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# 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.)
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)
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 2315)
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)
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 2215)
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.)
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)
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.
5513 THE TEACHING OF ALGEBRA AND FUNCTIONS
Learning and teaching concepts of algebra in a problem-based, student-centered environment, incorporating technology and manipulatives where appropriate. Participants will develop a deeper understanding of key ideas through discussion and evaluation of solution methods of peers and analysis of student work.
5523 THE TEACHING OF NUMBER AND OPERATIONS
Learning and teaching number and operations in a problem-based, student-centered environment, incorporating technology and manipulatives where appropriate. Participants will develop a deeper understanding of key ideas through discussion and evaluation of solution methods of peers and analysisof student work.
5533 THE TEACHING OF GEOMETRY AND MEASUREMENT
Learning and teaching geometry and measurement in a problem-based, student-centered environment, incorporating technology and manipulatives where appropriate. Participants will develop a deeper understanding of key ideas through discussion and evaluation of solution methods of peers and analysis of student work.
5543 MATHEMATICAL PROBLEM SOLVING FOR TEACHERS
An introduction to mathematical problem solving through a series of exploratory problems designed to give teachers an insight into problem solving.
5553 TEACHING OF DATA ANALYSIS,STATISTICS,& PROBABILITY
Learning and teaching data collection and analysis, statistics, and probability in a problem-based, student-centered environment, incorporating technology and manipulatives where appropriate. Participants will develop a deeper understanding of key ideas through discussion and evaluation of solution methods of peers and analysis of student work.
5593 PROBLEMS AND ISSUES IN MATHEMATICS EDUCATION
Current problems and issues in mathematics education. Possible topics include: planning mathematics curriculum; assessing student learning; accountability and high-stakes testing; managing instruction; and providing for individual student needs.
5623 ANALYSIS
Functions, sequences, limits, continuity and other topics from elementary real analysis.