Course Descriptions

Knotted torus

Course Descriptions

Undergraduate Courses

Unless otherwise noted, all courses are 3 credits.

MATH 106 Basic Mathematics with Algebra
This course covers the arithmetic of whole numbers, signed numbers, fractions, decimals and percents, its primary coverage is polynomial arithmetic, algebraic expressions, factoring, solving equations (linear and quadratic) with applications and graphing.
Note: Credits for this Basic Skills course are not applicable toward degree requirements.
Prerequisite: Basic Skills Placement

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

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 111 Algebra and Geometry with Applications
This is a course with emphasis on studying practical problems with mathematical models. Topics include: Problem solving, number theory, introduction to functions and modeling, systems of equations and matrices, exponential and logarithmic functions, linear inequalities in two variables and geometry.
Prerequisite: Math 110

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 116 Precalculus
This course prepares students for calculus by studying relations, functions and their applications, and graphs. The functions studied include polynomial, rational, exponential, logarithmic and trigonometric functions.
Prerequisite: MATH 115 or Department Chairperson's permission

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 140 Quantitative Mathematics I
An introduction to functions, equations, matrix algebra, linear programming, and mathematics of finance. Topics include Equations and Inequalities, Functions and Graphs, Matrix Algebra, Linear Programming: Graphical Analysis as well as the Simplex Method, and Mathematics of Finance, Markov Chains
Prerequisite: None, but there will be a placement exam and students who don't pass this exam are advised to take an Intermediate Algebra course before they enroll in this course.

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 160 Calculus I
Limit and continuity of functions,derivatives, differentiation of algebraic and trigonometric functions, applications (including related rates and optimization), differentials, antiderivatives; integration, definite and indefinite integrals, Fundamental Theorem of Calculus, numerical integration, applications (area between two curves).
Prerequisite: Math 116
4 credits

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 200 Logic and Methods of Higher Mathematics
An introduction to rigorous reasoning through logical and intuitive thinking. The course will provide logical and rigorous mathematical background for study of advanced math course. Students will be introduced to investigating, developing, conjecturing, proving and disproving mathematical results. Topics include formal logic, set theory, proofs, mathematical induction, partial ordering, relations, functions.
Prerequisite: MATH 160

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 202 Linear Algebra
An introductory course in the theory of linear transformations and vector spaces. Topics include: systems of equations, matrices, determinants, inner product spaces, eigenvalues and eigenvectors.
Prerequisite: MATH 161

MATH 211 The History of Mathematics
A survey of the historical development of mathematical thought from ancient times to the present. The actual content of the course may vary by instructor. Possible topics include: Babylonian, Egyptian, Greek, Chinese, Hindu, and Arabian mathematics; European mathematics in the middle ages and the Renaissance; the development of calculus, number theory, abstract algebra, non-Euclidean geometry, and set theory.
Prerequisite: MATH 161

MATH 230 Statistics
A rigorous course for math and science majors covering: measures of central tendency, measures of variation, graphical techniques for univariate and bivariate data, correlation and regression, probability, binomial and normal distributions, estimation, confidence interval, testing of hypothesis, contingency tables, analysis of variance, nonparametric methods; use of packages such as SAS, Minitab , etc. is strongly emphasized.
4 credits

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 302 Advanced Calculus
Continuity, partial derivatives and differentiability of functions on the Euclidean space. Inverse and implicit function theorems. Integration of function on Euclidean Space., Fubini's Theorem. Differential forms and the fundamental Theorem of Calculus.
Prerequisite: MATH 201 and (MATH 200 or CS 260)

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 324 Probability and Statistics
A mathematical treatment of probability as well as statistics. Topics include probability axioms, discrete and continuous sample spaces, random variables, mathematical expectation, probability functions; densities, basic discrete and continuous distribution functions; functions of random variables and their distributions. Also covered is Central Limit Theorem, confidence intervals, hypothesis testing and Linear regression. Software such as SAS or Minitab will be used for testing and regression problems.
Prerequisite: MATH 161
4 credits

MATH 325 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 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 380 Mathematical Models and Applications
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 399 Selected Topics
A topic not covered by an existing course is offered as recommended by the department and approved by the dean. The number of credits for MATH 399 may vary from 1 to 3 for a selected topic. MATH 399 can not be credited more than twice, each on a different topic, towards degree requirements.
Prerequisite: Department Chairperson's permission
1-3 credits

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 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 422 Complex Analysis
Elements of complex analysis. Topics include: complex numbers, analytic functions, Cauchy integral theorem, Cauchy integral formula, power series and conformal mapping.
Prerequisite: MATH 302 or MATH 322

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 424 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 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

MATH 499 Independent Study
An individual research project under the direction of a faculty member and with the approval of the chairperson. The number of credits for each independent study may vary from 1 to 3 per semester, up to a limit of 6 credits.
1-3 credits