323)
Trigonometric functions and their inverses, trigonometric identities and equations, solutions of triangles, logarithms. Prerequisite: Two years of high school algebra or the equivalent.

MAT 128 Precalculus Mathematics (3)
Functions, analytic geometry, sequences, series, mathematical induction. Prerequisite: High school trigonometry.

The above courses are open only to freshmen. Other students desiring to take these courses must have approval from the chair of the Department of Mathematics. Only two of the following can be taken for credit: MAT 101, MAT 103, and MAT 128.

MAT 136 Applied Calculus for Engineering Technology I (3)
Plane analytic geometry, differentiation and integration with applications to curvilinear motion, related rates, curve sketching and areas. A student who receives credit for any other calculus course cannot use this course to satisfy any degree requirements in the College of Science and Technology. Prerequisite: High school trigonometry.

MAT 137 Applied Calculus for Engineering Technology II (3)
Continuation of techniques of differentiation and integration. Areas, volumes, centroids, moments of inertia, and an introduction to first and second order differential equations. A student who receives credit for MAT 168 or 169 cannot use this course to satisfy any degree requirements in the College of Science and Technology. Prerequisite: MAT 136.

MAT 167 Calculus I with Analytic Geometry (3) (CC 1613)
Limits, continuity, derivatives and their applications including curve sketching and optimization. Prerequisite: High school trigonometry.

MAT 168 Calculus II with Analytic Geometry (3) (CC 1623)
Definite and indefinite integrals, integration techniques, application of integrals, improper integrals and L’Hopital’s rule. Prerequisite: MAT 167.

MAT 169 Calculus III with Analytic Geometry (3) (CC 2613)
Sequences, series including Taylor series and power series, parametric equations and polar coordinates in calculus, vectors and the geometry of space. Prerequisite: MAT 168.

MAT 210* Mathematics for Elementary Teachers I (3) (CC 1723)
Problem solving, logic, sets, whole numbers, and whole number arithmetic. Open only to elementary and special education majors. Prerequisite: MAT 101.

MAT 220 Explorations in the Mathematics Classroom (1)
Ten hours of secondary classroom observations together with five hours of seminar under the direction of a mathematics faculty member.

MAT 280 Multivariable Calculus (3) (CC 2623)
Calculus of vector valued functions including tangent and normal rectors, partial derivatives and applications, multiple integrals and applications. Prerequisite: MAT 169.

MAT 285 Introduction to Differential Equations I (3)
Linear ordinary differential equations with applications, and Laplace transforms. Corequisite: MAT 280.

MAT 305 Mathematical Computing I (3)
Introduction to a computer algebra system using calculusbased projects. Students will solve mathematical problems in the MAPLE environment which require an understanding of calculus concepts. Prerequisite: MAT 280.

MAT 308 Mathematics for Early Childhood Education (3)
Problem solving, ordering, comparing, classifying, numberless, money, time, measurement, and geometry. Open only to elementary and special education majors. Prerequisite: MAT 210.

MAT 309 Mathematics for Elementary Teachers II (3)
Integers, rational numbers, structure of the real numbers, ratios, percents, proportions, problem solving, statistics and probability. Open only to elementary and special education majors. Prerequisite: MAT 210.

MAT 310* Mathematics for Elementary Teachers III (3)
Basic concepts of 2-dimensional and 3-dimensional geometry, motion geometry, and measurement. Open only to elementary and special education majors.Prerequisite: MAT 210.

MAT 312* Applied Calculus for Business and Social Sciences (3)
Elementary functions, differential and integral calculus with applications. A student who receives credit for any other calculus course cannot use this course to satisfy any degree requirements in the College of Science and Technology. Prerequisite: MAT 102.

MAT 314 Calculus for the Arts and Sciences (3)
An introduction to functions, graphs, continuity, differential and integral calculus, with applications to the arts and life sciences. A student who receives credit for any other calculus course cannot use this course to satisfy any degree requirements in the College of Science and Technology. Prerequisite: High school trigonometry.

MAT 320 Probability and Mathematical Statistics I (3)
Discrete distributions, random variables, independence, moment generating functions, continuous distributions, and multivariate distributions. Prerequisite: MAT 169, 326, and 340.

MAT 326 Linear Algebra I (3)
Vector spaces, systems of linear equations, linear transformations, matrices, and inner products.

MAT 340 Discrete Mathematics (3)
Logic, set theory, and selected topics from algebra, combinatorics, and graph theory.

MAT 370 Introductory Geometry (3)
Introduction to the pedagogy of elementary Euclidean geometry and formulas related to two and three-dimensional space. (Open only to those students preparing to teach mathematics in grades 7-12.) Prerequisite: MAT 326 and 340.

MAT 410 Mathematics for Teachers of Junior High School Mathematics (3)
The real number system and major subsystems, introduction to algebra, informal geometry, consumer mathematics and introduction to BASIC programming. Open only to elementary and special education majors.

MAT 415 Introduction to Differential Equations II (3)
Systems of linear differential equations, operator methods, approximating solutions, Laplace transforms, and power series. Prerequisite: MAT 285, 326, and 340.

MAT 417 Introduction to Partial Differential Equations (3)
Integrability conditions, quasilinear equations, applications of physics, classification of second order equations and canonical forms, and separation of variables. Prerequisite: MAT 285, 326, and 340.

MAT 418* Linear Programming (3)
Convex sets, linear inequalities, extreme-point solutions, simplex procedure, and applications. Prerequisite: MAT 326 and 340.

MAT 419* Optimization in Mathematical Programming (3)
Selected topics in optimization from linear and nonlinear programming. Prerequisites: MAT 280 and 418.

MAT 420 Probability and Mathematical Statistics II (3)
Central limit theorem, estimation, and hypothesis tests. Prerequisites: MAT 320.

MAT 421 Number Theory (3)
Induction, well-ordering, division algorithm, Euclidean algorithm, Fundamental Theorem of Arithmetic, number theoretic functions, and congruences. Prerequisite: MAT 326 and 340.

MAT 423 Modern Algebra I (3)
Elementary notions in groups, Fundamental Theorem of Finitely Generated Groups, permutation groups, quotient groups, isomorphism theorems, and applications of transformation groups. Prerequisite: MAT 326 and 340.

MAT 424 Modern Algebra II (3)
Survey of standard algebraic systems; rings, integral domains, fields, modules, polynomial rings, and fields of quotients. Prerequisite: MAT 423.

MAT 426 Linear Algebra II (3)
Determinants; polynomials; complex numbers; single linear transformations; orthogonal, unitary and symmetric linear transformations. Prerequisite: MAT 326 and 340.

MAT 430 Advanced Engineering Mathematics I (3)
Introduction to Laplace transforms and Fourier series with emphasis on solving ordinary and simple partial differential equations. Does not count as an upper-level mathematics elective. Prerequisites: MAT 280 and 285.

MAT 431 Advanced Engineering Mathematics II (3)
Vector calculus and an introduction to complex variables with emphasis on integral theorems and integration. Does not count as an upper-level mathematics elective. Prerequisite: MAT 430.

MAT 436 Theory of Functions of a Complex Variable I (3)
Complex numbers and functions, limits, continuity, differentiation, analytic functions, branches, contour integration, and series. Prerequisite: MAT 280, 326, and 340.

MAT 437 Graph Theory (3)
An introduction to graphs and a sampling of their numerous and diverse applications. Prerequisite: MAT 326 and 340.

MAT 439 Combinatorics (3)
Counting and enumeration techniques, inversion formulas and their applications, and counting schemata relative to permutations of objects. Prerequisites: MAT 169, 326, and 340.

MAT 441 Advanced Calculus I (3)
Point set theory, sequences, continuity, uniform continuity, limits, mean value theorems, and L’Hospital’s rule. Prerequisites: MAT 280, 326, and 340.

MAT 442 Advanced Calculus II (3)
Riemann integration, Taylor’s theorem, improper integrals, infinite series, and uniform convergence. Prerequisite: MAT 441.

MAT 457 Methods in Mathematics-Secondary (3)
A course designed to give the students a knowledge of the objectives, curriculum problems, and organization and methods of teaching secondary school mathematics. Does not count as an upper-level mathematics elective. Prerequisites: CIS 313, MAT 280, 285, 326, and 340, PSY 374.

MAT 457L Methods in Mathematics-Secondary Laboratory (1)
A practicum with a minimum of 15 contact hours in a school setting. Does not count as an upper-level mathematics elective. Corequisite: MAT 457.

MAT 460* Numerical Analysis I (3)
Methods of solving equations and systems of equations, error analysis, and difference equations. Prerequisites: MAT 280, 326, and knowledge of a programming language.

MAT 461* Numerical Analysis II (3)
Interpolating polynomials, numerical differentiation and integration, numerical solutions of differential equations, and roundoff error. Prerequisites: MAT 285 and 460.

MAT 472 Modern Geometry (3)
Heuristic and analytic treatment of a branch of modern geometry, such as projective or differential geometry. Prerequisites: MAT 280, 326, and 340.

MAT 475 General Topology (3)
General topological spaces, bases and subbases, and continuity. Prerequisites: MAT 169, 326, and 340.

MAT 481 History of Mathematics (3)
The history of mathematics from antiquity through the 17th century. Also offered as HUM 481. Does not count as an upper-level mathematics elective. Prerequisites: MAT 167.

MAT 485 Mathematical Modeling (3)
An introduction to mathematical modeling using case studies. Projects and presentations are required. Prerequisites: MAT 280, 285, 326, and a programming language.

MAT 489 Student Teaching in Mathematics I (7)
Prerequisite: Approval of the director of student teaching. Corequisite: MAT 490.

MAT 490 Student Teaching in Mathematics II (7)
Prerequisite: Approval of the director of student teaching. Corequisite: MAT 489.

MAT 492 Special Problems I, II (1-3)
Prerequisite: Approval of department chair. Students undertaking a Senior Honors Project will enroll in MAT H492.

MAT 494 Undergraduate Mathematics Seminars I, II (1)
Prerequisite: Consent of instructor. Topics of current interest.

*Students will use University computers and appropriate software as a part of course requirements.