## 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 - DEV. 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

## 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.Â Topics include Absolute and Relative Quantities, Percentages, Rates, and Ratios, Linear and Exponential functions, Making and Interpreting Graphs, and Financial Mathematics

Credits: 3

## MATH 115 - QUANT. & 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

## 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; Â probability with applications.

Credits: 3

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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: 1-3

## 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

## MATH 290 - INTRO 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: 3

## MATH 295 - INDEPENDENT STUDY

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

## 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

## 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

## MATH 317 - GEOMETRY

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

Credits: 3

## 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

## 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

## 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 - INTRO 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

## 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

## 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

## 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

## 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

## MATH 350 - BOOLEAN ALG & 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

## MATH 355 - FUNCT 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 358 - THEORY OF INTEGRATION

Henstock and Lebesgue integrals and their relation to Riemann integral; convergence theorems; elements of measure theory.

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

## MATH 369 - MODELS FOR LIFE CONTINGENCIES

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

Credits: 3

## 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

## MATH 389 - SPECIAL TOPICS

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

Credits: 1-3

## MATH 395 - INDEPENDENT STUDY

Credits: 1-6

## MATH 401 - ALGEBRA FOR TEACHERS

The conceptual foundations for elementary and middle school algebra will be covered through an investigation of the fundamentals of algebraic modeling. Course topics will include; problem solving, real numbers and mathematical operations, algebraic notation, solving equations, patterns, formulas, graphing linear equations, solving systems of equations, direct and inverse variation, quadratic and exponential functions, and the application of functions. Although emphasis will be on mathematical content and concepts, pedagogy consistent with the NCTM Standards for Teaching Mathematics and problem-based learning will be modeled throughout the course.

Credits: 3

## MATH 407 - CHAOS AND FRACTALS

Introduction to discrete and continuous dynamical systems; stability; chaotic behavior; fractals and fractal measures.

Credits: 3

## MATH 409 - 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 "Ëœmeaning' 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.

Credits: 3

## MATH 410 - FORMAL LANGUAGES & AUTOMATA

Finite automata and regular languages; push-down automata and context-free languages. Turing machines, linear-bounded automata, and context sensitive languages. See also Cst 410.

Credits: 3

## MATH 416 - HISTORY OF MATHEMATICS

Evolution of mathematical ideas; major developments; problem solving, algorithms, and theoretical framework.

Credits: 3

## MATH 417 - GEOMETRY

Comparative study of modern postulates, invariants, and implications of Euclidean, projective, and non-Euclidean geometries.

Credits: 3

## MATH 418 - 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 420 - Introduction to Abstract Algebra

Elementary properties of groups, rings, integral domains, and fields; symmetry; factorization of integers and polynomials; construction of quotient field of an integral domain.

Credits: 3

## MATH 423 - COOPERATION AND COMPETITION

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.

Credits: 3

## MATH 428 - LINEAR PROGRAMMING & OPTIM

Models of optimization with linear constraints and objectives; simplex method and related algorithms; duality and sensitivity; transportation and assignment problems; games and network flows. See also Cst 428.

Credits: 3

## MATH 430 - NUMERICAL ANALYSIS

Solution of equations by iteration; interpolation; numerical differentiation and integration; numerical solutions to linear systems. Computer use course. See also Cst 330.

Credits: 3

## MATH 432 - OPERATIONS RESEARCH

Stochastic methods in operations research. Queuing theory; Markov processes; decision analysis; simulation; stochastic dynamic programming.

Credits: 3

## MATH 435 - TOPICS IIN APPLIED MATHEMATICS

Linear eigenvalue and boundary value problems; Fourier series and integrals; Laplace transforms.

Credits: 3

## MATH 445 - COMBINATORICS

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

Credits: 3

## MATH 446 - STOCHASTIC PROCESSES

Poisson and renewal processes. Markov chains with applications to queuing theory, inventory control, and population growth.

Credits: 3

## MATH 447 - ADVANCED PROBABILITY

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

Credits: 3

## MATH 448 - PROBABILITY AND STATISTICS II

Continuation of Math 447. Distributions of functions of random variables, sampling distributions; Central Limit Theorem; point estimators and confidence intervals; hypothesis testing; linear models.

Credits: 3

## MATH 449 - REGRESSION & TIME SERIES

Simple and multiple linear regression models; time series analysis; applications to forecasting. Use of a statistical computer package; no previous experience with computers required.

Credits: 3

## MATH 450 - BOOLEAN ALG & 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.

Credits: 3

## MATH 455 - FUNCTIONS OF A COMPLEX VAR

Elementary functions of a complex variable, complex differentiation and integration, Cauchy-Goursat theorem, Taylor and Laurent series, singularities and residues, conformal mapping.

Credits: 3

## MATH 457 - ANOVA & EXPERIMENTAL DESIGN

One-way analysis of variance (ANOVA), multiple comparison methods, basic experimental designs, analysis of covariance (ANCOVA), factorial treatment structures, split plots, confounding and fractional replication in 2^{n} factorial systems.

Credits: 3

## MATH 458 - THEORY OF INTEGRATION

The Lebesgue integral and its relation to the Riemann integral, convergence theorems, elements of measure theory.

Credits: 3

## MATH 469 - ACTUARIAL MATHEMATICS I

Survival distributions and life tables; life insurance; life annuities.

Credits: 3

## MATH 470 - ACTUARIAL MATHEMATICS II

Benefit premiums; benefit reserves; multiple life functions; multiple decrement models.

Credits: 3

## MATH 471 - TOPOLOGY

Set theory and metric spaces; topological spaces and continuity; separation, compactness, and connectedness.

Credits: 3

## MATH 475 - DERIVATIVES MARKETS

We will cover binomial option pricing, the Black-Scholes Formula and equation, market-making and delta hedging, exotic options, the lognormal distribution, Monte Carlo valuation, Brownian motion and Itobparity and other option relationships, volatility, interest rate models.

Credits: 3

## MATH 476 - LOSS MODELS

Actuarial models; classifying and creating distributions; frequency and severity with coverage modifications; construction of empirical models; estimation for complete data; estimation for modified data; parameter estimation; interpolation and smoothing; simulation.

Credits: 3

## MATH 477 - SURVIVAL MODELS

Survival data, survival functions, hazard functions, life tables, comparing two groups of survival data, parametric models of survival data, and sample size for survival studies.

Credits: 3

## MATH 478 - TOPICS IN ACTUARIAL MATH

Course content varies. Topics in actuarial models and actuarial modeling. May be repeated for credit for up to six semester hours.

Credits: 3

## MATH 480 - ACTUARIAL SCIENCE SEMINAR

Applications of mathematical and financial models to actuarial problems and practice. Topics vary and may include risk management and insurance, corporate finance, price theory, actuarial models, loss models, simulation, and survival models.

Credits: 3

## MATH 480P - ACTUARIAL SCI SEM: EXAM P/1

Preparation for the Society of Actuaries Exam P and the Casualty Actuarial Society Exam 1.

Credits: 3

## MATH 485 - FUNCTIONAL ANALYSIS

Credits: 3

## MATH 489 - SPECIAL TOPICS

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

Credits: 1-3

## MATH 490 - MASTER'S THESIS

Credits: 3

## MATH 495 - INDEPENDENT STUDY

Credits: 1-6