MATH - Mathematics

MATH 023 Intermediate Algebra (3)

Elementary concepts of algebra including quadratic equations, the function concept and systems of linear equations. "This basic skills course does not count for university credit nor in the GPA."

MATH 120 Mathematics and Liberal Arts (3)

Prerequisite: Minimum of one full year of high school algebra with a grade of "C" or better. Non-majors only. Learn about several topics in mathematics through intuitive presentation to help those who want to know more about mathematics. Not open to mathematics majors and minors. (LAC, gtP)

MATH 124 College Algebra (4)

Prerequisite: Full year of modern, second year high school algebra with the grade of "C" or better. Treat quadratic, exponential and logarithmic functions. Topics from matrices and the theory of equations. (LAC, gtP)

MATH 125 Plane Trigonometry (3)

Prerequisite: MATH 124 or equivalent High School course with grade of "C" or better. Study circular functions and their applications, inverse trigonometric functions and identities and cover complex numbers through DeMoivre's Theorem. (LAC, gtP)

MATH 127 Elementary Functions (4)

Prerequisite: Full year of modern, second year high school algebra with the grade of "B" or better. Develop those skills required in calculus, including polynomial functions, exponential and logarithmic functions, trigonometric functions, vectors, analytic geometry and polar coordinates. (LAC, gtP)

MATH 131 Calculus I (4)

Prerequisite: High school mathematics up to and including trigonometry (with a grade of "C" or better-GPA 2.0 or above) or college-level trigonometry or elementary functions (with a grade of "C" or better-GPA 2.0 or above). First course in a three course sequence in calculus. Differentiation and related concepts, applications of derivatives, including exponential, logarithmic and trigonometric functions. (LAC, gtP)

MATH 132 Calculus II (4)

Prerequisite: MATH 131 with the grade of "C" or better. Second course in three course sequence in calculus. Integration and applications of integration, sequences and series. (LAC, gtP)

MATH 176 Topics in Calculus (3)

Prerequisite: MATH 124 or MATH 175 or equivalent; or two years of high school algebra with a grade of "C" or better. Techniques and applications of differential and integral calculus with an emphasis on applications to economics and business.

MATH 181 Fundamentals of Mathematics I: Number and Operations (3)

First of three courses designed for prospective elementary teachers. Emphasizes the real number system and arithmetic operations. Explorations focus on mathematical structures and subsets of real numbers, via patterns, relationships, and properties. Content presented using problem solving and exploration. (LAC, gtP)

MATH 182 Fundamental Mathematics II: Algebra, Probability and Data Analysis (3)

Prerequisite: MATH 181 with "C" or better. Second of three courses designed for prospective elementary teachers. Emphasizes algebra, probability, and data analysis. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and probabilities. (LAC, gtP)

MATH 221 Elementary Linear Algebra (3)

Prerequisite: MATH 132 with the grade of "C" or better. Vector spaces, linear transformations, matrices, determinants, eigenvalues and eigenvectors, applications.

MATH 228 Discrete Mathematics (3)

Prerequisite: MATH 131 with the grade of "C" or better. A survey course of non-calculus based mathematics used extensively in computer science and other disciplines. Study sets, types of proofs, logic, recursion and related topics.

MATH 233 Calculus III (4)

Prerequisite: MATH 132 with the grade of "C" or better. Third course in a three course sequence in calculus. Differentiation and integration of functions of several variables, vector functions, parametric equations, Green's Theorem.

MATH 283 Fundamental Mathematics III: Geometry and Measurement (3)

Prerequisite: MATH 182 with "C" or better (GPA 2.0 or above). Third of three courses designed for prospective elementary teachers. Emphasizes development of spatial reasoning in geometry and measurement. Explorations focus on two- and three-dimensional shapes, their properties, measurements, constructions, and transformations.

MATH 321 Introduction to Abstract Algebra I (3)

Prerequisites: MATH 221 and MATH 228 with the grade of "C" or better. An introduction to abstract algebra. Topics will include: basic number theory, group theory, geometrical connections and mappings.

MATH 322 Introduction to Abstract Algebra II (3)

Prerequisites: MATH 321 with a grade of "C" or better. A continuation of MATH 321. Topics will include: rings, integral domains, fields and Galois theory.

MATH 335 Differential Equations I (3)

Prerequisite: MATH 233 with the grade of "C" or better. Study the theory and solutions of ordinary differential equations including applications.

MATH 336 Differential Equations II (3)

Prerequisite: MATH 335 with the grade of "C" or better. Continuation of MATH 335. The existence and uniqueness theory, systems of equations, boundary value problems and an introduction to partial differential equations.

MATH 341 Introduction to Modern Geometry I (3)

Prerequisites: MATH 228 with the grade of "C" or better. Explores Euclidean and non-Euclidean geometries from multiple perspectives, with an emphasis on developing problem solving, communication, and logical reasoning skills.

MATH 342 Introduction to Modern Geometry II (3)

Prerequisites: MATH 221, MATH 228 and MATH 341 with a grade of "C" or better or consent of instructor. Continuation of Math 341. This course will continue the study of the foundations of geometry, exploring Euclidean and non-Euclidean geometries.

MATH 350 Elementary Probability Theory (4)

Prerequisite or concurrent enrollment in MATH 132. An introduction to probability. Topics include descriptive techniques, regression counting techniques, probability random variables, probability distributions, mathematical expectations, moment generating functions, transformations, point estimation, confidence intervals and hypothesis testing.

MATH 351 Elementary Statistics Theory (3)

Prerequisite: MATH 350; MATH 233 (or concurrent enrollment) with a grade of "C" or better. A continuation of MATH 350. Learn about jointly distributed random variables, central limit theorem, sampling distributions, properties of estimation, confidence intervals and tests of hypothesis.

MATH 375 Elementary Numerical Analysis (3)

Prerequisites: MATH 221 with the grade of "C" or better, MATH 233 and ability to program. Numerical solutions of equations and systems of equations; interpolation and approximation; numerical differentiation and integration; numerical solutions of differential equations.

MATH 391 Introduction to Number Theory (3)

Prerequisites: MATH 228. Topics will include basic properties of the Natural Numbers, prime numbers, divisibility, factorization, congruences, Euler's phi function, introduction to Diophantine Equations and some group theory.

MATH 395 Topics in Mathematics for Teachers (3)

Prerequisites: MATH 182, MATH 228. Emphasis will be on problem solving skills, reasonableness of answers, using calculators and computers and on problem posing.

MATH 422 Directed Studies (1-3)

Individualized investigation under the direct supervision of a faculty member. (Minimum of 37.5 clock hours required per credit hour.) Repeatable, maximum concurrent enrollment is two times.

MATH 431 Basic Analysis I (4)

Prerequisite: MATH 233 with grade of "C" or better. Sequence of two courses to extend studies of calculus and analysis into the mathematical rigor and logic of analysis. Includes: real numbers, sequences, topology, limits, continuity, differentiation, series and integration.

MATH 432 Basic Analysis II (4)

Prerequisite: MATH 431 with grade of "C" or better. Continuation of MATH 431.

MATH 437 Mathematical Modeling (3)

Prerequisites: MATH 221 and MATH 233 with a grade of "C" or better. Use mathematical tools to develop models of practical problems. Emphasize development, verification and interpretation of models and communication of results.

MATH 460 Introduction to Complex Analysis (3)

Prerequisite: MATH 233 with a grade of "C" or better or equivalent. First course in complex variables, especially for potential calculus teachers. After preliminaries, proceed directly to power series, Laurent's series, contour integration, residue theory, polynomials and rational function.

MATH 464 Introduction to History of Mathematics (3)

Prerequisites: MATH 221, MATH 228, MATH 341. Junior or above in Mathematics. Survey of mathematical conceptual development and the people involved from antiquity to the present, including pedagogical applications, content connections, and use of reference resources.

MATH 495 Topics in Mathematics (1-3)

Consent of instructor. Surveys topics in areas such as geometry, analysis, algebra, statistics, numerical analysis, topology and number theory not in existing courses, which reflect specific interests of instructors and students. Repeatable, under different subtitles.

MATH 508 Workshop (1-3)

A variety of workshops on special topics within the discipline. Goals and objectives will emphasize the acquisition of general knowledge and skills in the discipline. Repeatable, under different subtitles.

MATH 510 Seminar in Mathematics (1)

Study discussion and student presentation of topics in mathematics.
S/U graded. Repeatable, under different subtitles.

MATH 513 Professional Renewal (1-3)

Update skills and knowledge of professionals in the discipline. Goals and objectives will be specifically directed at individual professional enhancement rather than the acquisition of general discipline knowledge or methodologies. S/U or letter graded. Repeatable, under different subtitles.

MATH 520 Functions and Equations (3)

Graduates only. Polynomial equations including DeMoivre's Theorem, the Fundamental Theorem of Algebra, methods of root extraction (e.g. Newton, Graffe) multiplicities, symmetric functions, matrices and determinants. Elementary computer applications.

MATH 523 Modern Algebra (3)

A study of groups, rings and fields with a special emphasis on groups and fields.

MATH 525 Linear Algebra I (3)

Prerequisite: MATH 321. Vector spaces, linear transformations, matrices, eigenvalues, canonical forms, quadratic forms and other selected topics.

MATH 528 Discrete Mathematics (3)

Graduates only. Broad, deep, survey of topics in combinatorics, graph theory addressing existence, enumeration, optimization. Blend of mathematics, applications and development of mathematical reasoning skills, guided by the NCTM standards.

MATH 529 Mathematical Problem Solving (3)

Graduates only. Techniques in problem solving applied to algebra, number theory, geometry, probability, discrete mathematics, logic and calculus. A study of Polya's heuristic rules of mathematical discovery.

MATH 531 Basic Analysis I (4)

Prerequisite: MATH 233 with a grade of "C" or better (GPA 2.0 or above) and permission of instructor. Sequence of two courses to extend studies of calculus and analysis into the mathematical rigor and logic of analysis. Includes: real numbers, sequences, topology, limits, continuity, differentiation, series and integration.

MATH 532 Basic Analysis II (4)

Prerequisite: MATH 531. Continuation of MATH 531.

MATH 534 Continuous Mathematics (3)

Graduates only. Students will explore selected topics in mathematical analysis such as differential mappings and chaotic systems.

MATH 537 Mathematical Modeling (3)

Graduates only. Introduction to the process of mathematical modeling and its use in teaching secondary school mathematics. Emphasizes development and communication of models.

MATH 540 Introduction to Topology (3)

Point-set topology and the foundations of real analysis.

MATH 543 Modern Geometry (3)

A survey of both traditional Euclidean geometry and contemporary geometries, in which applications of geometry are integrated into the study of the mathematical structure of geometrical systems.

MATH 545 Introductory Analysis (3)

Prerequisite: MATH 540. Sequences, series, differentiation, Riemann-Stieltjes Integral, series of functions, special functions and functions of several variables.

MATH 550 Applied Probability and Statistics (3)

Graduates only. Concepts include history, counting techniques, distributions and inference (confidence intervals, point estimation, testing, ANOVA, regression, non-parametrics). The Context focus is secondary level mathematics.

MATH 560 Introductory Complex Variables (3)

Prerequisite: MATH 432 or equivalent. First course in complex variables, especially for potential calculus teachers. After preliminaries, proceed directly to power series, Laurent's series, contour integration, residue theory, polynomials and rational functions.

MATH 591 Abstract Algebra and Number Theory (3)

Basic methods of problem solving in abstract algebra and number theory with applications in secondary school mathematics.

MATH 609 Abstract Algebra I (3)

Prerequisite MATH 523 or equivalent. Groups and rings and their structure. Sylow theorems. Modules. History and applications.

MATH 622 Directed Studies (1-4)

Individualized investigation under the direct supervision of a faculty member. (Minimum of 37.5 clock hours required per credit hour.) Repeatable, maximum concurrent enrollment is two times.

MATH 623 Abstract Algebra II (3)

Prerequisite MATH 609. Polynomial Noetherian rings and ideals. Fields and Galois theory. Structure of fields. History and applications.

MATH 632 Complex Variables (3)

Prerequisite: A course in complex analysis. Analytic and meromorphic functions in the complex plane. Integration, conformal mapping and advanced topics.

MATH 633 Geometric Analysis (3)

Prerequisites: MATH 525; MATH 540 recommended. Analysis of functions of several variables, unifying and extending ideas from calculus and linear algebra. Includes the implicit function theorem and Stokes' Theorem.

MATH 635 Real Analysis (3)

Abstract spaces, Lebesque measure, continuity, integration and differentiation theorems, Baire category.

MATH 644 Differential Geometry (3)

Prerequisite: A course in Analysis. A course in the differential geometry of curves and surfaces. Both modern and classical aspects will be covered.

MATH 664 Difference Equations and Chaos (3)

Applications of difference equations in problem solving and modeling, especially in the area of chaos.

MATH 678 Mathematical Logic (3)

The notion of proof, first order logic, set theory, ordinals, cardinals and an overview of the most important recent results in the field.

MATH 691 Number Theory (3)

Prerequisite: MATH 632. A survey of topics in arithmetic and analytic number theory, such as Eulers' function, quadratic reciprocity, continued fractions and the distribution of prime numbers.

MATH 695 Special Topics (3)

Topics from various fields of mathematics, for example, algebraic topology, functional analysis, Lie groups and algebras or nonlinear analysis. Repeatable, may be taken two times, under different subtitles.

MATH 700 Advanced Seminar (2)

Consent of Instructor. An advanced seminar in an active area of mathematical research. Content depends upon instructor's choice. Repeatable, may be taken two times, under different subtitles.

MATH 727 Representation Theory (3)

Introduction to Representation Theory of various mathematical structures. Emphasis is on group representations.

MATH 728 Topics in Discrete Mathematics (3)

Prerequisite: MATH 678. A broad yet deep survey of current topics in combinatorics and graph theory essential for teachers K-16, including applications to probability, coding theory, sorting and matching algorithms and optimization.

MATH 736 Real Analysis II (3)

Prerequisite: MATH 635. Topics from real and functional analysis such as: measure theory, distributions, metric spaces and other topics of the instructor's choice.

MATH 797 Doctoral Proposal Research (1-4)

Required of all doctoral students. Four hours of credit for doctoral dissertation proposal research must be earned in partial fulfillment of requirements before admission to candidacy. Repeatable, maximum of four credits.

MATH 799 Doctoral Dissertation (1-12)

Required of all doctoral candidates. S/U grading. Repeatable, no limitations.