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Why Major In Math?

No student will be permitted to register for a mathematics course that is a prerequisite to a mathematics course for which the student has already received academic credit.


MAT 111. Statistics (ELECTIVE!)

4 hours

This course includes descriptive and inferential statistics with particular emphasis upon parametric statistics, rules of probability, interval estimation, and hypothesis testing. Distributions that will be discussed include the normal, chi-square, and t-distribution. Additional topics include analysis of variance, regression and correlation analysis, goodness-of-fit, and tests for independence.

Every semester.
 

MAT 131. Calculus I

4 hours

Calculus I, II, and III form the Calculus sequence for students in mathematics, physics, or chemistry. The objective of these three courses is to introduce the fundamental ideas of differential and integral calculus as they pertain to functions of both one and several variables.

Topics for Calculus I include limits, continuity, rates of change, derivatives, the Mean Value Theorem, applications of the derivative, curve sketching, related rates, optimization problems, and an introduction to area and integration.

Every Fall.

Prerequisite: MAT 103/Precalculus is * recommended* for students who would like a referesher in precalculus and/or trigonometry.

MAT 132. Calculus II

4 hours

This course is a continuation of Calculus I. Topics include the Fundametal Theorem of Calculus, inverse functions, exponential and logarithmic functions, techniques of integration, applications of integration, sequences, and infinite series.

Every Spring.

Prerequisite: MAT 131/Calculus I with a grade of "C-" or higher.
Alternate Prerequisite: MAT 121/Applied Calculus with a grade of "B-" or higher and permission of instructor.

 

MAT 233. Calculus III

4 hours

This course is a continuation of Calculus II. Topics include vectors, lines, planes, vector-valued functions of a real variable/curves, partial derivatives, multiple integrals, and a brief introduction to vector fields.

Every Fall.

Prerequisite: MAT 132/Calculus II with a grade of "C-" or higher.

MAT 241. Differential Equations

4 hours

The objective of this course is to introduce the fundamental ideas of the theory of ordinary differential equations and to consider some of the applications of this theory to the physical sciences. Topics include equations of order one, applications of equations of order one, linear differential equations, linear equations with constant coefficients, nonhomogenous equations, undetermined coefficients, variation of parameters, applications of equations of order two, and power series solutions.

Alternate Springs. See the major-level course rotation page for more details.

Prerequisite: MAT 233/Calculus III with a grade of "C-" or higher.
 

MAT 251. Classical and Modern Geometries

4 hours

This course provides a rigorous survey of classical and modern geometries. The intellectural and historical impact that geometry has had over the millennia is an underlying theme. Topics include: axiomatic and topological foundations; Euclidean geometry and its constructions; hyperbolic geometry; spherical geometry; projective geometry; and finite geometries. The primary audience consists of students interested in secondary mathematics teaching; however, mathematics major with other career paths and science majors are welcome.

Offered irregularly.

Prerequisite: MAT 132/Calculus II with a grade of "C-" or higher.
 

MAT 261. Proof & Logic: An Introduction to Post-Calculus Mathematics

4 hours

This course may be considered a general introduction to advanced mathematics. As such, it will consider various methods and techniques of mathematical proof. Topics are drawn from logic, set theory, functions, relations, combinatorics, graph theory, and boolean algebra.

Alternate Falls. See the major-level course rotation page for more details.

Prerequisite: MAT 132/Calculus II with a grade of "C-" or higher.

MAT 290. Special Topics in Mathematics

4 hours

Courses of selected topics will be offered periodically as determined by the needs of the curriculum.

Offered Irregularly.

Prerequisite: See the individual course listing in the current semester class schedule.

 

MAT 341. Probability

4 hours

This course provides a calculus-based study of probability theory. Topics include set-theoretic, axiomatic and combinatorial foundations, basic rules, conditional probability, independence, random variable theory, special discrete and continuous models, probability plots, and joint distributions.

Alternate Falls. See the major-level course rotation page for more details.

Prerequisite: MAT 132/Calculus II with a grade of "C-" or higher.

It is recommended that students have Math 233/Calculus III as a co-requisite for this course. See the instructor for questions about prerequesites and co-requisites.
 

MAT 351. Complex Analysis

4 hours

The objective of this course is to introduce the fundamental ideas of the theory of functions of a complex variable. Topics include complex numbers, analytic functions, elementary functions, conformal mapping, complex integration, and infinite series.

Alternate Springs. See the major-level course rotation page for more details.

Prerequisite: MAT 233/Calculus III with a grade of "C-" or higher.
 

MAT 362. Linear Algebra

4 hours

The objective of this course is to introduce the fundamental ideas of linear algebra. Topics include linear equations, matrices, determinants, vector spaces, inner products, linear transformation, eigenvalues, and eigenvectors.

Alternate Springs. See the major-level course rotation page for more details.

Prerequisite: MAT 132/Calculus II with a grade of "C-" or higher. It is recommended that students take MAT 261 before taking this course.

 

MAT 463. Abstract Algebra

4 hours

The objective of this course is to introduce the fundamental ideas of modern algebra. Topics include sets, mappings, the integers, groups, rings, and fields.

Alternate Falls. See the major-level course rotation page for more details.

Prerequisite: MAT 362/Linear Algebra with a grade of "C-" or higher.
 

MAT 481. Independent Study in Mathematics

1-4 hours

Supervised research on a selected topic. Prerequisite: Submission of a proposed outline of study that includes a schedule of meetings and assignments approved by the instructor, the division chair, and the Provost prior to registration.

Offered Irregularly.
 

MAT 490. Advanced Special Topics in Mathematics

4 hours

Selected topics in advanced mathematics are offered such as Real Analysis, Topology, Set Theory, Number Theory, Mathematical Statistics, Abstract Algebra II, and Differential Geometry.

Alternate Springs. See the major-level course rotation page for more details.

Prerequisites will depend on the topic but will include a minimum of MAT 233/Calculus III with a grade of "C-" or higher and permission of the instructor.
 

MAT 491. Internship in Mathematics

1-4 hours

An internship is designed to provide a formalized experiential learning opportunity to qualified students. The internship generally requires the student to obtain a faculty supervisor in the relevant field of study, submit a learning agreement, work 30 hours for every hour of academic credit, keep a written journal of the work experience, have regularly scheduled meetings with the faculty supervisor, and write a research paper dealing with some aspect of the internship. Written work should total five pages of academic writing for every hour of credit. An extensive list of internships is maintained by the Career Services Office, including opportunities at the Lynwood Park Community Center Education Program, Internal Revenue Service, and various actuarial and consulting firms. Graded on a satisfactory/unsatisfactory basis.

Offered as needed.

Prerequisites: Permission of the faculty supervisor and qualification for the internship program.

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