Mathematics Course Descriptions

0114 ELEMENTARY ALGEBRA.

A course for students with little or no previous algebra background. Topics include arithmetic review, real number operations, linear equations and inequalities, polynomial operations, rational expressions, and square roots. (No college credit.)

0123 INTERMEDIATE ALGEBRA.

A course for students who need to review algebra skills. Topics include real number operations, linear equations and inequalities, polynomial operations, rational expressions, and radical expressions. (No college credit.) (Previously listed as Fundamentals of Algebra)

1103 MATH FOR ELEMENTARY MAJORS I.

Structure of the rational number system. (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.)

1203 MATH FOR ELEMENTARY MAJORS II.

Applications of the structure of the rational number system to algorithms. (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.)

1213# ALGEBRA FOR COLLEGE STUDENTS.

Real number system, linear equations, polynomials, inequalities, systems of equations.

1303# MATHEMATICS IN THE LIBERAL ARTS.

Set theory, logic, finite systems, number sequences, counting techniques, algebra, geometry. [Prerequisite: Either (a) Math ACT of at least 19, (b) a passing score on the Math CPT exam, or (c) MATH 0114 or MATH 0123.]

1403 APPLIED TRIGONOMETRY.

A course designed for the technical/occupational student, with emphasis on the application of trigonometry in developing basic concepts and computational aspects of plane and solid geometry and complex numbers.

1513# COLLEGE ALGEBRA.

The study of functions, systems of equations, theory of equations, sequences and series, matrices and determinants, combinatorics. (Prerequisite: MATH ACT of at least 19 or a passing score on the departmental placement exam or MATH 0123.)

1543# ALGEBRA FOR THE SCIENCES.

An introduction to critical thinking and algebra skills necessary for the natural sciences. Emphasis is on applications. [Prerequisite: Either (a) Math ACT of at least 19, (b) a passing score on the departmental placement exam, or (c)MATH 0114, or (d) MATH 0123]

1613# TRIGONOMETRY.

Trigonometric and inverse functions, vectors, identities, complex numbers, exponential and logarithmic functions and applications. (Prerequisite: MATH 1513 or equivalent)

2003 TECHNOLOGY FOR MATHEMATICS.

An introduction to some of the technology used in the practice and teaching of mathematics. Topics covered include graphing calculators, computer algebra systems, mathematics on the World Wide Web, and other appropriate software applications. (Prerequisite or Corequisite: MATH 1613 or equivalent)

2013# INTRODUCTION TO DISCRETE MATH.

Mathematical induction, relations, functions, combinatorics, graph theory, trees, and finite state automata. (Prerequisite: CS 1313)

2113# ANALYTIC GEOMETRY.

Cartesian coordinate system, conics, parametric equations, transformation of axes, introduction to solid analytic geometry. (Prerequisite: MATH 1613 or departmental approval)

2133 BUSINESS MATH.

Decimals, percentage, marketing and accounting mathematics, interest, depreciation, taxes.

2143# BRIEF CALCULUS WITH APPLICATIONS.

An introduction to the calculus of elementary functions, with an emphasis on applications in Business and the Life Sciences. (Prerequisite: MATH 1513 or MATH 1543 or equivalent) (Will not count towards a major in mathematics or mathematics education.)

2215# CALCULUS I.

Functions, limits, derivatives, integrals, differentiation and integration of transcendental functions, applications. (Prerequisite: MATH 1613 or MATH 2113 or departmental approval)

2283# INTRODUCTION TO LOGIC.

Study of the syllogism, fallacies, symbolic logic, and developments in logic in the 20th century. (NOTE: This is an Honors class and permission is required.)

2315# CALCULUS II.

Techniques of integration, improper integrals, infinite series, parametric equations, vector functions, partial differentiation, multiple integration, line and surface integrals, applications. (Prerequisites: MATH 2215)

3023 METHODS IN MATHEMATICS AT THE PRIMARY LEVEL.

Study of mathematical concepts for the primary grades and methods of teaching these concepts. (Prerequisite: MATH 1303) (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.)

3033 METHODS IN MATHEMATICS AT THE INTERMEDIATE LEVEL.

Study of mathematical concepts for the intermediate grades and methods of teaching these concepts. (Prerequisite: MATH 1303) (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.)

3113# MULTIVARIATE CALCULUS.

Partial differentiation, multiple integration, topics from vector calculus, introduction to first and second order differential equations. (Prerequisite: MATH 2315)

3123# FINITE MATHEMATICS FOR ELEMENTARY MAJORS.

Study of number theory, probability, and statistics for elementary education majors. (Prerequisites: MATH 1303, one of MATH 1513 or MATH 1543.) (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.)

3133# GEOMETRY FOR ELEMENTARY MAJORS.

Study of geometry concepts such as measurement, congruence, constructions, lines and circles for elementary education majors. (Prerequisites: MATH 1303, one of MATH 1513 or MATH 1543) (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.)

3213# DIFFERENTIAL EQUATIONS.

Introduction to the theory of ordinary differential equations. (Prerequisite: MATH 2315)

3283# FOUNDATIONS OF MATHEMATICS.

Proof techniques, functions, relations, countable and uncountable sets. (Prerequisite: MATH 2315 or departmental approval)

3323# COLLEGE GEOMETRY.

Elementary concepts of Euclidean geometry, introduction to non Euclidean geometries. (Prerequisites: MATH 2215 and MATH 3283)

3343# NUMBER THEORY.

Divisibility of integers, congruences, quadratic residues, mathematical induction, distribution of primes, Diophantine equations, numerical functions, continued fractions. (Prerequisite: MATH 3283)

4113# REAL ANALYSIS.

Functions, sequences, limits, continuity, differentiation, integration.

(Prerequisite: MATH 3283)

4133# LINEAR ALGEBRA.

An introduction to matrices, vector spaces, linear transformations, and eigenvalues. (Prerequisite: MATH 2215)

4213# COMPLEX VARIABLES.

Complex numbers, analytic functions, elementary functions, integrals, series, residues, conformal mappings.

(Prerequisite: MATH 3283)

4223# POINT SET TOPOLOGY.

Introductory topics in point set topology.

(Prerequisite: MATH 3283)

4233# ABSTRACT ALGEBRA I.

Sets, mappings, groups, rings, integral domains, fields. (Prerequisite: MATH 3283) (Previously listed as MATH 3233)

4333# ABSTRACT ALGEBRA II.

A continuation of Abstract Algebra I. (Prerequisite: MATH 4233)

4523# COMBINATORICS.

Permutations and combinations, enumeration, generating functions, systems of distinct representatives, algorithms, graph theory, design theory, Ramsey theory. (Prerequisite: MATH 2013 or MATH 2215)

4543 MATHEMATICS OF FINANCE.

Interest, annuities, amortization, sinking funds, perpetuities, bonds, depreciation, insurance.

4653# HISTORY OF MATHEMATICS.

Origins, philosophy, and chronological development of the mathematical sciences. (Prerequisite: MATH 3283)

4703 MATHEMATICS METHODS FOR ELEMENTARY MAJORS.

Study of methods of teaching concepts encountered in the elementary school curriculum. (Prerequisites: MATH 3123 and 3133) (Will not count toward a major or minor in mathematics or a certificate to teach mathematics.) (Previously listed as Mathematics for Elementary Teachers)

4903 METHODS & MEDIA IN SECONDARY MATHEMATICS.

Development of secondary mathematics in the United States, general aspects of the teaching of mathematics, study of teaching various high school math courses. (Will not count toward a major or minor in mathematics. Prerequisite: admission to Teacher Education)

4960 DIRECTED READING.

4970 SPECIAL STUDIES.

4980 SEMINAR.

4990 RESEARCH.

5113 PRINCIPLES OF MATHEMATICS.

Sets, real number properties, intuitive geometry, measurement, and other topics appropriate for teachers of Elementary School Mathematics. (Will not count toward the M.Ed. in Secondary Education)

5133 THEORY OF INFERENCES.

Topics in logic with emphasis on applications of principles of valid reasoning to problems encountered in various disciplines.

5223 MATHEMATICAL STRUCTURES I.

Topics from modern and classical algebra with emphasis on the structure of the real number system.

5273 TOPICS IN MATH FOR THE ELEM SCHOOL.

Geometry, number theory, problem solving techniques, curriculum development. (Will not count toward the M.Ed. in Secondary Education).

5323 MATHEMATICAL STRUCTURES II.

Study of mathematical systems: groups, rings, integrals, domains, fields.

5343 GEOMETRICAL STRUCTURES I.

Euclidean geometry as a mathematical system and as a source of mathematical models.

5443 GEOMETRICAL STRUCTURES II.

Theory of incidence geometries, introduction to projective and affine geometrics.

5623 ANALYSIS.

Functions, sequences, limits, continuity and other topics from elementary real analysis.

5960 DIRECTED READINGS.

5970 SPECIAL STUDIES.

5980 SEMINAR.

5990 RESEARCH FOR MASTER’S THESIS.

# Liberal Arts and Sciences Course