MATH 090A PREALGEBRA COMPLETION
Credits:
0
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 selfpaced 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 selfpaced with individualized assistance.
Credits:
3
MATH 105 FOUNDATIONS OF ARITHMETIC
Sets, counting, problem solving, and number system development. Rationals, decimals, and irrationals. Number theory. Algorithms of arithmetic.
Credits:
3
MATH 110 Quantitative Reasoning
Applying mathematical skill, tools, and concepts in solving real world problems with statistical data, physical measurements, and numerical relationships.
Credits:
3
MATH 115 QUANT. & SPATIAL REASONING
Data analysis, geometry, measurement, symmetry, and tesselations.
Credits:
3
MATH 116 FINITE MATHEMATICS
Functions and graphs. Systems of linear equations and matrices. Sets, combinatorial methods, probability with applications.
Credits:
3
MATH 121 COLLEGE ALGEBRA
Algebraic operations, equations and inequalities, graphs and functions, polynomial functions, polynomial equations.
Credits:
0

3
MATH 122 PRECALCULUS
Trigonometric functions and their properties; trigonometric identities and applications; System of Equations; Matrices and Determinants
Credits:
0

3
MATH 217 INTRO PROBABILITY & STATISTICS
Elementary probability and probability distributions, random variables, expectation and variance; binomial and normal probability distributions. Applications to estimation, confidence intervals, statistical testing of hypotheses, twosample 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, and computing extrema; antiderivatives.
Credits:
5
MATH 232 CALCULUS II
Introduction to integration and the fundamental theorem of calculus. Numerical integration, application and methods of integration; Euler's method; Taylor polynomials, L'Hopital's rule, sequences, and series.
Credits:
5
MATH 233 CALCULUS III
Polar and threedimensional coordinates, vectors, planes, and surfaces; functions of several variables; continuity, partial derivatives, chain rules, multiple integrals, line integrals.
Credits:
3
MATH 238 APPLIED STATISTICAL METHODS
Second course in statistics; comparison of normal means, simple and multiple regression, correlation, contingency tables and Chisquare tests, analysis of variance, and nonparametric methods.
Credits:
3
MATH 245 DISCRETE STRUCTURES
Sets, logic and Boolean algebra; Functions and Relations; Basic counting techniques; number systems; elementary probability; graphs and trees with applications to elementary data structures.
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 MATHEMATICAL REASONING
Elementary logic, sets, elementary number theory, relations, functions, and methods of mathematical proof including direct proofs, indirect proofs, mathematical induction, case analysis, and counterexamples.
Credits:
3
MATH 295 INDEPENDENT STUDY
Credits:
1

3
MATH 300 LINEAR ALGEBRA
Vector spaces; linear transformations and matrices; inner products and orthogonality; eigenvalues; eigenvectors; and diagonalization.
Credits:
3
MATH 301 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 problembased learning will be modeled throughout the course.
Credits:
3
MATH 307 DIFFERENTIAL EQUATION/MODELING
The use and interpretation of differential equations using modern technology. First and second order linear equations, with attention to some nonlinear ones; systems of equations; numerical methods.
Credits:
3
MATH 309 DATA MINING
Methods of knowledge discovery in massive data, i.e. the study of computerassisted 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 316 HISTORY OF MATHEMATICS
Evolution of mathematical ideas; major developments; problem solving, algorithms, and theoretical framework.
Credits:
3
MATH 317 GEOMETRY
Comparative study of modern postulates, invariants, and implications of Euclidean, projective, and nonEuclidean geometries.
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
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 323 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 gametheoretic foundations of cooperative and noncooperative behavior of independent agents. The course emphasizes applications drawn from artificial intelligence, decision theory, economics, psychology, business management and finance.
Credits:
3
MATH 328 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. Computer use course. See Cst 328.
Credits:
3
MATH 330 NUMERICAL ANALYSIS
Solution of equations by iteration; interpolation; numerical differentiation and integration; numerical solutions to linear systems. Computer use course. See Cst 330.
Credits:
3
MATH 332 OPERATIONS RESEARCH
Stochastic methods in operations research. Queuing theory; Markov processes; decision analysis; simulation; stochastic dynamic programming. Computer use course.
Credits:
3
MATH 335 TOPICS IN APPLIED MATH
Linear eigenvalue and boundary value problems; Fourier series and integrals; Laplace transforms.
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.
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; inclusionexclusion principle; recurrence relations; generating functions; introduction to theory of graphs. See Cst 345.
Credits:
3
MATH 347 PROBABILITY & STATISTICS I
Probability models; random variables; probability distributions; expectation and moment generating functions of random variables; multivariate distributions. See Acsc 347.
Credits:
3
MATH 348 PROBABILITY & STATISTICS II
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. Use of a statistical computer package; no previous experience with computers is required.
Credits:
3
MATH 350 BOOLEAN ALG & SWITCH THEORY
Logic gates and Boolean algebras. Minimization of switching functions, and Karnaugh maps. Introduction to logic circuits, flipflops, counters and registers. Digital arithmetic. See Cst 350.
Credits:
3
MATH 352 ANALYSIS
Introduction to proving theorems in analysis. Properties of the real numbers; induction; limits of sequences; continuity; derivative; Riemann integral. Math 300 recommended.
Credits:
3
MATH 355 FUNCT OF A COMPLEX VARIABLE
Elementary functions of complex variables; complex differentiation and integration; CauchyGoursat theorem; Taylor and Laurent series; singularities and residues; conformal mapping.
Credits:
3
MATH 357 ANOVA & EXPERIMENTAL DESIGN
Oneway analysis of variance (ANOVA); multiple comparison methods; basic experimental designs; analysis of covariance (ANCOVA); factorial treatment structures; split plots; confounding and fractional replication.
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
Financial Mathematics 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. The use of technology will be required.
Credits:
3
MATH 369 ACTUARIAL MATHEMATICS I
Survival distributions and life tables; life insurance; life annuities.
Credits:
3
MATH 370 ACTUARIAL MATHEMATICS II
Benefit premiums; benefit reserves; multiple life functions; multiple decrement models.
Credits:
3
MATH 376 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.
Credits:
3
MATH 377 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 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 397 INDEPENDENT STUDY
Credits:
3
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 problembased 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 computerassisted 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; pushdown automata and contextfree languages. Turing machines, linearbounded 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 nonEuclidean 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 gametheoretic foundations of cooperative and noncooperative 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; inclusionexclusion 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, flipflops, counters and registers. Digital arithmetic.
Credits:
3
MATH 455 FUNCTIONS OF A COMPLEX VAR
Elementary functions of a complex variable, complex differentiation and integration, CauchyGoursat theorem, Taylor and Laurent series, singularities and residues, conformal mapping.
Credits:
3
MATH 457 ANOVA & EXPERIMENTAL DESIGN
Oneway 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 BlackScholes Formula and equation, marketmaking 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 480FM ACTUARIAL SCIENCE SEMINAR
Preparation for the Society of Actuaries Exam FM and the Casualty Actuarial Society Exam 2.
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