Academics

Course Descriptions

MAT 098. Mathematical Skills. (3)

A course in basic mathematical skills. Required for those students who lack the minimum competency necessary for success in Mathematics 099, 121, 122, 221, and 222. This course does NOT satisfy the Core Curriculum requirement in Area D-2 or D-3. Not open for credit to students with credit in Mathematics beyond MAT 098.

MAT 099. Algebra. (3)

Prerequisite: MAT 098 or placement by examination only.

A basic skills course in algebra designed to improve mathematical skills of those students who need, but are not ready to begin a course in precalculus, computer science, business, or statistics. This course does NOT satisfy the Core Curriculum requirement in Area D-2 or D-3. Offered every semester.

 

MAT 121, 122. Mathematics for the Liberal Arts. (3, 3)

Prerequisite: MAT 099 or suitable placement by examination.

A course on the methods and ideas of mathematics as they relate to the liberal arts. Topics such as sets, logic, mathematics and the fine arts, properties of functions, elementary probability and statistics, game theory social choice, financial mathematics, number theory, graph theory, and binary operations will be covered. Satisfies Core Curriculum in Area D-2 or D-3. MAT 121 offered fall semester; MAT 122 offered spring semester.

MAT 150. Precalculus Mathematics. (4)

Prerequisite: MAT 099 or suitable placement by examination.

An integrated treatment of algebra and trigonometry sufficient to prepare qualified students to begin a calculus sequence in their freshman year. Concepts of set and function are developed at the outset and used throughout the course. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.

MAT 200. Applied Statistics. (3)

Prerequisite: MAT 099 or suitable placement by examination.

A data-oriented approach to statistics by arguing from the sample to the population. Topics include combinatorics, random variables, sampling distributions, estimation, tests of statistical hypotheses, regression, correlation, ANOVA, and nonparametric methods. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.

MAT 211: Calculus I—Differential Calculus. (4)

Prerequisite: MAT 150 or placement by the department.

A first semester calculus course. Topics include limits, applications and methods for differentiation in a single variable, and an introduction to integration. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.

MAT 212: Calculus II—Integral Calculus. (4)

Prerequisite: MAT 211 or placement by the department.

A second semester calculus course. Topics include techniques and applications for integration and an introduction to sequences. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.

MAT 221. Basic Concepts of Mathematics. (3)

A study from the early childhood and elementary school teacher‘s point of view of the structure of numbers, numeration systems, fundamental operations and set theory. Required of all Early Childhood and Elementary Education majors.

A grade of  "C" or better is required for Elementary Education majors. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered fall semester.

MAT 222. Geometry for Early Childhood/Elementary Teachers. (3)

A study to develop geometric intuition and insight of such concepts as congruence, measurement, parallelism, and similarity. Required of all Early Childhood and Elementary Education majors.

A grade of "C" or better is required for Elementary Education majors. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Mathematics 222 will meet Core Curriculum requirements, Area D-2, for only Early Childhood/Elementary Education majors. Offered spring semester.

 

MAT 227. Discrete Mathematics. (3)

Prerequisite: MAT 099 or suitable placement by examination. Topics covered include number theory, formal logic, induction, combinatorics, probability, discrete random variables, and Boolean algebra.

Satisfies Core Curriculum in Area D-2 or D-3.

MAT 300. Calculus III: Multivariable Calculus. (4)

Prerequisite: MAT 212. (PHY 213 may be taken concurrently with MAT 300.)

A study of infinite series and linear algebra treatment of multivariable calculus.

MAT 334. Linear Algebra. (3)

Prerequisite: MAT 212 or permission of department.

Topics include the theory of finite dimensional vector spaces and matrices treated from the standpoint of linear transformations. Required for state teacher certification in Mathematics.

MAT 335. Modern Geometry. (3)

Prerequisite: MAT 121 or higher.

A study of modern geometry including history, current axiom systems, and alternate developments of geometry using coordinates, vectors, and groups. Required for state teacher certification in Mathematics.

MAT 336. Methods of Teaching Secondary Mathematics. (3)

Prerequisite: MAT 150 or higher.

This course is designed to give teacher candidates practical training in the teaching of mathematics on the secondary level (9-12). Teacher candidates will become familiar with the national and state curriculum standards for mathematics instruction. They will develop an understanding of instructional strategies, activities, and materials essential for effective teaching of mathematics in secondary schools. Twenty-four hours of field experience will be required. Required for teacher certification in Mathematics. Open only to students in the Teacher Education Program. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3.

MAT 338. Vector Analysis. (3)

Prerequisite: MAT 300.

A study of the algebra of vectors and the calculus of vector-valued functions. Topics include vector identities, space curves, and the gradient, divergence, and curl of vector functions. Also considered are line and surface integrals including the Divergence Theorem, Green‘s Theorem, and Stoke‘s Theorem.

Offered at departmental discretion.

MAT 341. Differential Equations. (3)

Co-requisite: MAT 300.

Methods for the solution of differential equations of the first order and special equations of the second order.

 

MAT 342. Applied Mathematics. (3)

Prerequisite: MAT 341 or permission of instructor.

Topics include curvilinear coordinate systems, Fourier Series, and transforms. Boundary value problems of interest to science and mathematics students. An introduction to the calculus of residues. Laplace transforms and the inversion integral. Offered at departmental discretion.

MAT 428. Discrete and Continuous Probability. (3)

Prerequisite: MAT 212.

A study of chance from a theoretical perspective. Topics include: random variables, moment-generating functions, conditional probability and stochastic independence, sampling distributions, the Central Limit Theorem.

MAT 433. Modern Abstract Algebra. (3) Prerequisite: MAT 212 or consent of the department. Topics include groups, rings, and fields. Required for state teacher certification in Mathematics.

MAT 443. Mathematical Analysis. (3)

Prerequisite: MAT 300.

Topics include the study of point sets on the line and in the plane, continuity of functions in these spaces, Stieljes integration, function spaces, and convergence. Offered at departmental discretion.

MAT 445. Complex Analysis. (3)

Prerequisite: MAT 300.

A study of the algebra and calculus of complex numbers. Specific topics include analytic and elementary functions, mappings by elementary functions, the Cauchy integral formula, Taylor and Laurent Series, and residues and poles. Offered at departmental discretion.

MAT 490. Special Topics in Mathematics. (3)

Prerequisite: Permission of instructor.

Topics to be selected by the instructor. Students may receive credit for more than one MAT 490 course, but students may not repeat the topics.

MAT 491. Independent Study. (1-3)

Independent study in a selected field or problem area of mathematics. The topic or problem to be studied will be chosen in consultation with departmental faculty under whose guidance the study will be conducted. Subject to rules and regulations on page 64 of the Catalog.

MAT 495, 496. Internship. (1-3, 1-3)

Internships or practical experience in an approved program of study.

Limited to majors in the department. Subject to regulations and restrictions on page 64 of the Catalog.

MAT 499. Senior Essay. (1-3)

A project requiring scholarly research. Topics to be selected by the instructor. Students may receive credit for more than one MAT 490 course, but students may not repeat the topics. Subject to rules and regulations on page 65 of the Catalog.

Course Descriptions