Catalog Listing of Mathematics Courses
Catalog Listing of Mathematics
Courses
0123 Elementary Algebra (3 hours)
A course for students with little or no previous algebra background. Included topics are signed numbers, exponents, order of operations, factoring, algebraic fractions, linear equations and inequalities, word problems and percents. (No college credit.) Course Syllabus
0133 Intermediate Algebra (3 hours)
A course for students that need to review their algebra or need to satisfy a high school deficiency. Included in the course is a brief review of topics from Elementary Algebra, radicals, rational exponents, factoring, rational expressions, linear equations, and inequalities, absolute value, complex numbers, and quadratic equations. High school deficiency in mathematics may be satisfied by the successful completion of this ourse. Prerequisite: A grade of C or better in Math 0123 or the mathematics placement test. (No college credit.) Course Syllabus
1473 Mathematical Structures (3 hours)
A study of the fundamental structure of mathematics for non-mathematics majors. Topics include: problem solving, estimation, set theory, number theory, algebraic equations, inequalities, and applications. No major or minor credit in mathematics. Prerequisite: A mathematics ACT score of 19 or above on the mathematics placement test or a grade of C or better in Math 0133. Course Syllabus
1513 College Algebra (3 hours)
Linear and quadratic equations and inequalities; relations, functions, inverse functions; exponential and logarithmic functions; systems of equations; zeros of polynomials and determinants; permutations, combinations and the binomial theorem, as well as other selected topics. Prerequisite: A mathematics ACT score of 19 or above or on the mathematics placement test or a grade of "C" or better in Math 0133. Course Syllabus
1613 Plane Trigonometry (3 hours)
Trigonometric functions, equations, and identities; solutions of triangles; trigonometric representation of the complex number. Prerequisite: Math 1513 or equivalent. (EF, OS, OF, ES,) Course Syllabus
2113 Analytic Geometry (3 hours)
Conic sections, translation and rotations of axes,
polar coordinates, coordinate proofs, vector techniques, parametric
equations. Prerequisites: MATH 1513 or equivalent and MATH 1613 or
equivalent or concurrent enrollment. Course Syllabus
2423 Calculus for Business and Social Science (3 hours)
An introductory course in differential calculus for students of business and social sciences. No major or minor credit in mathematics. Prerequisite: MATH 1513 or equivalent. (OS,ES) Course Syllabus
2614 Calculus I (4 hours)
Functions, limits, derivatives, applications of the derivative, the definite integral, the fundamental theorem of calculus and applications of integration. Prerequisite: Math 1513 and Math 1613. (EF, OS, OSR, OF, ES, ESR) Course Syllabus
2624 Calculus II (4 hours)
Inverse functions, logarithm and exponential functions, hyperbolic functions, inverse trigonometric functions, tech niques of integration, improper integrals, L’Hopital’s rule, and infinite series. Prerequisite: MATH 2614. (EF,OS,OF,ES) Course Syllabus
2633 Calculus III (3 hours)
Polar coordinates, parametric
equations, vector-valued functions, partial derivatives, and multiple
integrals. Prerequisite: MATH 2624. (EF, OS, OF, ES) Course Syllabus
3023 Discrete Mathematics (3 hours)
A brief introduction to mathematics topics appropriate for computer programming, including internal representation of numbers, logic, Boolean Algebra, logic circuits, systems of equations, tree diagrams, probability, statistics and linear programming. Prerequisites MATH 1513 (or equivalent) and computer programming experience. Course Syllabus
3313 College Geometry (3
hours)
An advanced study of Euclidean
geometry including angles, triangles, parallel and perpendicular lines,
circles, polygons,
similarity, areas and volumes. Prerequisite: MATH 2614.
Course Syllabus
3413 Modeling: Geometry and Measurement (3 hours)
A study of mathematical concepts for the elementary education major using tactile models and appropriate technology. Topics include: Geometry, measurement, and trigonometry. Prerequisite: MATH 1473 or MATH 1513. Course Syllabus
3433 Modeling: Numeration and Operations (3 hours)
A study of mathematical concepts for prospective elementary teachers using tactile models and appropriate technology. Topics include: problem solving, logic, relations and their properties, numeration, whole number operations and their properties, and number theory. No major or minor credit in mathematics. Prerequisite: Math 1473 or MATH 1513. Course Syllabus
3443 Modeling: Real Numbers and Statistics (3 hours)
A study of mathematical concepts
for prospective elementary teachers using tactile models and
appropriate technology. Topics include: rational numbers and
their operations, integers and their operations, statistics, and
probability. No major or minor
credit in mathematics. Prerequisite:
MATH 1473 or MATH 1513. Course
Syllabus
3513 Statistical Methods (3 hours)
The design of experiments and investigation; statistical inference; probability and combinatorial methods; discrete and continuous distributions; expected values; sampling; point estimation. Prerequisite: Math 1513 or equivalent. No credit for both this course and MATH 3623 in the math major. Course Syllabus
3623 Mathematical Statistics (3 hours)
Descriptive statistics; probability and combinatorial methods; discrete and continuous probability distributions and densities including multi variate, marginal, and conditional distributions of random variables; sampling distributions; mathematical expectation; simple linear regression and correlation. Credit may not be earned in both MATH 3623 and 3513 in the math major. Prerequisite: MATH 2614. Course Syllabus
3713 Abstract Algebra I (3 hours)
Equivalences, congruences, logic, sets, groups, rings, and fields. Prerequisite: Math 3023. Course Syllabus
3810 Topics in Mathematics (1-3 hours)Real numbers, fields and mappings, vectors and vector spaces, matrices, linear dependence and simultaneous linear equations. Determinants, linear transformations. Prerequisite: Math 2614 or Math 3023. Course Syllabus
4013 Abstract Algebra II (3 hours)
The algebra of integers including rings, integral domains, order, divisibility, congruences, isomorphisms, automorphisms, rational numbers and fields. Prerequisite: Math 3713 or consent of the instructor. Course Syllabus
4113 Differential Equations (3 hours)
Introduction to the theory and application of ordinary differential equations, linear and nonlinear first order equations, second order linear equations and higher order linear equations. Introduction to the Laplace transform and applications. Prerequisite: Math 2624. Course Syllabus
4123 Partial Differential Equations (3 hours)
Series solutions of ordinary equations, Fourier series, classical second order partial differential equations, heat equation, wave equation, and Laplaces equation. Boundary value problems and Sturm-Liouville theory. Prerequisite: Math 2633, 4113. Course Syllabus
4223 Computer Graphics (3
hours)
4303 Complex Analysis I (3 hours)
Complex numbers and their algebra,
analytic functions, Cauchy-Riemann conditions, differential and
integral calculus of analytic functions. Prerequisite: Math
2633. Course Syllabus
4313 Modern Geometries (3
hours)
Topics include sets of axioms and finite
geometries, geometric transformations, convexity, geometric topology,
and
non-Euclidean geometries. Prerequisite:
MATH 2614. Course Syllabus
4613 History of Mathematics
# (3
hours)
A
study of the historical development of the concept of number and
numeration
systems, algebra, calculus, measurement, Euclidean and non-Euclidean
geometries, statistics, and probability.
Prerequisite: MATH 2624 (Calculus II) or MATH 3313 (College
Geometry).
General aspects of the teaching of mathematics with detailed study of the teaching of high school courses. No minor credit. Not open to liberal arts degree students. Prerequisite: Permission of the instructor. Course Syllabus
4810 Seminar in Mathematics (1-3 hours)A rigorous treatment of Calculus of one and several variables. Elementary topology of Euclidean spaces, continuity, and uniform continuity. Differentiation and integration. Prerequisite: Math 2633 and Math 3713. Course Syllabus
5703 Advanced Calculus II (3 hours)
A rigorous treatment of sequences and series of functions. Uniform convergence and the generalized Riemann integral. Prerequisite: Math 4913. Course Syllabus
MATHEMATICS FOR ELEMENTARY TEACHERS
4523 Teaching Elementary School Mathematics: Grade K-4 # (3 hours)
How to teach the standard elementary school mathematics curriculum to children grades K-4, including the influence of cognitive development upon mathematical thought and the use of concrete models to teach concepts and algorithms. Prerequisite: Math 3413 or concurrent enrollment.
4553 Teaching Elementary School Mathematics: Grade 5-8 # (3 hours)
How to teach the standard elementary and middle school mathematics curriculum to children grades 5-8, including the use of concrete models to teach concepts and algorithms. Prerequisite: Math 3413 or concurrent enrollment.
4563 Selected Topics for Elementary Teachers # (3 hours)
Mathematical systems, elementary algebra, probability, logic, sequences, and special topics. Prerequisite: Math 4523 or permission of the department.
4573 Advanced Methods of Teaching ElementarySchool Mathematics (3 hours)
Creating and classifying mathematics activities for the elementary school classroom. Teaching mathematics concepts using games, simulation activities, problem solving quests, interest centers, concrete models and individualization. How to enrich and augment the traditional mathematics curriculum. Prerequisites: Math 4523 and Math 4553 or permission of the instructor.