Department of Mathematics

§ Courses§

Either MAT 095 or a satisfactory score on the mathematics placement exam is prerequisite to all other mathematics courses except MAT 104.

The Department offers both Bachelor of Arts and Bachelor of Science degrees in mathematics, as well as a mathematics minor.

095.Intermediate Algebra

An introductory course in algebra which includes the study of the fundamental algebraic operations, factoring, algebraic fractions, equations and inequalities, exponents and radicals. (Does not count toward hours required for graduation.)

104. Introduction to Finite Mathematics

This course is designed to provide students with some insight into the beauty and challenge of mathematics and its impact on society. Topics include logic, shape, quantity, change, uncertainty and some fundamental dichotomies (finite and infinite, discrete and continuous).

121. Concepts in Calculus

Prerequisite: MAT 095 or its equivalent.

The course emphasizes the concepts in differential and integral calculus and applications of those concepts. The material is made accessible to students with a limited mathematical background by restricting attention to a simple class of functions - polynomial functions in most cases and rational functions where appropriate.

131. College Algebra: Functions and Graphs

Prerequisite: MAT 095 or equivalent.

Topics include graphs and functions (linear, quadratic, polynomial, rational, exponential, and logarithmic).

133. Precalculus

Prerequisite: MAT 095 or equivalent.

Topics include graphs, functions (linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric), and trigonometric identities. (4 credit hours)

141. Calculus for the Social Sciences

Prerequisite: MAT 131, 133, or equivalent.

Students who have not completed MAT 133 and who plan to register for this course should take the mathematic placement exam administered by the Department. A high score on this exam will meet the prerequisite for the course.

A study of the derivative of algebraic, exponential, and logarithmic functions and an introduction to integration. Business applications are stressed. Credit cannot be earned in both MAT 141 and MAT 191. Students who plan to major in mathematics, chemistry, or physics should take MAT 191.

191. Calculus I

Prerequisites: MAT 133 or equivalent.

Students who have not completed MAT 133 and who plan to register for this course should take the mathematics placement exam administered by the Department. A high score on the exam will meet the prerequisite for the course.

Topics include: A study of functions involving limits, continuity, derivatives, and antiderivatives; the definite integral and Fundamental Theorem of Calculus.

Credit can be earned for only one of MAT 141, 171, and 191. (4 credit hours)

192. Calculus II

Prerequisites: MAT 191 or consent of the instructor.

Topics include: Methods of numerical integration, applications of the definite integral, techniques of antidifferentiation, improper integrals, infinite series, differential equations, and polar coordinates. Credit cannot be earned for both MAT 172 and MAT 192. (4 credit hours)

225. Topics in Discrete Mathematics

Prerequisite: MAT 191.

Topics include sets, functions, Boolean algebra, elementary graph theory, techniques of counting, and methods of proof (including induction and contradiction). (4 credit hours)

226. Elementary Statistical Methods

Prerequisite: MAT 095 or equivalent.

An introduction to basic descriptive and inferential statistics. Includes measures of central tendency and variability; the binomial, normal, student's t, and chi-square distributions; correlation techniques involving Pearson's r. The emphasis is on applications rather than on mathematical theory. Credit for MAT 226 will not be granted after credit has been earned in MAT 320.

227. Intermediate Statistical Methods

Prerequisite: MAT 226 or equivalent.

An analysis of sampling techniques; analysis of variance including factorial designs; non-parametric methods of hypothesis testing, correlation, and significance of correlation; multiple and partial correlation. Computer techniques will be stressed.

240. Elementary Matrix Theory

Prerequisite: MAT 192.

Topics will include: solution of systems of linear equations, vectors in n-dimensional Euclidean space, scalar products, matrix operations, determinants, eigenvalues and eigenvectors, some theorems on diagonalization. Students will be expected to write programs to perform some computational procedures. Credit for MAT 240 will not be granted after credit has been earned in MAT 340.

260. Introduction to Abstract Mathematics

Prerequisite: MAT 192.

A course designed to facilitate the transition to mathematics courses in which the student is expected to prove theorems. Topics include sets, logic, methods of proof, relations, and number systems.

293. Multivariable Calculus

Prerequisite: MAT 192.

Topics include vector calculus; limits and continuity of functions of several variables; partial derivatives and applications; multiple integrals and applications.

317. Survey of Mathematics

Prerequisite: MAT 213 or MAT 133.

A study of topics intended to give insight into the nature of mathematical thinking and how it is applied to the natural and social sciences. There is a strong emphasis on geometry, including shapes, measurement, plane and solid figures, and coordinate geometry. Elementary probability and statistics are introduced.

320. Introduction to Probability and Mathematical Statistics

Prerequisite: MAT 192.

A study of sample spaces, conditional probability and independent events; random variables and their distributions both discrete and absolutely continuous; expected value; variance, and regression; Law of Large Numbers and Central Limit Theorem; sampling; estimation; testing of hypotheses. Credit for MAT 226 will not be granted after credit has been earned in MAT 320.

330. Introduction to Differential Equations

Prerequisite: MAT 192

A study of ordinary differential equations using qualitative, numerical and analytic approaches. Topics include first order differential equations, second order linear differential equations, systems of equations, Laplace transformations and applications.

335. Numerical Methods

(Same as CSC 335)

Prerequisites: MAT 192 and Ability to write programs in a high level language.

A study of numerical methods for the solution of mathematical problems and computer application of those methods. Topics will include: methods such as the bisection algorithm and fixed point iteration for the solution of equations with a single variable, interpolation and polynomial approximation, numerical differentiation and integration, solution of systems of linear equations, and least squares approximation.

340. Linear Algebra

Prerequisites: MAT 192 and MAT 260 or consent of instructor.

An introduction to the algebraic structure of vector spaces; the theory of matrices; the application of matrices to the study of vector spaces; systems of linear equations and linear transformations.

350. College Geometry

Prerequisite: MAT 340.

A rigorous study of the properties of Euclidean geometry, with special attention to incidence and metric properties, and introduction to elementary properties of non-Euclidean geometries. Offered alternate years.

390. Topics in Mathematics (Subtitle)

Credit will be by arrangement.

A student may receive hours awarded as one, two, or three, and no more than three hours per course will be awarded, and total hours given will not exceed six. When credit in the proposed course is given, the topic studied will be stated as a subtitle.

401. Directed Independent Study

Prerequisite: Consent of instructor.

This course is intended to provide the student with the opportunity to study independently in an area of interest. Arrangement with the chair and the instructor is required.

402. Directed Independent Research

Prerequisite: Consent of instructor.

This course is intended to provide the student with the opportunity to do supervised research in an area of interest.

A student may receive hours awarded as one, two, or three, and no more than three hours per course will be awarded, and total hours given will not exceed six.

461-462. Abstract Algebra I and II

Prerequisite: MAT 340.

A study of groups, rings, and fields. Topics will include homomorphisms of groups and rings, quotient structures, polynomial rings, and extension fields.

481-482. Real Analysis I and II

Prerequisites: MAT 293 and 340.

A rigorous introduction to the system of real numbers; a study of the consequences of continuity, differentiability, integrability, and the elementary topology of the real numbers. Offered alternate years.

499. Senior Seminar in Mathematics

Prerequisites: Consent of the Instructor

A course designed to help students take a broad view of their mathematics education and to synthesize the disparate components of this education. Students will be expected to organize and deliver a mathematical presentation.