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 113 Professional Renewal (1-8)

Concentrate on various topics in mathematics, depending on instructor conducting course. Repeatable, under different subtitles.

MATH 120 Mathematics and Liberal Arts (3)

Prerequisite: Minimum of one full year of high school algebra with a grade of "C" or better and score at a predetermined level on the placement exam. 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. (GenEd)

MATH 124 College Algebra (4)

Prerequisite: Full year of modern, second year high school algebra with the grade of "C" or better and score at a predetermined level on the placement exam. Treat quadratic, exponential and logarithmic functions. Topics from matrices and the theory of equations. (GenEd)

MATH 125 Plane Trigonometry (3)

Prerequisite: MATH 124 or score at a predetermined level on the placement exam. Study circular functions and their applications, inverse trigonometric functions and identities and cover complex numbers through DeMoivre's Theorem. (GenEd)

MATH 127 Elementary Functions (4)

Prerequisite: Full year of modern, second year high school algebra with the grade of "B" or better and score at a predetermined level on the placement exam. Develop those skills required in calculus, including polynomial functions, exponential and logarithmic functions, trigonometric functions, vectors, analytic geometry and polar coordinates. (GenEd)

MATH 131 Calculus I (4)

Prerequisite: MATH 124 and MATH 125, or MATH 127, or trigonometry and two years of high school algebra, with a grade of "C" or better. First course in a three course sequence in calculus. Differentiation and related concepts, applications of derivatives, including exponential, logarithmic and trigonometric functions. (GenEd)

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. (GenEd)

MATH 175 Topics in Finite Mathematics (3)

Prerequisite: Two years of high school algebra with a grade of "C" or better and score at a predetermined level on the placement exam. Standard topics from finite mathematics: algebra, matrices, sets and probability. (GenEd)

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 (3)

First a problem-solving-based 3-course sequence particularly pertinent to prospective arithmetic teachers. Conceptually understand mathematical structures, including numeration systems, natural numbers, integers, rational numbers, relations, functions, and equations. (GenEd)

MATH 182 Fundamental Mathematics II (3)

Prerequisite: MATH 181. Continuation of MATH 181. Includes probability, statistics, measurement and applications of mathematics in science. (GenEd)

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 Informal Geometry (2)

Prerequisites: MATH 132, MATH 181. Study informal Euclidean geometry suitable for the K-8 curriculum, employing laboratory techniques where applicable.

MATH 305 Mathematics of Finance (3)

Prerequisite: Ability to solve algebraic equations and use logarithms. Study simple and compound interest, bank discount, annuities, amortization and insurance. Scientific or business calculator required.

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 geometry from multiple perspectives with an emphasis on the transformational perspective. Develops logical argument skills. Applications include tesselations, frieze patterns and shortest path problems.

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. Builds on Euclidean geometry background by proving classical and modern Euclidean geometry theorems. Study the foundations of geometry through investigating non-Euclidean geometries such as spherical and hyperbolic 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 387 Topics of Fundamental Mathematics (3)

This course examines topics of fundamental mathematics from a modern approach, modeling appropriate teaching techniques and technology.

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 25 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.