|
|
|
|
|
|
|
|
|
MATH — MathematicsElementary 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.”Prerequisite: Minimum of one full year of high school algebra with a grade of “C” or better (C- is not acceptable). 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)Prerequisite: Full year of modern, second year high school algebra with the grade of “C” or better (C- is not acceptable). Treat quadratic, exponential and logarithmic functions. Topics from matrices and the theory of equations. (LAC, gtP)Prerequisite: MATH 124 or equivalent High School course with grade of “C” or better (C- is not acceptable). Study circular functions and their applications, inverse trigonometric functions and identities and cover complex numbers through DeMoivre's Theorem. (LAC, gtP)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)Prerequisite: High school mathematics up to and including trigonometry (with a grade of “C” or better (C- is not acceptable) or college-level trigonometry or elementary functions (grade of “C” or better (C- is not acceptable). First course in a three course sequence in calculus. Differentiation and related concepts, applications of derivatives, including exponential, logarithmic and trigonometric functions. (LAC, gtP)Prerequisite: MATH 131 with the grade of “C” or better (C- is not acceptable). Second course in three course sequence in calculus. Integration and applications of integration, sequences and series. (LAC, gtP)Prerequisite: MATH 124 or MATH 175 or equivalent; or two years of high school algebra with a grade of “C” or better (C- is not acceptable). Techniques and applications of differential and integral calculus with an emphasis on applications to economics and business.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)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)Prerequisite: MATH 132 with the grade of “C” or better (C- is not acceptable).. Vector spaces, linear transformations, matrices, determinants, eigenvalues and eigenvectors, applications.Prerequisite: MATH 131 with the grade of “C” or better (C- is not acceptable). 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.Prerequisite: MATH 132 with the grade of “C” or better (C- is not acceptable). Third course in a three course sequence in calculus. Differentiation and integration of functions of several variables, vector functions, parametric equations, Green’s Theorem.Prerequisite: MATH 182 with grade of “C” or better (C- is not acceptable). 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.Prerequisites: MATH 221 and MATH 228 with the grade of “C” or better (C- is not acceptable). An introduction to abstract algebra. Topics will include: basic number theory, group theory, geometrical connections and mappings.Prerequisites: MATH 321 with a grade of “C” or better (C- is not acceptable). A continuation of MATH 321. Topics will include: rings, integral domains, fields and Galois theory.Prerequisite: MATH 233 with the grade of “C” or better (C- is not acceptable). Study the theory and solutions of ordinary differential equations including applications.Prerequisite: MATH 335 with the grade of “C” or better (C- is not acceptable). Continuation of MATH 335. The existence and uniqueness theory, systems of equations, boundary value problems and an introduction to partial differential equations.Prerequisites: MATH 228 with the grade of “C” or better (C- is not acceptable). Explores Euclidean and non-Euclidean geometries from multiple perspectives, with an emphasis on developing problem solving, communication, and logical reasoning skills.Prerequisites: MATH 221, MATH 228 and MATH 341 with a grade of “C” or better (C- is not acceptable), 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.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.Prerequisite: MATH 350; MATH 233 (or concurrent enrollment) with a grade of “C” or better (C- is not acceptable). 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.Prerequisites: MATH 221 with the grade of “C” or better (C- is not acceptable), 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.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.Prerequisites: MATH 182, MATH 228. Emphasis will be on problem solving skills, reasonableness of answers, using calculators and computers and on problem posing.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.Prerequisite: MATH 233 with grade of “C” or better (C- is not acceptable). 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.Prerequisite: MATH 431 with grade of “C” or better (C- is not acceptable). Continuation of MATH 431.Prerequisites: MATH 221 and MATH 233 with a grade of “C” or better (C- is not acceptable). Use mathematical tools to develop models of practical problems. Emphasize development, verification and interpretation of models and communication of results.Prerequisite: MATH 233 with a grade of “C” or better (C- is not acceptable). 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.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.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.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.Study discussion and student presentation of topics in mathematics.
S/U graded. Repeatable, under different subtitles.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.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.Prerequisite: MATH 321. Vector spaces, linear transformations, matrices, eigenvalues, canonical forms, quadratic forms and other selected topics.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.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.Prerequisite: MATH 233 with a grade of “C” or better (C- is not acceptable), 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.Graduates only. Introduction to the process of mathematical modeling and its use in teaching secondary school mathematics. Emphasizes development and communication of models.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.Prerequisite: MATH 540. Sequences, series, differentiation, Riemann-Stieltjes Integral, series of functions, special functions and functions of several variables.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.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.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.Prerequisite MATH 609. Polynomial Noetherian rings and ideals. Fields and Galois theory. Structure of fields. History and applications.Prerequisite: A course in complex analysis. Analytic and meromorphic functions in the complex plane. Integration, conformal mapping and advanced topics.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.Prerequisite: A course in Analysis. A course in the differential geometry of curves and surfaces. Both modern and classical aspects will be covered.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.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.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.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.Prerequisite: MATH 635. Topics from real and functional analysis such as: measure theory, distributions, metric spaces and other topics of the instructor's choice.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.