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Course Details

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 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

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, 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, 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 three-dimensional 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 Chi-square 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 problem-based 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 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 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 non-Euclidean 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 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 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; inclusion-exclusion 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, flip-flops, 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; Cauchy-Goursat theorem; Taylor and Laurent series; singularities and residues; conformal mapping.

Credits:  3


MATH 357  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.

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 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 2n 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 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