MATH 0803

BEGINNING ALGEBRA

Content of this course is as follows: the language of algebra, fundamental operations, signed numbers, equations and problem solving. Note: The grade in the course will be computed in semester and cumulative grade point averages, but the course may not be used to satisfy general education requirements nor provide credit toward any degree. Note: A student who makes a D or F in MATH 0803 must repeat the course in each subsequent semester until he or she earns a grade of C or better. Students who make a grade of C or better in MATH 0803 must enroll in MATH 0903 the following semester.

MATH 0903

INTERMEDIATE ALGEBRA

Prerequisites: One unit of high school algebra, grade of C or better in MATH 0803, or consent of the Mathematics Department. The purpose of this course is to prepare for college level mathematics those students whose mathematics background is inadequate. Content of the course is fundamental operations, linear equations, special products and factoring, fractions, functions, graphs, and systems of linear equations. Note: The grade in the course will be computed in semester and cumulative grade point averages, but the course may not be used to satisfy general education requirements nor provide credit toward any degree. Note: A student who makes a D or F in MATH 0903 must repeat the course in each subsequent semester until he or she earns a grade of C or better.

MATH 1003

COLLEGE MATHEMATICS

Prerequisites: Score of 19 or above on the mathematics subscore of the Enhanced ACT, score of 460 or above on the quantitative portion of SAT, score of 41 or above on the quantitative portion of the COMPASS mathematics section, or make a grade of C or higher in Math 0903. The course focuses upon the mathematics of contemporary life. Topics include Planning and Scheduling schemes from Management Science, Data Analysis, Probability and Inference from Statistics, Voting Systems and Division Schemes from the science of Social Choice, and various Growth Models. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 1113

COLLEGE ALGEBRA

Prerequisites: Score of 19 or above on the mathematics portion of the ACTE exam, or score of 460 or above on the quantitative portion of SAT, or score of 41 or above on the COMPASS mathematics section, or grade of "C" or better in MATH 0903. Exponents and radicals, introduction to quadratic equations, systems of equations involving quadratics, ratio, proportion, variation, progressions, the binomial theorem, inequalities, logarithms, and partial fractions. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement. Note: May not be taken for credit after completion of MATH 2703 or any higher level mathematics course.

MATH 1203

PLANE TRIGONOMETRY

Prerequisite: MATH 1113 or consent of Mathematics Department. A study of the properties of the trigonometric functions and their graphs, solution of right and oblique triangles, formulas and identities, inverse functions, and trigonometric equations. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 1914

PRECALCULUS

Prerequisites: Completion of high school algebra I and II with a grade of C or better and a score of 19 or above on the mathematics portion of the ACTE exam, or score of 460 or above on the quantitative portion of the SAT, or score of 41 or above on the COMPASS mathematics section, or MATH 1113 and MATH 1203, or a grade of C or better in MATH 0903. This course is designed to provide additional mathematical background before enrolling in the calculus sequence. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2033

MATH CONCEPTS I

Prerequisite: MATH 1113, elementary education major Elementary set theory, numeration systems, elementary number theory and the real number system. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2043

MATH CONCEPTS II

Prerequisites: MATH 2033, elementary education major A continuation of MATH 2033, including a study of the elementary concepts of probability and statistics, and an informal study of geometry. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2163

INTRO/STATISTICAL METH

Prerequisites: MATH 1113 or consent of the instructor. Descriptive statistics, random variables, probability and sampling distributions, estimation, hypothesis testing, regression, analysis of variance, non parametric techniques. Note: May not be taken for credit after completion of MATH 3153. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2183

STATISTICAL PROC CONTROL

(A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.) Prerequisite: MATH 2163 or equivalent. This is a course in statistical process control using Deming's philosophy for the improvement of quality, productivity, and competitive position.

MATH 2223

QUANTITATIVE BUSINESS ANALYSIS

Prerequisite: MATH 1113 This course is designed to develop the ability to use quantitative methods in accounting, business, and economics; it includes models of cost, revenue, and profit, linear programming, and probability. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2243

CALCULUS-BUSINESS/ECON

Prerequisites: Completion of high school algebra I and II with a grade of C or better and a score of 22 or higher on the mathematics portion of the ACTE exam or MATH 1113. An introduction to the concepts of differentiation and integration. Emphasis will be placed on applications of calculus in business, economics, accounting, social sciences, and life sciences. Note: May not be taken for credit after completion of MATH 2914 or equivalent. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2703

DISCRETE MATHEMATICS

Prerequisite: MATH 1113 A study of graph theory, trees, combinatorics, logic, and Boolean Algebra. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2914

CALCULUS I

Prerequisites: Math ACTE score of 24 or higher, or a grade of C or higher in MATH 1914 or MATH 1203 or consent of instructor. This is the first of two courses covering the calculus of functions of a single variable. The content covers differentiation of all single variable functions and introduces integration of functions. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2924

CALCULUS II

Prerequisite: MATH 2914 or equivalent This is the second of two courses covering the calculus of functions of a single variable. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2934

CALCULUS III

Prerequisite: MATH 2924 or equivalent This is the third course in the elementary calculus sequence. It covers the calculus of functions of several variables. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2981

SPECIAL TOPICS IN MATH

Prerequisites: Math ACTE score of 22 or higher, or MATH 1113, or consent of instructor. This course will be offered on an as-needed basis to cover topics in mathematics that are not otherwise covered in the curriculum. The content and credit for this course will vary according to the interests and needs of the student. This course may be repeated for credit if the course content differs. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2982

SPECIAL TOPICS IN MATH

Prerequisites: Math ACTE score of 22 or higher, or MATH 1113, or consent of instructor. This course will be offered on an as-needed basis to cover topics in mathematics that are not otherwise covered in the curriculum. The content and credit for this course will vary according to the interests and needs of the student. This course may be repeated for credit if the course content differs. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 2983

SPECIAL TOPICS IN MATH

Prerequisites: Math ACTE score of 22 or higher, or MATH 1113, or consent of instructor. This course will be offered on an as-needed basis to cover topics in mathematics that are not otherwise covered in the curriculum. The content and credit for this course will vary according to the interests and needs of the student. This course may be repeated for credit if the course content differs. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 3003

FOUNDATIONS OF NUMBERS

Prerequisite: MATH 2703 A brief review of elementary set theory, followed by the construction of the natural numbers, the integers, the rational numbers, the real numbers and the complex numbers accompanied by a development of the order and field properties. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 3033

METH TEACH ELEM MATH

Prerequisite: MATH 2043 and admission to Stage II. A course on methods of teaching the mathematics of the elementary school using mathematical concepts and principles taught in these grades. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 3123

COLLEGE GEOMETRY

Prerequisite: MATH 2924 A formal approach to plane geometry with coordinates; sets, points, lines, planes, distance, and coordinate systems, angles, congruence, parallelism, and similarity. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 3153

APPL STATISTICS I

Prerequisite: MATH 2924 A balanced approach emphasizing both theory and applications will be taken. Topics include descriptive statistics, exploratory data analysis, probability and probability models, discrete and continuous random variables, confidence intervals, hypothesis testing, and control charts. Students will be required to collect data, use a current statistical software package to analyze the data, and make inferences based upon the data analysis as part of an individual and/ or group project. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 3203

INTRO TO ANALYSIS

Prerequisite: MATH 3003 A careful development of the real number system and the theory of calculus on the real line. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 3243

DIFF EQUATIONS I

Co-requisite: MATH 2924 A study of differential equations of the first order; linear equations of higher order including the methods of undetermined coefficients and variation of parameters; linear equations with constant coefficients; special equations of order two and systems of linear first-order differential equations using matrices. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4003

LINEAR ALGEBRA I

Prerequisite: MATH 2924 Matrices and matrix algebra, systems of linear equations, determinants, eigenvalues, eigenvectors, general vector spaces, linear transformations. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4033

ABSTRACT ALGEBRA I

Prerequisite: MATH 3003 A study of Groups and other algebraic structures. Topics include sub-groups, normal sub- groups, abelian groups, groups of permutations, homomorphisms, kernels, and range. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4103

LINEAR ALGEBRA II

Prerequisites: MATH 4003 or the consent of the Department of Mathematics. A continuation of MATH 4003 with emphasis on abstract vector spaces, inner product spaces, linear transformations, kernel and range, and applications of linear algebra. Note: MATH 5103 may not be taken for credit after completion of MATH 4103 or equivalent. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4113

HISTORY OF MATHEMATICS

Prerequisite: MATH 2934 A study of selected topics from the history and nature of mathematics from ancient to modern times. Emphasis will be placed on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of some important mathematical concepts. The fundamental role of mathematics in the rise, maintenance, and extension modern civilization will be considered. Note: MATH 5113 may not be taken for credit after completion of this course. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4123

MATHEMATICAL MODELING

Prerequisites: MATH 2703 and MATH 3243 This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with pre senior level mathematics. Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, physical sciences, biological sciences, medicine and social sciences. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4133

ABSTRACT ALGEBRA II

Prerequisite: MATH 4033 Groups, subgroups, homomorphisms, isomorphisms, complex numbers, finite groups. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4153

APPLIED STATISTICS II

Prerequisite: MATH 3153 This course is a continuation of MATH 3153 with emphasis on experimental design, analysis of variance, and multiple regression analysis. Students will be required to design and carry out an experiment, use a current statistical software package to analyze the data, and make inferences based upon the analysis. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4173

ADVANCED BIOSTATISTICS

Prerequisites: An introductory statistics course or permission of instructor. This course will include analysis of variance, one factor experiments, experimental design with two or more factors, linear and multiple regression analysis, and categorical data analysis. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4243

DIFF EQUATIONS II

Prerequisites: MATH 3243 and MATH 4003 or consent of the instructor. A continuation of MATH 3243 with emphasis on higher order and systems of differential equations. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4253

ADVANCED CALCULUS I

(A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.) Prerequisite: MATH 3203. The real numbers, the topology of cartesian spaces and convergence of continuous functions.

MATH 4263

MATHEMATICAL STATISTICS

Prerequisite: MATH 3153 This is an introductory course in mathematical statistics. Topics include distribution functions (both discrete and continuous), multivariate distributions, distributions of functions of random variables, and statistical inference. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4273

COMPLEX VARIABLES

Prerequisite: MATH 2934 An introduction to complex variables. This course will emphasize the subject matter and skills needed for applications of complex variables in science, engineering, and mathematics. Topics will include complex numbers, analytic functions, elementary functions of a complex variable, mapping by elementary functions, integrals, series, residues and poles and conformal mapping. Note: MATH 5273 may not be taken for credit after completion of this course. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4283

ADVANCED CALCULUS II

(A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.) Prerequisite: MATH 4253. Differentiation, integration and infinite series.

MATH 4293

INTRODUCTORY TOPOLOGY

(A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.) Prerequisite: MATH 4253. Metric spaces, topological spaces, mappings, limit point, continuity, connectedness, and compactness. MATH 5293 may not be taken for credit after completion of this course.

MATH 4343

INTRO PARTIAL DIFFERENTIAL EQU

Prerequisites: MATH 2934 and MATH 3243 This course is an introduction to partial differential equations with emphasis on applications to physical science and engineering. Analysis covers the equations of heat, wave, diffusion, Laplace, Dirichlet and Neumann equations. Course is suitable for senior level or first year graduate students in Mathematics, Physics, and Engineering. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4703

SPEC MEHODS IN MATH

Prerequisites: SEED 2002 and junior standing or permission of the instructor. This course, designed for prospective junior and senior high mathematics teachers, will provide the student with knowledge of current research and practice in mathematics education, a setting in which to apply that knowledge, and the opportunity to assess their teaching performance and formulate a plan for improvement. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4772

MATH TEACHING PRACTICUM

A course designed to provide mathematics education majors with experience in teaching mathematics and assessing student performance. Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

MATH 4951

UNDERGRADUATE RESEARCH

Offered: On demand Prerequisite: Departmental approval Advanced students carry out independent research activity relating to a significant problem in a major field of study. Supervised by faculty member. Formal report and presentation required. One to four credits depending on problem selected and effort made. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 4952

UNDERGRADUATE RESEARCH

Offered: On demand Prerequisite: Departmental approval Advanced students carry out independent research activity relating to a significant problem in a major field of study. Supervised by faculty member. Formal report and presentation required. One to four credits depending on problem selected and effort made. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 4953

UNDERGRADUATE RESEARCH

Offered: On demand Prerequisite: Departmental approval Advanced students carry out independent research activity relating to a significant problem in a major field of study. Supervised by faculty member. Formal report and presentation required. One to four credits depending on problem selected and effort made. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 4954

UNDERGRADUATE RESEARCH

MATH 4991

SPEC PROB/MATH

The content and credit for this course will be designed to meet the needs of the student. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 4992

SPEC PROB/MATH

The content and credit for this course will be designed to meet the needs of the student. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 4993

SPEC PROB/MATH

The content and credit for this course will be designed to meet the needs of the student. Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

MATH 4994

SPEC PROB/MATH

MATH 5103

LINEAR ALGEBRA II

Prerequisite: MATH 4003 or consent of the department of mathematics. A continuation of MATH 4003 with emphasis on abstract vector spaces, inner product spaces, linear transformations, kernel and range, and applications of linear algebra. Note: MATH 5103 may not be taken for credit after completion of MATH 4103 or equivalent.

MATH 5113

HISTORY OF MATHEMATICS

Prerequisite: MATH 2943 A study of selected topics from the history and nature of mathematics from ancient to modern times. Emphasis will be placed on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of some important mathematical concepts. The fundamental role of mathematics in the rise, maintenance, and extension of modern civilization will be considered. Note: May not be taken for credit after completion of MATH 4113 or equivalent.

MATH 5153

APPLIED STATISTICS II

Prerequisite: MATH 3153 This course is a continuation of Math 3153 with emphasis on experimental design, analysis of variance, and multiple regression analysis. Students will be required to design and carry out an experiment, use a current statistical software package to analyze the data, and make inferences based upon the analysis. Note: Math 5153 may not be taken for credit after completion of Math 4153 or equivalent.

MATH 5173

ADVANCED BIOSTATISTICS

Prerequisite: An introductory statistics course or permission of instructor. This course will include analysis of variance, one factor experiments, experimental design with two or more factors, linear and multiple regression analysis, and categorical data analysis.

MATH 5243

DIFF EQUATIONS II

Prerequisites: MATH 3243 and MATH 4003 or consent of the instructor. A continuation of MATH 3243 with emphasis on higher order and systems of differential equations.

MATH 5273

COMPLEX VARIABLES

Prerequisite: MATH 2943 An introduction to complex variables. This course will emphasize the subject matter and skills needed for applications of complex variables in science, engineering, and mathematics. Topics will include complex numbers, analytic functions, elementary functions of a complex variable, mapping by elementary functions, integrals, series, residues and poles, and conformal mapping. Note: May not be taken for credit after the completion of MATH 4273 or equivalent.

MATH 5293

INTRODUCTORY TOPOLOGY

Prerequisite: MATH 4253 Metric spaces, topological spaces, mappings, limit points, continuity, connectedness, and compactness. Note: May not be taken for credit after completion of MATH 4293 or equivalent.

MATH 5343

INTRO PARTIAL DIFFERENTIAL EQU

Prerequisites: MATH 2934 and MATH 3243. This course is an introduction to partial differential equations with emphasis on applications to physical science and engineering. Analysis covers the equations of heat, wave, diffusion, Laplace, Dirichlet and Neumann equations. Course is suitable for senior level or first year graduate students in Mathematics, Physics, and Engineering.

MATH 6023

HIGHER ORDER THINKING

Prerequisite: Permission of instructor This course will provide mathematics teachers in grades five through college with examples of lessons incorporating methods appropriate for students with different learning styles. These lessons will emphasize the use of manipulatives, hands-on materials, cooperative learning techniques, and technology. Mathematical content will help teachers build mathematical connections and concepts across grade levels using concrete experiences and bridging to abstract understanding.

MATH 6123

MODERN GEOMETRY

Prerequisite: MATH 3123. A brief review of standard topics in Euclidean Geometry followed by a study of hyperbolic and elliptic geometries, projective geometry, and geometric topology.

MATH 6143

NUMBER THEORY

Prerequisite: MATH 3133. The standard topics in the theory of numbers, including diversibility, congruences, quadratic residues, and distribution of primes, continued fractions, and number theoretic functions.

MATH 6183

INTRO TO REAL ANALYSIS

Prerequisite: MATH 4253. Study of real numbers, topology of the line and plane, sequences and series, and differentiation and integration.

MATH 6213

METH TCH MID SCH MATH

Prerequisite: Permission of the instructor The course is an exploration of inductive teaching models, techniques, strategies, and research for teaching mathematics in the middle school. Emphasis will be placed on constructivist learning.

MATH 6323

METH TCH SECONDARY MATH

Prerequisite: Permission of the instructor The course is a study of materials, methods, and strategies for teaching mathematics in the secondary school. Emphasis will be placed on activity-based learning.

MATH 6881

WORKSHOP

Prerequisite: Permission of instructor The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6882

WORKSHOP

Prerequisite: Permission of instructor The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6883

WORKSHOP

Prerequisite: Permission of instructor The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6891

INDEPENDENT STUDY

Open to graduate students who wish to pursue individual study or investigation of some facet of knowledge which complements the purpose of the University's graduate program. Students will be required to plan their studies and prepare formal written reports of their findings. Note: The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6892

INDEPENDENT STUDY

Open to graduate students who wish to pursue individual study or investigation of some facet of knowledge which complements the purpose of the University's graduate program. Students will be required to plan their studies and prepare formal written reports of their findings. Note: The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6893

INDEPENDENT STUDY

Open to graduate students who wish to pursue individual study or investigation of some facet of knowledge which complements the purpose of the University's graduate program. Students will be required to plan their studies and prepare formal written reports of their findings. Note: The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6894

INDEPENDENT STUDY

MATH 6991

PROJ/THESIS RES CONTINUATION

This course allows students additional time to research and compose their capstone project/portfolio.

MATH 6993

THESIS RESEARCH

Directed research on a thesis topic selected by the student in consultation with a supervising professor.

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