# MATHEMATICS (MATH)

**MATH 095 - DEVELOPMENTAL MATHEMATICS**

This class covers the fundamentals of arithmetic and algebra: Whole numbers; Fractions; Decimals; Ratios; Rates; Percents; Measurement; Geometry; Statistics; Real numbers; Variables; Solving linear equations; Graphing Linear equations; Solving systems of linear equations; Algebra with polynomials; Factoring polynomials; Solving Quadratic equations. The focus will be on concepts, skills, and abilities needed for success in subsequent math courses. This course is a prerequisite for Math 110, 105, 115, and 116. This course is self-paced with individualized assistance.

Credits: 3

**MATH 096 - DEVELOPMENTAL MATH FOR COLLEGE ALGEBRA**

This class covers the fundamentals of arithmetic and algebra: Whole numbers; Fractions; Decimals; Ratios; Rates; Percents; Measurement; Geometry; Statistics; Real numbers; Variables; Solving linear equations; Graphing Linear equations; Solving systems of linear equations; Algebra with polynomials; Factoring polynomials; Rational Expressions; Algebra with Rational expressions; Roots; and Radicals. The focus will be on concepts, skills, and abilities needed for success in subsequent math courses. This course is a prerequisite for Math 121. This course is self-paced with individualized assistance.

Credits: 3

**MATH 105 - FOUNDATIONS OF ARITHMETIC**

This course helps prospective elementary teachers prepare for the Common Core State Standards. Topics include: sets, counting, problem solving, and number system development; Rationals, decimals, and irrationals; Number theory; Algorithms of arithmetic.

Credits: 3

Course Notes: Prerequisites: Math 095 or Math 096 a C+ or higher, or MATH 100 with a min grade of C- or, or MATH 101 with a min grade of C- or MATH 103 with a min, grade of C- or Compass-Algebra with min score of 37.

**MATH 110 - QUANTITATIVE LITERACY**

The goals of this course are to create confident and critical users of quantitative information, to be able to describe and interpret quantitative information and arguments, and to apply mathematical tools to analysis of data on social issues. Topics include absolute and relative quantities, percentages, rates, and ratios, linear and exponential functions, making and interpreting graphs, and financial mathematics.

Credits: 3

Course Notes: Prerequisites: Math 095 or Math 096 a C+ or higher or, or MATH 100 with a min grade of C- or MATH 101, with a min grade of C- or MATH 103 with a min, grade of C- or Compass-Algebra with min score of 37.

**MATH 115 - QUANTITATIVE & SPATIAL REASONING**

This course helps prospective elementary teachers prepare for the Common Core State Standards. Topic include: Geometry, measurement, probability, statistics, data analysis, and problem solving.

Credits: 3

Prerequisites: MATH 095 or MATH 096 or MATH 100 or MATH 101 or MATH 103 or Compass-Algebra with min score of 37

Course Notes: Prerequisites: Math 095 or Math 096 a C+ or higher or, MATH 100 with a min grade of C- or MATH 101, or MATH 101 with a min grade of C- or MATH 103, 103 with a min grade of C- or Compass-Algebra, with min score of 37.

**MATH 116 - FINITE MATHEMATICS**

This course is intended for business majors to expand their mathematical skills and apply them in real world situations. Linear equations and applications; functions and graphs; solving systems of linear equations; matrices; graphing of linear inequalities; Linear Programming; finance problems including simple and compound interest; sets; combinatorial methods; probability with applications.

Credits: 3

Prerequisites: MATH 095 or MATH 096 or MATH 100 or MATH 103 or Compass-Algebra with min score of 37 or MATH 101

**MATH 121 - COLLEGE ALGEBRA**

This course will strengthen your algebraic skills and prepare you to apply algebraic techniques to future math, science, computer science, and business courses. Topics include: Algebraic operations, equations and inequalities, graphs and functions, polynomial functions, polynomial equations. Exponential and logarithmic functions. Systems of equations.

Credits: 3

Course Notes: Prerequisites: Math 096 a C+ or higher or MATH 100 with a, min grade of C- or MATH 103 with a min grade of C-, or Compass-Algebra with min score of 45., 2-1/2yrs. HS Algebra/Geom. RUA Test

**MATH 122 - TRIGONOMETRY AND PRECALCULUS**

Review of exponential and logarithmic functions. Trigonometric functions and their properties; trigonometric identities and applications. Vectors and complex numbers. Conic Sections.

Credits: 3

Prerequisites: MATH 121 or Compass-College Algebra with min score of 45

Course Notes: Placement Test

**MATH 202 - APPLIED CALCULUS FOR HEALTH SCIENCE AND BUSINESS**

Real valued functions and their graphs, exponential and logarithmic functions, derivatives, techniques of differentiation, applications of derivatives to science and business, modeling using calculus, optimization, integration with applications.

Credits: 3

Prerequisites: MATH 121

Course Notes: or RUA placement., This course does not serve as a prerequisite for Math 232., Credit cannot be given for both this and Math 231.

**MATH 217 - ELEMENTARY STATISTICS**

This course applies statistical techniques to problems in the social sciences and business. Elementary probability and probability distributions, random variables, expectation and variance; normal probability distributions (binomial distributions, time-permitting). Applications to estimation, confidence intervals, statistical testing of hypotheses, two-sample techniques. Correlation and least squares.

Credits: 3

Prerequisites: MATH 116 or Compass-College Algebra with min score of 45 or MATH 121 or MATH 110

**MATH 231 - CALCULUS I**

Functions, limits, continuity, and rates of change are studied numerically, symbolically, and graphically. Definition and rules of differentiation; applications of the derivative to analyzing functions, solving equations, computing extrema, and L'Hopital's rule; antiderivatives. Introduction to integration and the fundamental theorem of calculus.

Credits: 5

Prerequisites: MATH 122 or Compass-Trigonometry with min score of 45 or Math PrEP for Math 122 with min score of 75

**MATH 232 - CALCULUS II**

Integration and the fundamental theorem of calculus. Numerical integration, application and methods of integration; Euler's method; Taylor polynomials, sequences, and series. Application of calculus through a social justice oriented project.

Credits: 5

Prerequisites: MATH 231

**MATH 233 - CALCULUS III**

Polar and three-dimensional coordinates, vectors, planes, and surfaces; functions of several variables; continuity, partial derivatives, gradients, chain rules, multiple integrals, line integrals.

Credits: 3

Prerequisites: MATH 232

**MATH 238 - APPLIED PROBABILITY AND STATISTICS**

Elementary probability and probability distributions, counting techniques, random variables, expectation and variance, Bayes' theorem; binomial, normal, and other probability distributions; Selections from the following: comparison of normal means, introduction to ANOVA and regression, correlation, contingency tables and Chi-square tests, and nonparametric methods.

Credits: 3

Prerequisites: MATH 217 or ACSC 348 or MATH 348 or ECON 234 or PSYC 200

**MATH 245 - DISCRETE STRUCTURES**

Sets, logic and Boolean algebras. Basic counting techniques; number systems; elementary probability; graphs and trees with applications to elementary data structures. Emphasis on algorithms. Mathematics majors should take MATH 290 concurrently.

Credits: 3

Prerequisites: MATH 121 or Compass-College Algebra with min score of 45 or MATH 231

Course Notes: and one programming course required for students who, have not completed MATH 231.

**MATH 246 - LINEAR ALGEBRA**

Vector spaces; linear transformations and matrices; inner products and orthogonality; eigenvalues; eigenvectors; and diagonalization.

Credits: 3

**MATH 280 - MATHEMATICAL MODELING**

The modeling process. Model fitting and models requiring optimization; empirical model construction; model analysis and sensitivity; simulation modeling; modeling dynamic behavior.

Credits: 3

Prerequisites: MATH 231

**MATH 290 - INTRODUCTION TO PROOF**

Methods of mathematical proof including direct proofs, indirect proofs, mathematical induction, case analysis, and counterexamples. Mathematics majors should take MATH 245 concurrently.

Credits: 1

Prerequisites: MATH 245 (may be taken concurrently)

Course Notes: Co-rerequisite MATH 245 Discrete Structures Lab.

**MATH 295 - INDEPENDENT STUDY**

Individual projects pursued under an instructor's supervision.

Credits: 1-3

**MATH 307 - DIFFERENTIAL EQUATION/MODELING**

The use and interpretation of differential equations using qualitative methods and computers. First and second order linear equations, with attention to some nonlinear ones; systems of equations; numerical methods; Laplace transforms. An emphasis is placed on modeling.

Credits: 3

Prerequisites: MATH 232

**MATH 309 - DATA MINING**

Methods of knowledge discovery in massive data, i.e. the study of computer-assisted process of digging through and analyzing enormous data sets and then extracting the 'meaning' of the data by applying mathematical methods. The methods that we study in this course are designed to predict behaviors and future trends based on existing data. Topics include classifications techniques, clusterization techniques, association rule discovery techniques, techniques for improving data quality. See Cst 309.

Credits: 3

Prerequisites: (MATH 246 or ACSC 300) or MATH 346 or MATH 300

**MATH 316 - HISTORY OF MATHEMATICS**

Evolution of mathematical ideas from antiquity through the development of calculus; Number systems, Euclidean geometry, Number theory, Roots of polynomials, Calculus.

Credits: 3

Prerequisites: MATH 231

**MATH 317 - GEOMETRY**

Axiom systems, Classical constructions, Euclidean geometry, Non-Euclidean geometry, Transformations, Use of geometric software packages.

Credits: 3

Prerequisites: MATH 231 or (MATH 245 and MATH 122) or MATH 290

**MATH 318 - NUMBER THEORY**

Study of integers. Division and Euclidean algorithms, prime numbers, unique factorization; Diophantine equations; congruences; Fermat's and Euler's theorems; quadratic reciprocity.

Credits: 3

**MATH 320 - INTRODUCTION TO ABSTRACT ALGEBRA**

Introduction to group theory; Classification of finitely generated abelian groups; Permutation groups; Applications of groups; Elementary properties of rings, integral domains, and fields.

Credits: 3

Prerequisites: (ACSC 300 or MATH 300 or MATH 246 or ACSC 246) and (MATH 245 or MATH 290)

Course Notes: MATH 245 with LAB required to meet pre-req.

**MATH 323 - COOPERATION AND COMPETITION -- GAME THEORY AND APPLICATIONS**

Study of the ways in which strategic interactions among autonomous agents produce outcomes with respect to the preferences (or utilities) of those agents. This course covers game-theoretic foundations of cooperative and non-cooperative behavior of independent agents. The course emphasizes applications drawn from artificial intelligence, decision theory, economics, psychology, business management and finance. See Cst 310.

Credits: 3

Prerequisites: ACSC 300 or MATH 300 or ACSC 246 or MATH 246 and (MATH 245 or MATH 290 or MATH 217 or MATH 238 or ECON 234 or SOC 291 or MATH 347 or ACSC 347)

**MATH 328 - LINEAR PROGRAMMING & OPTIMIZATION**

Models of optimization with linear constraints and objectives; simplex method and related algorithms; duality and sensitivity; transportation and assignment problems, games, and network flows. Computer use course. See Cst 328.

Credits: 3

**MATH 335 - INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS**

Heat equation; Method of seperation of variable; Boundary value problems; Fourier series; Laplace equation; Wave equation; Sturm-Loiusville eigenvalue problems

Credits: 3

Prerequisites: MATH 307

Course Notes: MATH 307

**MATH 337 - THEORY OF COMPUTATION**

An introduction to the theoretical foundations of computing. The definition and nature of computational problems and algorithms. The properties of problems that are inherently hard to solve and problems that cannot be solved at all. Use of randomness in computation. See Cst 337.

Credits: 3

Prerequisites: MATH 245 or MATH 290 or (MATH 300 or MATH 246 or ACSC 246)

**MATH 339 - BASEBALL STATISTICS**

Models and research methods developed or adapted for use by baseball statisticians; including descriptive statistics, confidence intervals, hypothesis testing, regression, Bayesian statistics, and Markov chains. Presentation of several tools for teaching statistical concepts using data from baseball.

Credits: 3

Prerequisites: (MATH 300 or ACSC 300) or MATH 217 or ECON 234 or (MATH 347 or ACSC 347)

Course Notes: Basis background in Statistics and Linear Algebra, recommended.

**MATH 345 - COMBINATORICS**

Permutations and combinations; identities involving binomial coefficients; inclusion-exclusion principle; recurrence relations; generating functions; introduction to theory of graphs. See Cst 345.

Credits: 3

**MATH 347 - PROBABILITY THEORY**

Probability models; random variables; probability distributions; expectation and moment generating functions of random variables; multivariate distributions. See Acsc 347.

Credits: 3

Prerequisites: MATH 233 (may be taken concurrently)

Course Notes: or concurrent.

**MATH 348 - MATHEMATICAL STATISTICS**

Continuation of Math/Acsc 347. Distributions of functions of random variables, sampling distributions; Central Limit Theorem; point estimators and confidence intervals; hypothesis testing; linear models. See Acsc 348.

Credits: 3

**MATH 349 - REGRESSION & TIME SERIES**

Simple and multiple linear regression models; time series analysis; applications to forecasting; statistical software. See Acsc 349.

Credits: 3

Prerequisites: (MATH 231 and (MATH 217 or ECON 234)) or ACSC 348 or MATH 348

**MATH 350 - BOOLEAN ALGEBRA & SWITCH THEORY**

Logic gates and Boolean algebras. Minimization of switching functions, and Karnaugh maps. Introduction to logic circuits, flip-flops, counters and registers. Digital arithmetic. See Cst 350.

Credits: 3

**MATH 352 - ANALYSIS**

Theoretical foundations of calculus. The real number system; sequences and series; continuity; uniform continuity; sequences and series of functions; uniform convergence; Riemann integral. At least six hours beyond Math 245 recommended.

Credits: 3

Prerequisites: MATH 233 and (MATH 290 or MATH 245)

Course Notes: MATH 245 LAB required to meet MATH 245 pre-req., MATH 300 recomm'd

**MATH 355 - FUNCTIONS OF A COMPLEX VARIABLE**

Elementary functions of complex variables; complex differentiation and integration; Cauchy-Goursat theorem; Taylor and Laurent series; singularities and residues; conformal mapping.

Credits: 3

**MATH 367 - FINANCIAL MATH**

Mathematics of interest, accumulated value, and present value; annuities certain; amortization schedules and sinking funds; bonds and related securities; depreciation; rates of return; spot and forward rates of interest; cashflow duration and immunization; stocks, mutual funds, fixed income. Financial calculator.

Credits: 3

Prerequisites: MATH 232

**MATH 369 - MODELS FOR LIFE CONTINGENCIES**

Survival distributions and life tables; life insurance; life annuities;benefit premium; premium calculation. See Acsc 369.

Credits: 3

Prerequisites: (ACSC 347 or MATH 347) and (ACSC 367 or MATH 367 (may be taken concurrently))

Course Notes: or concurrently.

**MATH 378 - TOPICS IN ACTUARIAL MATH**

Selected topics in actuarial models and actuarial modeling. May be repeated for up to six semester hours of credit.

Credits: 3

Course Notes: Consent of Instructor and Academic Head

**MATH 380 - CAPSTONE**

Topics vary by semester. Satisfies capstone requirement for MATH BS.

Credits: 3

Course Notes: Prerequisites vary by semester.

**MATH 389 - SPECIAL TOPICS**

Course content varies. May be repeated for up to six semester hours credit.

Credits: 1,3

**MATH 395 - INDEPENDENT STUDY**

Individual projects pursued under an instructor's supervision.

Credits: 1-6

**MATH 397 - INDEPENDENT STUDY**

Credits: 3