# 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)

Student-centered instruction to review basic academic skills for students to be successful in MATH 119 College Algebra. Prerequisite: Satisfactory placement score (ACT 19-21) and first-time, fulltime student status. Corequisite: Concurrent enrollment in MATH 119. (F)

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)

Polynomial, rational, exponential and logarithmic functions; solution of systems of equations; trigonometric, circular and certain special functions. Prerequisite: Satisfactory placement exam score or MATH 121 or MATH 120 (college algebra) or equivalent. (F, S) (Gen Ed: M, GT-MA1)

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)

Non-rigorous introduction to calculus with emphasis on applications and modeling in the life sciences, social and behavioral sciences and business. Prerequisite: Satisfactory placement exam score or MATH 121 or MATH 120 (college algebra) or equivalent. (F, S) (Gen Ed: M, GT-MA1)

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)

A rigorous development of vector spaces and linear transformations. Prerequisite: MATH 224 and MATH 325 or 207. (F)

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)

Continuation of MATH 224. Vector valued functions and multivariable calculus. Prerequisite: MATH 224. (F)

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)

Linear systems, existence and uniqueness of solutions, non-linear equations, series solutions, orthogonal sets of functions. Fourier series, boundary value problems, partial differential equations and applications. Prerequisite: MATH 337. MATH 325 is recommended. (F, *, O)

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)

An introduction to data structures, sorting, searching, recurrence relations and performance measures. Algorithms will be studied analytically and through computer implementation. Prerequisite: MATH 224 and MATH 242. (*)

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)

An introduction to topological spaces, homeomorphisms, topological properties, and separation axioms. Prerequisite: MATH 307 or MATH 320. (*)

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)

Topics selected from mathematical reasoning, combinatorial techniques, set theory, binary relations, functions and sequences, algorithm analysis, and discrete analysis. Prerequisite: MATH 224 and 307 and knowledge of a programming language. (*)

MATH 463  History of Mathematics  3(3-0)

Survey of the origins of important mathematical concepts and of the mathematicians responsible for these discoveries. Prerequisite: MATH 307 or MATH 320. (F, O)

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. (*)

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).