# Mathematics (MATH)

**MATH 91**

**Special Topics**

**(1-4 V)**

Special topics are offered to students in areas where regular course offerings are not available. This course does not count toward graduation. Prerequisite: Satisfactory placement exam score. (*) Repeatable (99).

**MATH 96**

**College Prep Math 1**

**3(3-0)**

Operations with real numbers. Solving and graphing linear equations with applications. Polynomial addition, subtraction, multiplication and division. This course does not count toward graduation. Prerequisite: Satisfactory placement exam score. (F, S)

**MATH 97**

**College Prep Math 2**

**3(3-0)**

Factoring polynomials, solving polynomial equations. Rational expressions and equations with applications. Inequalities and absolute value. Quadratic functions with applications. This course does not count towards graduation. Prerequisite: Satisfactory placement exam score or MATH 096 or equivalent. (F, S)

**MATH 98**

**Introductory Algebra**

**4(4-0)**

Review of elementary algebraic operations including factoring and operations with fractions. Introduction to graphing, including graphs of lines. Solutions to linear and quadratic equations. This course does not count toward graduation. Prerequisite: Satisfactory placement exam score. (F, S)

**MATH 99**

**Intermediate Algebra**

**4(4-0)**

A course designed to broaden and deepen algebraic problem-solving skills. Topics include systems of equations, exponents, radicals, complex numbers, quadratic equations, factoring polynomials, function notation and graphs (This course does not count toward graduation. Prerequisite: Satisfactory placement exam score or MATH 098 or equivalent. (F, S)

**MATH 101**

**Introductory College Mathematics**

**3(3-0)**

Solving systems of linear equations. Introduction to functions. Operations with radical expressions. Solving radical equations. Exponential and logarithmic functions with applications. Prerequisite: Satisfactory placement exam score or MATH 097 or equivalent. (F, S)

**MATH 109**

**Mathematical Explorations**

**3(3-0)**

Emphasis on quantitative reasoning and problem solving. Topics chosen from: logic, sets, algebra, linear programming, probability, statistics, number theory, geometry, voting theory and graph theory. Prerequisite: Satisfactory placement exam score or MATH 099 or Math 097 or equivalent. (F, S) (Gen Ed: M, GT-MA1)

**MATH 118**

**SAI for College Algebra**

**2(2-0)**

**MATH 119**

**College Algebra With SAI**

**4(4-0)**

Applications of algebraic techniques to study polynomial, rational, exponential and logarithmic functions; functions concepts are emphasized and exploited to analyze and solve applied problems. Prerequisite: Satisfactory placement score (ACT 19-21) and first-time, fulltime student status. Corequisite: Concurrent enrollment in MATH 118. (F) (Gen Ed: M)

**MATH 120**

**Pre-Calculus Algebra**

**3(3-0)**

Solutions of algebraic equations, graphs of rational functions, exponential and logarithmic functions. Prerequisite: Satisfactory placement exam score or Math 101 or equivalent. (F, S)

**MATH 121**

**College Algebra**

**4(4-0)**

Solutions of algebraic equations, graphs of rational functions, exponential and logarithmic functions, and systems of equations. Prerequisite: Satisfactory placement exam score or MATH 099 or equivalent. (F, S, SS) (Gen Ed: M, GT-MA1)

**MATH 122**

**College Trigonometry**

**3(3-0)**

Trigonometric and circular functions, identities, inverse functions, vectors, complex numbers. Prerequisite: MATH 121 or equivalent. (*)

**MATH 124**

**Pre-calculus Math**

**5(5-0)**

**MATH 126**

**Calculus and Analytic Geometry I**

**5(5-0)**

Introduction to limits, continuity, differentiation and integration with selected applications. Prerequisite: Satisfactory placement exam score or MATH 124 or equivalent. (F, S) (Gen Ed: M, GT-MA1)

**MATH 156**

**Introduction to Statistics**

**3(3-0)**

Introduction to data analysis. Binomial and normal models. Sample statistics, confidence intervals, hypothesis tests, linear regression and correlation, and chisquare tests. Prerequisite: Satisfactory placement exam score or MATH 099 or Math 101 or equivalent. (F, S) (Gen Ed: M, GT-MA1)

**MATH 191**

**Special Topics**

**(1-5 V)**

Special topics suitable for entry level math students. Available in S/U grading. Prerequisite: Permission of instructor or approval of the department chair. (*) Repeatable (99).

**MATH 207**

**Matrix and Vector Algebra with Applications**

**3(3-0)**

Systems of equations, matrices, inverses, determinants, eigenvalues and eigenvectors, scalar and cross-product, selected applications. Prerequisite: MATH 124 (F, S)

**MATH 220**

**Quantitative Analysis for Business**

**4(4-0)**

An introduction to quantitative methods required for business studies, including linear programming, probablity and statistics. Prerequisite: Satisfactory placement exam score or MATH 121 or Math 101 or equivalent. (F, S)

**MATH 221**

**Applied Calc: An Intuitive Approach**

**4(4-0)**

**MATH 224**

**Calculus and Analytic Geometry II**

**5(5-0)**

Differentiation and integration of transcendental functions, infinite sequences and series, parametric curves, and applications. Prerequisite: MATH 126. (F, S)

**MATH 242**

**Introduction to Computation**

**4(3-2)**

Computer programming and computation with applications. Loops, conditionals, data types and structores, I/O, functions debugging, testing, and documentation. Numerical, graphical, symbolic computation issues and projects. Prerequisite: MATH 126. (S)

**MATH 291**

**Special Topics**

**(1-5 V)**

Special Topics. Prerequisite: Permission of instructor and approval of the department chair. (*) Repeatable (99).

**MATH 295**

**Independent Study**

**(1-5 V)**

Independent Study. Prerequisite: Permission of instructor. (*) Repeatable (99).

**MATH 307**

**Introduction to Linear Algebra**

**4(4-0)**

**MATH 319**

**Number Theory**

**3(3-0)**

Divisibility, prime numbers, linear congruences, multiplicative functions, cryptology, primitive roots, and quadratic residues. Prerequisite: MATH 224. (F)

**MATH 320**

**Introductory Discrete Mathematics**

**3(3-0)**

Introduction to discrete structures with emphasis on logic and proof. Topics selected from graph theory, boolean algebra, combinatorics, binary relations, set theory, functions and sequences. Prerequisite: A grade of C or better in MATH 224. (*)

**MATH 325**

**Intermediate Calculus**

**4(4-0)**

**MATH 330**

**Introduction to Higher Geometry**

**3(3-0)**

Euclidean, hyperbolic, finite, and transformation geometries, models, and constructions. Prerequisite: MATH 224 or permission of instructor. (S)

**MATH 337**

**Differential Equations I**

**3(3-0)**

First order differential equations, homogeneous and non-homogenous linear differential equations, introduction to the Laplace transform, applications. Prerequisite: MATH 224 or equivalent. (F, S)

**MATH 338**

**Differential Equations II**

**3(3-0)**

**MATH 342**

**Introduction to Numerical Analysis**

**3(3-0)**

Numerical solutions of polynomial, differential, integral, and other equations using the computer. Prerequisite: MATH 224 and a programming language, or permission of instructor. (*)

**MATH 345**

**Algorithms and Data Structures**

**4(3-2)**

**MATH 350**

**Probability**

**3(3-0)**

Introduction to probability theory and stochastic processes. Probability spaces, random variables and their distributions, exponential and Poisson processes, limit theorems and applications. Prerequisite: MATH 325. (F)

**MATH 356**

**Statistics for Engineers and Scientists**

**3(3-0)**

Calculus-based introduction to statistical methods. Sampling distributions, hypothesis testing, linear regression, design of experiments using ANOVA. Data analysis with Minitab. Prerequisite: MATH 350. (S)

**MATH 360**

**Elementary Mathematics Concepts I**

**3(3-0)**

Development of the real number system and related concepts, including sets, numeration systems, whole numbers, integers, number theory and algorithms. Recommended MATH 109. Prerequisite: Satisfactory placement score. (F)

**MATH 361**

**Elementary Mathematics Concepts II**

**3(3-0)**

Conceptual development of fractions, rational numbers, geometry, measurement, probability and statistics. Prerequisite: MATH 360 and satisfactory placement score. (S)

**MATH 362**

**Problem Solving for K-6 Teachers**

**3(3-0)**

This course focuses on the process of mathematical problem solving. Students will develop and implement useful heuristics, and reflect on problem solving strategies. Prerequisite: MATH 361 and satisfactory placement score. (F, S)

**MATH 411**

**Introduction to Topology**

**3(3-0)**

**MATH 421**

**Introduction to Analysis**

**4(4-0)**

An introductory course in real analysis providing a rigorous development of the concepts of elementary calculus. Prerequisite: MATH 307 and three approved upper division MATH courses. (F)

**MATH 425**

**Complex Variables**

**3(3-0)**

An introduction to complex function theory. Complex numbers, sequences and series, the calculus of complex functions, analytic functions, and conformal mappings. Prerequisite: MATH 325. (*)

**MATH 427**

**Abstract Algebra**

**4(4-0)**

Introduction to groups, rings and fields and their elementary properties. Prerequisite: MATH 307 and three approved upper division MATH courses. (S)

**MATH 445**

**Discrete Mathematics**

**3(3-0)**

**MATH 463**

**History of Mathematics**

**3(3-0)**

**MATH 477**

**Methods for Teaching Secondary Math**

**4(3-2)**

Topics and issues in secondary mathematics education, including materials development, learning theories, instructional and assessment strategies, curriculum, planning and standards. Sixty hours field experience required. Prerequisite: Acceptance into Teacher Education Program and MATH 307 or MATH 320. (F, E)

**MATH 480**

**Tutoring Practicum**

**(1-2 V)**

Participation in tutoring mathematics in the MLC under the guidance of the MLC Director. Prerequisite: MATH 224 and permission of MLC Director. (F, S, SS) Repeatable (2).

**MATH 491**

**Special Topics**

**(1-3 V)**

Special Topics. Prerequisite: Permission of instructor. (*) Repeatable (99).

**MATH 492**

**Research**

**(1-3 V)**

Research project selected by student and supervised by a regular mathematics faculty member. Prerequisite: Department approval. (*) Repeatable (99).

**MATH 493**

**Seminar**

**(1-3 V)**

Seminar. Prerequisite: Senior standing and permission of instructor. (*) Repeatable (99).

**MATH 495**

**Independent Study**

**(1-3 V)**

Independent Study. Prerequisite: Senior standing and permission of instructor. (*) Repeatable (99).

**MATH 498**

**Internship**

**(1-6 V)**

Work experience using the discipline of mathematics under the direction of the selected organization and a faculty member. Prerequisite: Junior or senior standing and permission of the department chair. (*) Repeatable (99).

**MATH 501**

**Foundations of Mathematics**

**3(3-0)**

Sets, logic, axiomatics, mappings and the various sub-systems of the reals for beginning graduate students. Prerequisite: Permission of instructor. (*)

**MATH 507**

**Linear Algebra**

**3(3-0)**

Vector spaces, linear transformations, matrix representation, canonical form. Prerequisite: Permission of instructor. (*)

**MATH 521**

**Intermediate Analysis**

**3(3-0)**

Point set theory, including the Bolzano-Weierstrass and the Heine-Borel theorems, theory of differentiation and Riemann integration, and sequences and series of functions. Prerequisite: Permission of instructor. (*)

**MATH 527**

**Abstract Algebra**

**3(3-0)**

Groups, rings, integral domains, quotient rings, ideals, fields, homomorphisms and related topics. Prerequisite: Permission of instructor. (*)

**MATH 530**

**Advanced Geometry**

**3(3-0)**

Foundations of geometry, geometric transformations, and applications. Prerequisite: Permission of instructor. (*)

**MATH 550**

**Statistical Methods**

**3(3-0)**

Statistical modeling as a framework for the analysis of experimental data. Emphasis on use of statistical software. Regression, ANOVA, variance components, and chisquare tests. Prerequisite: MATH 156 or equivalent within the last five years. (*)

**MATH 556**

**(EN 556)**

**Design and Analysis Of Experiments**

**3(3-0)**

Foundations of experimental design, outline efficient methods to implement experiments, develop statistical methods to sort signal from noise, analysis of variance and response surface models. Prerequisite: Permission of instructor. (*)

**MATH 577**

**Concepts in Secondary School Mathematics**

**(1-4 V)**

Problems of teaching secondary school mathematics; the slow learner, methods, gifted students, evaluation. Prerequisite: Permission of instructor. (*)

**MATH 591**

**Special Topics**

**(1-3 V)**

Special Topics. (*) Repeatable (99).

**MATH 595**

**Independent Study**

**(1-2 V)**

Independent Study. (*) Repeatable (99).

**MATH 598**

**Graduate Internship**

**(1-4 V)**

Volunteer or paid work experience under the combined supervision of the selected organization and a faculty member. Prerequisite: Graduate standing. (*) Repeatable (99).

**MATH 599**

**Thesis Research**

**(1-6 V)**

Thesis Research. Prerequisite: Graduate student status. (*) Repeatable (99).