MAT 403 Abstract Algebra II (3 Credit Hours)

Prerequisite: MAT 303A

Topics include normal subgroups, ideals, morphisms of groups and rings, fields and field extensions with examples and applications. Three lecture hours per week.  Not open to students who have received credit for MAT 404.

MAT 406 Modern Geometry (3 Credit Hours)  W   

Prerequisite:  MAT 304A

A study of topics in advanced geometry from three perspectives: synthetic, analytic, and transformational. Topics include advanced results in Euclidean geometry, axiomatic development of Euclidean and non-Euclidean geometries, the use of coordinates, transformations, and symmetries.  Writing, primarily in the form of mathematical proof, is an essential component of the course. Three lecture hours per week.  Required of all Mathematics Majors with a Secondary Education Minor. Not open to students who have received credit for MAT 405.

MAT 407 Probability and Mathematical Statistics I (3 Credit Hours)

Prerequisite: MAT 221

Topics include: probability models, random variables and their probability distributions, expectation, variance, moment and moment generating functions, regression and correlation. The binomial, Poisson, exponential, normal, chi-square, t and F distributions will also be studied. Three lecture hours per week. Required of all Mathematics Majors with a Secondary Education Minor.

MAT 409 Complex Variables (3 Credit Hours)

Prerequisite: MAT 221

Functions of a complex variable. Cauchy-Riemann equations, Cauchy's integral theorem and formula, the calculus of residues, series expansions of analytic functions, singularities, and contour integration will be discussed. Three lecture hours per week.

MAT 410 History of Mathematics (3 Credit Hours)

Prerequisite: MAT 303

A survey of the fundamental developments in mathematics from ancient to modern times, with special attention to the historical and logical bases of geometry, algebra, and analysis. Three lecture hours per week.

MAT 411 Real Analysis (3 Credit Hours)

Prerequisite: MAT 221

A rigorous treatment of the theorems on sequences, limits, continuity, derivatives, and integrals which are fundamental to all of real analysis. Three lecture hours per week.

MAT 412 Topology (3 Credit Hours)

Prerequisite: MAT 221

Topics include topological spaces, metric spaces, connectedness, compactness, and product and quotient spaces: additional topics as time permits.  Three lecture hours per week.

MAT 413 Ordinary Differential Equations (3 Credit Hours)

Prerequisite: MAT 221

The methods of solving linear and elementary nonlinear ordinary differential equations: variation of parameters, series solutions, Laplace transforms and applications. Three lecture hours per week.

MAT 414 Linear Algebra II (3 Credit Hours)

Prerequisite: MAT 304A

A continuation of Linear Algebra I. Topics include inner product spaces, canonical forms, quadratic forms, and similarity, Hermitian, Unitary, and normal transformation. Three lecture hours per week.

MAT 415 Geometric Structures (3 Credit Hours)

Prerequisite: MAT 303

An analysis of various geometric structures, especially projective geometry and its relation to certain algebraic structures. Three lecture hours per week.

MAT 417 Probability and Mathematical Statistics II (3 Credit Hours)

Prerequisite: MAT 407

Introduction to statistical inference, sampling distributions, decision theory, theory of estimations, tests of hypotheses, analysis of variance. Three lecture hours per week.

MAT 420 Special Problems Seminar (3 Credit Hours)

Prerequisite: MAT 303

Topics to be selected by the instructor

MAT 421 Advanced Calculus (3 Credit Hours)

Prerequisite: MAT 320

Functions of several variables, implicit functions and Jacobian determinants, line and surface integrals, and the theorems of Green and Stokes will be discussed. Three lecture hours per week.

MAT 424 Operations Research (3 Credit Hours)

Prerequisite: MAT 308 and knowledge of a scientific programming language

Theory of games, functional equations, dynamic programming, simulation, models, optimization, with applications to system design, economics, engineering and management. Three lecture hours per week.

MAT 427 Statistical Experimental Design (3 Credit Hours)

Prerequisite: MAT 247 or MAT 407

An overview of the fundamental designs used to analyze experimental data. Topics include simple and multiple linear regression, analysis of variance, two-group discriminant analysis, factor analysis, time series analysis, and the analysis of categorical data. There will be extensive use of statistical software packages on the computer. No open to students who have previously completed MAT 347. Three lecture hours per week.

MAT 500 Directed Study in Mathematics (3 Credit Hours)

Prerequisite: At least one 400 level math course (with a grade of C or above), Junior or Senior standing, agreement of a Department faculty member to act as supervisor and permission of the Mathematics Department Chairperson

The purpose of this course is to provide the student with an opportunity to explore in depth an area of mathematics that would not ordinarily be encountered in the program of required courses. It is recommended that the student take as many of the required courses as possible before enrolling in Directed Study. Credit for this course may not be applied toward Major requirements.

MAT 520 Mathematics Internship (3 credit hours)

Prerequisite: Permission of the faculty supervisor and of Department Chairperson.

An opportunity for students to gain practical or technical training in an industrial/commercial/research environment. The student makes the necessary arrangements with the chosen facility, in consultation with an appropriate faculty member. The internship must meet College Academic Policies (described elsewhere in this Catalog) and Mathematics Department Policy (available in the Mathematics Department). Open only to Junior/Senior Mathematics Majors who have obtained a faculty sponsor for this internship.

MAT 572 Mathematics Research I (3 credit hours)

Prerequisite: Permission of the faculty supervisor and of Department Chairperson.

This course provides qualified students with research direction and the opportunity to participate in independent work in any area of mathematics of special interest to them, provided that a faculty supervisor is available. A paper and poster presentation are required at the end of the course. Open only to Junior/Senior Mathematics Majors.

MAT 573 Mathematics Research II (3 credit hours)

Prerequisite: Permission of the faculty supervisor and of Department Chairperson.

This course builds on MAT 572, continuing with the same project or starting with a new project. Students in this course will be expected to present their results in a professional setting. Open only to Junior/Senior Mathematics Majors.