MATH 020 ALGEBRA PREPARATION
Intensive review of the arithmetic and basic algebra needed for success in MATH 120, MATH 130, and many science courses. Credits do not apply toward graduation. Graded Pass/No Pass. Course may be repeated until passed. Occasionally.

MATH 071 ELEMENTARY EDUCATION MATH PREPARATION
Intensive review of the basic mathematics needed for success in MATH 171 Structure of Number Systems. Topics: place value, whole number computation, fractions, decimals, percents, integers, basic algebra, and problem solving. Credits do not apply toward graduation. Graded Pass/No Pass. Course may be repeated until passed. Fall, Spring.

MATH 102 MATHEMATICS FOR MANAGEMENT
1 credit
Intensive review of fractions, decimals, percents, order of operations, solving equations, evaluating formulas, ratios and proportions and linear functions. Open only to Management majors and minors who do not pass the mathematics assessment exam for management. Fall, Spring.

MATH 120 APPLIED ALGEBRA AND TRIGONOMETRY
Algebra and trigonometry taught in context, using technology to enhance understanding of algebraic concepts. Topics include numeracy; data analysis; linear, quadratic, and exponential growth; formula use; laws of exponents; logarithms; and systems of equations. Not open to students who have completed MATH 130 or MATH 151. Fall, Spring.

MATH 130 PRECALCULUS
Functions explored from numerical, graphical, and analytic perspectives. Function notation, operations, and inverses. Includes study of polynomial, rational, exponential, logarithmic, and trigonometric functions. Intended as a preparation for calculus and not open to students who have taken calculus in college. Presumes competency in the content of MATH 120. Fall, Spring.

MATH 135 MATH FOUNDATIONS FOR CS
This course is an introduction to the formal mathematical concepts necessary for the study of computer science. Topics include elementary logic, set theory, relations, deduction, induction, algorithmic processes, graph theory, and data analysis. Spring.

MATH 141 INTRODUCTORY STATISTICS
Basic tools of descriptive statistics, discrete probability, binomial distribution, normal distribution, t-distribution, estimates and sample sizes, hypothesis testing, elementary correlation and regression, contingency tables. Use of graphing calculator and spreadsheet software. May not be taken for credit by students who have completed PSYC 251. Fall, Spring.

MATH 151 CALCULUS I
Topics include limits, continuity and derivatives of functions of one and two variables, integrals of a function of one variable and the Fundamental Theorem of Calculus. Applications of differentiation and development of mathematical modeling skills will be emphasized. Presumes competency in content of MATH 130. Computer algebra system introduced. Fall, Spring.

MATH 152 CALCULUS II
Techniques of integration for functions of one and several variables; first and second order differential equations; applications such as area, volume, and arc length; apply Taylor series to find power series representations of functions. Continued use of a computer algebra system. Prerequisite: Grade C or higher in MATH 151. Fall, Spring.

MATH 171 STRUCTURE OF NUMBER SYSTEMS
Examines the structures and properties of mathematics while focusing on the development of problem-solving skills. Includes sets, functions, whole numbers, fractions, number theory, and integers. Intended for prospective elementary school teachers. Utilizes appropriate grade-level technology. Prerequisite: passing grade on the proficiency examination. Fall, Spring.

MATH 172 APPLICATION OF NUMBER SYSTEMS
Considers applications of rational numbers, decimals, percent, probability and statistics, counting techniques, geometry, and measurement. Intended for prospective elementary school teachers. Uses appropriate grade-level technology. Prerequisite: Grade C or higher in MATH 171. Fall, Spring.

MATH 225 INTRODUCTION TO ABSTRACT AND DISCRETE MATHEMATICS
Introduction to mathematical language and reasoning and to selected topics in discrete mathematics. Introduction to proof techniques. Mathematical induction, logic, set theory, functions, relations, elementary number theory, combinatorial enumeration, and graph theory. Prerequisite: Grade C or higher in MATH 151. Fall, Spring.

MATH 231 LINEAR ALGEBRA AND DIFFERENTIAL EQUATIONS
Develops the mathematical structures, algebraic properties, and applications of matrices, determinants, vectors, vector spaces, and linear transformations. Development and solution of mathematical models involving systems of linear algebraic equations and systems of linear differential equations. Incorporates graphing calculator and computer algebra system. Prerequisite: Grade C or higher in MATH 152. Spring.

MATH 241 PROBABILITY AND STATISTICS I
A calculus-based course introducing elementary probability theory; discrete and continuous distributions and random variables; and sampling distributions. Data analysis via descriptive and inferential statistics. Includes point and interval estimation; regression and correlation; and hypothesis testing. Prerequisite: Grade C or higher in MATH 152. Fall, Spring.

MATH 242 APPLIED STATISTICS
Hypothesis testing, single linear regression, and one-way analysis of variance using calculators and statistical software. Includes problems dealing with multiple linear regression, multi-way analysis of variance, nonparametric statistics, and computer applications. Prerequisite: MATH 141, PSYC 251, or MATH 241. Spring, odd years.

MATH 251 VECTOR CALCULUS
Extends multivariable calculus to vector fields and functions. Topics include vector algebra and geometry; line and surface integrals; gradient, divergence and curl; Lagrange multipliers; and Green’s, Stokes’s and Divergence theorems. Applications to physics, engineering, and other sciences. Computer algebra system used extensively. Prerequisite: Grade C or higher in MATH 152. Spring.

MATH 275 GEOMETRY FOR K-8 TEACHERS
An introduction to geometry for the elementary/middle school curriculum. Emphasis on proof techniques and content areas of Euclidean and non-Euclidean topics. Prerequisite: MATH 172 or MATH 151. Spring.

MATH 300 INTRODUCTION TO ALGEBRA AND ANALYSIS
Introduction to the basic concepts of algebra and analysis, focusing on the properties of the number systems, natural numbers to complex numbers. Groups, rings, fields, and homomorphisms; limits, continuity, differentiation, integration and the Fundamental Theorem of Calculus. Prerequisite: Grade C or higher in MATH 225. Fall.

MATH 310 HISTORY OF MATHEMATICS
A study of the development of various branches of mathematics from ancient times to the present. Investigates historical and multicultural influences on the development of mathematics, to include non-Western cultures. Includes research, writing and oral presentation requirements. Prerequisites: IQL101 and ITW101. Fall.

MATH 315 CONTEMPORARY MATHEMATICS
An introduction to mathematics that affects political, sociological and economic situations in modern society. Topics such as voting systems, fairness conditions, power indices, fair division methods and their applications, apportionment methods, Euler and Hamilton circuits and their applications, networks, scheduling, elementary game theory. Prerequisite: IQL-101. Spring.

MATH 320 GEOMETRY
Rigorous treatment of Euclidean and non-Euclidean geometries. Synthetic, analytic, and transformational approaches. Axiomatic systems, parallel postulates, congruence, similarity. Incorporates the historical development of geometry and the use of geometry software. Prerequisite: Grade C or higher in MATH 225. Spring.

MATH 337 NUMBER THEORY
Theory and applications of properties of the integers. Mathematical induction, divisibility, division algorithm, congruencies, greatest common divisor, least common multiple, primes, Fundamental Theorem of Arithmetic, and Pythagorean triples. Also considers historical background and famous numbertheoretic conjectures. Prerequisite: Grade C or higher in MATH 225. Fall.

MATH 341 PROBABILITY AND STATISTICS II
A second course in probability and mathematical statistics addressing in depth such topics as the Central Limit Theorem, Chebyshev’s theorem, covariance, multiple regression, ANOVA, nonparametric methods, and applications of probability distributions. Prerequisite: Grade C or higher in MATH 241. Spring, even years.

MATH 360 NUMERICAL METHODS
An introductory course in numerical analysis addressing the topics of error analysis, order of convergence, computational efficiency, and programming of algorithms. Explores methods such as numerical integration, numerical linear algebra, numerical solution of ordinary differential equations, interpolation, curve fitting, and optimization. Prerequisites: CS 140 and MATH 152. Spring, odd years.

MATH 361 DIFFERENTIAL EQUATIONS
A study of analytical and numerical solution methods for ordinary and partial differential equations. Includes series solutions and special functions for the solution of ODEs and the use of Fourier series to solve PDEs. Transform and numerical methods for solving ODEs and PDEs are introduced. Prerequisite: MATH 231. Fall.

MATH 365 MATHEMATICAL MODELING
This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with calculus or lower-level mathematics. The types of models will include both deterministic and stochastic models. Spreadsheet software will be used throughout the course. Prerequisites: IQL 101 and MATH 151. Spring, even years.

MATH 371 MATH CONCEPTS FOR THE MIDDLE
SCHOOL Focuses on the use in the middle school of statistics, discrete mathematics, set theory, number theory, and probability to obtain solutions to realistic problems, and on the teaching of algebra through physical models. Prerequisite: MATH 275. Occasionally.

MATH 375 ALGEBRIAC CONCEPTS FOR K-8 TEACHERS
The focus is on building algebraic thinking with an emphasis on modeling real-world phenomena and the meanings represented by algebraic expressions. Topics include linear relationships; slope; linear, quadratic, and exponential functions. Connections will be drawn between algebra and geometry through patterns and other areas of overlap. Prerequisite: MATH 337. Spring.

MATH 400 CAPSTONE IN MATHEMATICS
A senior-level course in mathematical reasoning, problem solving, and communication. Topics vary at instructor’s discretion. Students will make connections and integrate previous learning, develop mathematical literacy through reading and interpreting mathematical literature, and prepare and present written and oral reports on mathematical topics. Prerequisite: MATH 300. Fall.

MATH 471 TOPICS IN MATHEMATICS EDUCATION
Topics from mathematics education. May be repeated with department’s permission. Prerequisite: Permission of instructor. Occasionally.

MATH 475 ISSUES AND TRENDS IN MATH EDUCATION
Analyzes the development of historical, mathematical, and psychological factors influencing K-16 mathematics curricula. Emphasis is on the content of mathematics and its interface with current major issues in mathematics education. Taken concurrently with EDUC 312 or EDUC 322 or EDUC 332 or permission of instructor. Fall.

MATH 490 TOPICS IN PURE MATHEMATICS
Topics from fields of pure mathematics. May be repeated with department’s permission. Prerequisite: permission of instructor.

MATH 494 COOPERATIVE EDUCATION
1-8 credits
Sequential work-learning experience for which compensation may be received. Placements arranged, supervised, and evaluated by full-time faculty. Elective credit to maximum of 8 credits. Prerequisites: 2.5 cumulative GPA, declaration of Mathematics major, and permission of instructor. May be repeated for credit. Graded Pass/Fail.

MATH 495 TOPICS IN APPLIED MATHEMATICS
Topics from fields of applied mathematics. May be repeated with department’s permission. Prerequisite: Permission of instructor. Occasionally.

MATH 498 INDEPENDENT STUDY
1-8 credits
Individual investigation of selected topics. May be repeated for a total of 8 credits. Prerequisite: permission of instructor.