Undergraduate Courses 

Unless otherwise noted, all courses are 3 credits.

Completion of Basic Skills requirement is necessary for all the following courses.

MATH 110 Contemporary Mathematics
This course is intended to provide an understanding of some of the mathematical ideas expected of an educated adult. Topics include logic, set theory, introductory combinatorics and applications selected by the instructor.

MATH 115 College Algebra
An algebra course with emphasis on the logical development of the subject. Topics include: the algebra of fractions; linear equations and inequalities; exponents; radicals and complex numbers; non-linear equations and inequalities; and graphing linear equations, solving systems of equations, conic sections in standard position with centers at the origin, graphs and operations of functions and inverse functions.
Prerequisite: MATH 106 or Basic Skills Placement

MATH 130 Elementary Statistics
The development of statistical concepts with applications to various disciplines. Topics include descriptive and inferential statistics, probability, binomial distribution, normal distribution, sampling theory, estimation, confidence intervals, hypothesis testing, t-test, Chi square test, and regression and correlation.
Not open to science or mathematics majors.

MATH 135 Algebra, Trigonometry, and Functions
An in-depth study of the prerequisites for calculus, including concepts of algebra, trigonometry and functions with emphasis on algebraic, trigonometric, exponential, and logarithmic functions.
Prerequisite:  A passing grade in Basic Skills Mathematics Test. Students may be admitted into the course based on the results of a placement test.
4 credits

MATH 145 Quantitative Mathematics II
This course covers essential ideas of the calculus: functions, limits, continuity, differentiation and applications, antiderivatives and definite integrals. Business applications are stressed. Trigonometry is not required.
Prerequisite: MATH 140

MATH 161 Calculus II
Applications of the integral. Derivatives and integrals of logarithmic, exponential, inverse trigonometric and hyperbolic functions. Techniques of integration. Infinite series and introduction to the approximation problem with Taylor polynomials.
Prerequisite: MATH 160
4 credits

MATH 201 Calculus III
Conic sections, rotation of axes, graphing and area in polar coordinates. Vectors and vector valued functions, calculus of functions of several variables including partial differentiation and multiple integrals.
Prerequisite: MATH 161
4 Credits

MATH 212 Mathematics for High School Teachers
This course surveys number theory, graph theory and combinatorics, and the history of mathematics.
Prerequisite: MATH 161

MATH 301 Modern Algebra
An introduction to groups, isomorphisms, rings, integral domains, fields and polynomial rings. Emphasis is placed on techniques of proofs.
Prerequisite: MATH 200 or CS 260

MATH 311 Number Theory
This is an introductory course in Number Theory for students interested in mathematics and the teaching of mathematics. The course begins with the basic notions of integers and sequences, divisibility, and mathematical induction. It also covers standard topics such as Prime Numbers; the Fundamental Theorem of Arithmetic; Euclidean Algorithm; the Diophantine Equations; Congruence Equations and their Applications (e.g. Fermat’s Little Theorem); Multiplicative Functions (e.g. Euler’s Phi Function); Application to Encryption and Decryption of Text; The Law of Quadratic Reciprocity.

MATH 322 Differential Equations
A study of the methods of solution and applications of ordinary differential equations. Topics include: first and second order equations, existence and uniqueness of solutions, separation of variables, exact equations, integrating factors, linear equations, undetermined coefficients, variation of parameters, transform methods, series solutions, systems of equations and elementary numerical methods.
Prerequisite: MATH 161

MATH 323 Foundations of Geometry
Develops an axiomatic approach to the study of geometry with specific applications to finite and non-Euclidean geometries. Knowledge of Euclidean (high school) geometry is assumed.
Prerequisite: MATH 161 and (MATH 200 or CS 260)

MATH 332  Statistical Computing
In this course, students solve statistical problems on the computer with the help of statistical packages, such as SAS, BMD, Mystat, etc., and learn to interpret the outputs and draw inferences. Topics include analysis of variance with and without interactions, correlation and regression analysis, general linear models, multiple comparisons and analysis of contingency tables.
Prerequisites: MATH 324

MATH 334 Applied Regresion Analysis
This is a comprehensive treatment of regression analysis course, statistical topics including: simple linear regression, least square estimates, ANOVA table, F-test, R-square, multiple regression, using dummy variables, selections of the “best subset” of predictor variables, checking model assumptions and Logistic regression. The computer package, SAS, will be used through out the course and applications to real life data will be an integral part of the course.

MATH 335 Introduction to Numerical Analysis
Treatment of numerical methods including numerical integration, numerical solution of equations and systems of equations, approximation of functions, numerical solution of differential equations, applications and computer implementation of numerical methods.
Prerequisite: MATH 202 or MATH 322

MATH 380  Linear and Nonlinear Optimization
Quantitative Analysis Process; Linear Programming (LP): Graphical method and sensitivity analysis, LP applications in health care, business and transportation; The Simplex Method: Algebraic approach and applications; Transportation and Assignment problems; Graph Theory and Network Models.
Prerequisite: MATH 202

MATH 401 Applied Algebra
Concepts of modern algebra are applied to different areas. Topics include: Boolean algebra and applications to switching theory, automata (finite state machines) and Turing machines, recursive functions and some ideas in theory of computability, groups, rings, polynomial rings, finite fields applied to coding theory, development of binary group codes, Hamming codes, B-C-H codes, relations of geometry and statistical block designs to codes; importance of codes in communications.
Prerequisite: MATH 301 or MATH 202

MATH 411 Advanced Discrete Mathematics
This is an advanced course in discrete mathematics primarily dealing with discrete dynamical systems, algorithms, combinatorics and Graph Theory. Emphasis is placed on complexity of algorithms, on existence and optimization problems in Graph Theory and on associated algorithms.
Prerequisite: MATH 202 or CS 260

MATH 412 Time Series Analysis
An applied statistical methods course in time series modeling of empirical data observed over time. Topics covered include: Linear Time Series Models, Stationary Processes, Moving Average Models, Autoregressive Models, ARIMA Models, Estimation using Time Series Models, Data Analysis with Time Series Models, Forecasting, Forecast Errors and Confidence Intervals

MATH 413 Experimental Design for Statistics
This is an upper level mathematics course for statistics Minor and B.A./B.S. Program. The course is intended for student who is interested in statistics. Students will learn how to apply statistical methods and the principles of experimental design to the problems of practical interest, with emphasis on theory and applications. Students will learn how to use the well know statistical packages such as SAS and S-PLUS for statistical analysis, and display data graphically and organize results into reports. This course will lay the foundations for learning more advanced statistical courses after student has completed the course.

MATH 415 Topics from Applied Mathematics
Topics are selected from various branches of applied mathematics. The mathematical principles and theories involved are applied to problems in the physical sciences, mathematics, biological sciences, business and computer science.
Prerequisite: MATH 201

MATH 421 Mathematical Statistics
A theoretical treatment of statistical topics including: distribution theory, sampling, point and interval estimation, methods of estimation, properties of estimators, maximum likelihood estimation, Neyman-Pearson Lemma, hypothesis testing and linear models.
Prerequisite: MATH 324

MATH 423 Real Analysis
A rigorous approach to the theory of functions of real variables. Topics include: metric spaces and their properties, sequences,limits, continuity, uniform continuity, differentiability, integration, and Riemann-Stieltjes integral.
Prerequisite: MATH 301 or MATH 302

MATH 425 Introduction to Topology
Topological spaces and their properties, connectedness, compactness, boundedness, limit points, continuity, homeomorphisms, topological invariants, separation and countability axioms.
Prerequisite: MATH 301 or MATH 302

MATH 490  Mathematics Seminar
This course will be conducted in a seminar format. Students (with assistance) from a faculty member will complete a project in mathematics and make a presentation. Emphasis will be placed on the seminar presentation.
Prerequisite: : One Math course at 300 level or higher.
1 credit