No credit will be given for any 100- level mathematics
course taken subsequent to a 200-level course

with the exception of Math 241 without permission of the Department Head of
Mathematics. Under

special circumstances, the Department Head may grant permission for a student
who does not meet

the prerequisites for a course to take that course.

May not be used for a major or minor in
Mathematics. For the purpose of certification in secondary

education, this course is considered below the calculus level.

**160. Explorations in College Algebra.** Credit 3 hours. Prerequisites: A
score of 18 or above on the

Mathematics section of the Enhanced ACT, DVMA 92, or an appropriate score on the
Developmental

Placement Test. A study of college algebra from a real-world perspective using
technology, data

analysis, geometry, and elementary probability. Topics include linear,
quadratic, and exponential

functions and their graphs; systems of linear equations; ratio and proportion;
probability and statistics;

and the mathematics of finance. A graphing calculator is required for this
course.

**161. College Algebra.** Credit 3 hours. Prerequisite: A score of 18 or
above on the Mathematics

section of the Enhanced ACT, DVMA 92, or an appropriate score on the
Developmental Mathematics

Placement Test. A study of families of functions and their graphs. The families
of functions studied will

include linear, quadratic, polynomial, rational, exponential, and logarithmic.
These families of

functions will be used to model and solve real world applications. A graphing
calculator is required for

this course.

**161H. Honors College Algebra.** Credit 3 hours. Prerequisite: Authorization
of the Director of the

Honors Program. A study of families of functions, conic sections, and sequences
and series. The

families of functions studied will include linear, quadratic, polynomial,
rational, exponential, and

logarithmic. These functions will be used to model and solve real world problems
with the aid of

calculators and computers. Emphasis will be placed on the communication of
solutions to problems

and mathematical ideas through oral presentations and writing. A graphing
calculator is required for

this course.

**162. Plane Trigonometry.** Credit 3 hours. Prerequisites: Math 160 or Math
161. The study of

trigonometric functions. Topics include the laws of sine and cosine, the
trigonometric functions and

their graphs, inverse trigonometric functions, trigonometric identities and
equations, complex

numbers, graphs of parametric equations and graphs in polar coordinates.
Trigonometry and

trigonometric functions will be used to model and solve real world applications.
A graphing calculator

is required for this course.

**163. Calculus for the Biological, Business and Social Sciences. **Credit 3
hours. Prerequisite:

Math 161. An introduction to differential and integral calculus designed for
students majoring in

business, biology, psychology, industrial technology, economics, and other
social sciences. Topics

include limits, the first and second derivative, the first and second derivative
tests for relative extrema,

the definite and indefinite integral, and the Fundamental Theorem of Calculus.
Calculus will be used

to solve real world applications. A graphing calculator is required for this
course.

**165. Precalculus with Trigonometry. **Credit 3 hours. Prerequisite: Math
161 or Enhanced ACT

mathematics score of 22 or higher. Topics will include a study of conic
sections, general quadratic

equations, systems of linear and general quadratic equations, exponential,
logarithmic, and rational

functions, properties and applications of trigonometric functions. A graphing
calculator is required for

this course.

**167 [261]. Elementary Number Structure. **Credit 3 hours. Prerequisite:
Math 160 or Math 161.

Basic concepts of fractions, decimals, percentage, geometry, computational
facility, number theory

and problem solving. This course may not be used to satisfy the General
Education requirements.

**168. **** Geometry for Elementary and
Middle School Teachers.** Credit 3 hours. Prerequisite: Math

167. This course is designed to prepare the student to teach the geometry of the
K-8 curriculum.

Topics include basic concepts and properties of two- and three-dimensional
space: perimeter, area,

volume, parallelism, perpendicularity, congruence, similarity, transformations
and constructions. This

course may not be used to satisfy the General Education requirements.

**
182. Mathematics of Finance.** Credit 3 hours. Prerequisite: Math 160 or Math
161. An introduction to

financial mathematics. Topics include simple and compound interest, annuities, amortization, sinking

funds, bonds, depreciation, life annuities. A graphing calculator is required for this course.

introduction to topics in contemporary mathematics. Topics may be selected from the theory of

finance, perspective and symmetry in art, formal Aristotelian logic, graph theory, probability and odds,

elementary number theory, optimization, numeracy in the real world, and historical topics in

mathematics that have influenced contemporary mathematics. A graphing calculator is required for

this course.

the Enhanced ACT and permission of the Department Head OR Math 165. The first of a standard

three-course sequence on the foundations of differential and integral calculus. Topics include limits,

the derivatives of elementary functions, approximation of definite integrals using Riemann sums, and

applications of the derivative. Calculus will be used in the solution of real world applications. A

graphing calculator is required for this course.

201. Calculus II.

sequence on calculus. Topics include integration techniques, applications of the definite integral, and

infinite series. Calculus will be used in the solution of real world applications. A graphing calculator is

required for this course.

207. Computer Calculus.

designed to use computer techniques to develop and illustrate the topics of calculus.

the use of the computer in developing mathematical concepts and solving mathematical problems,

especially those arising from calculus. The computer will be used to aid in the solution of real world

applications.

designed to introduce students to the techniques of writing mathematical proofs. Topics include logic,

quantified statements, elementary number theory, sets, and functions and relations.

241. Elementary Statistics.

data, measures of central tendency and variability, sampling theory, the normal curve, standard

scores, Student's T, Chi Square, and correlation techniques. A graphing calculator is required for this

course. Students may not receive credit for both Math 241 and Math 267.

267. Data Analysis with Probability.

to introduce and develop the basic concepts of probability and data analysis, and to examine the role

of probability in statistical thinking. Topics include probability, data collection and representation,

measures of central tendency and variability, the normal curve, standard scores, correlation and

regression, and the use of statistics in making predictions and generalizations. A graphing calculator

is required for this course. Note: the pedagogical techniques modeled in this course are especially

useful for students interested in teaching in the K-8 curriculum. Students may not receive credit for

both Math 241 and Math 267. 309. College Geometry. Credit 3 hours. Prerequisite: Math 200. A study

of axiomatic systems, advanced Euclidean geometry, hyperbolic geometry, and geometric

transformations.

of mathematics from ancient times. Mathematical topics studied include number bases, Pythagorean

triples, figurative numbers, construction of tangent lines to curves, and solutions of cubic and quartic

equations.

sequence on calculus. Topics include vectors and geometry of 3-space, vector-valued functions,

directional derivatives, and multiple and line integrals. A graphing calculator is required for this

course.

differential equations with an emphasis on conceptual ideas and the use of computer algebra systems

in solving real-world application problems. Solutions of differential equations will be found

symbolically, graphically, and numerically. Topics will include linear first order equations, higher order

equations, linear systems of equations, nonlinear systems, and chaos in dynamical systems.

360. Applied Linear Algebra.

enrollment. An introduction to linear algebra from a conceptual standpoint. Emphasis will be put on

working in R2 and R3. Topics will include matrices and systems of equations, determinants, vector

spaces, and linear transformations.

concurrent enrollment. An introduction to abstract algebra concentrating on elementary group theory.

Topics will include cyclic groups, abelian groups, symmetric groups, and other groups of low order.

Subgroups, centralizers, and homomorphisms will also be discussed.

380. Applied Statistics with Probability.

introduction to data analysis and the use of computer software packages to organize, summarize, and

analyze data. Discussion will include the basic rules of probability, commonly used discrete and

continuous distributions, random sampling and sampling distributions, regression analysis, parameter

estimation, hypothesis testing, and analysis of variance techniques.

383. Independent Projects in Mathematics.

adjusted grade point average, and permission of the Department Head. An opportunity for students to

apply mathematics in a specific assignment under the direction of a faculty member of the

Department of Mathematics. Specific assignments may include, but are not limited to, projects and/or

service learning opportunities in business, industry, commercial, governmental or educational

agencies. This course may be taken/repeated for a maximum of 6 hours credit. This course cannot be

used to satisfy mathematics requirements for any degree program.

grade point average, and permission of the Department Head. Internship in mathematics provides a

student with experience in the application of mathematics in an assignment selected and approved by

the University with a cooperating business, industry, governmental or educational setting. Credit

hours are earned at a rate of one semester hour for each 40 hours of approved work experience. The

course may be taken/repeated for a maximum of 12 hours credit. This course cannot be used to

satisfy mathematics requirements in any degree program.

**402/506. Differential Equations. **Credit 3 hours.
Prerequisite: Math 312 and Math 350. Course on

solutions of systems of linear ordinary differential equations, techniques of
Laplace transforms and

infinite series in solving ordinary differential equations, method of separation
of variables in solving

partial differential equations, Fourier series, and special functions.

**407/507. Topics in Mathematics.** Credit 3 hours. Prerequisite: Permission
of the Department Head.

Contemporary topics in mathematics and mathematics education. Credit for this
course may be

acquired more than once. Maximum credit six hours.

**409/509. Linear Algebra.** Credit 3 hours. Prerequisite: Math 360. Course
on vector spaces, bases,

inner-products, linear transformations and their matrix representations, traces,
determinants, Cayley-

Hamilton Theorem, nonsingularity, and applications which include solving systems
of linear

equations.

**410/510. Theory of Numbers. **Credit 3 hours. Prerequisite: Math 201 and
Math 223. An introduction

to the properties of integers, number congruences, multiplicative functions,
primitive roots, and

quadratic residues.

**414/514. Fundamental Concepts of Geometry.** Credit 3 hours. Prerequisite:
Math 201 and Math

223. Deductive methods in mathematics; origins and development of concepts of
geometry including

geometric transformations, transformation groups and hyperbolic, elliptical and
real projective

geometry.

**417/517. Mathematical Statistics.** Credit 3 hours. Prerequisites: Math 223
and Math 312. Basic

mathematics of statistics from a prerequisite of calculus. Basic concepts of
probability, properties of

discrete and continuous distributions.

**421/523. Abstract Algebra.** Credit 3 hours. Prerequisite: Math 370. A
course on groups, rings,

integral domains, ideals, ring homomorphisms, and fields.

**427/527. Introduction to Topology.** Credit 3 hours. Prerequisites: Math
223 and Math 312. An

introduction to point-set topology and metric spaces. Topics include topological
spaces, topological

equivalency, metric spaces, compact spaces, connected spaces, Hausdorff spaces,
and separation

theorems.

**
431/533. Numerical Analysis.** Credit 3 hours. Prerequisite: Math 350 and
Computer Science 280.

Numerical methods for solving nonlinear equations and systems of linear equations, approximations

of functions by polynomial and spline interpolations, and numerical solutions of differential equations.

calculus. Topics include the ยด-d approach to limits, sequences, continuity, the derivative, and the

Riemann integral.

theory of functions of a single complex variable. Topics may include algebraic operations of complex

numbers, elementary functions, limits, analytic functions, Cauchy-Riemann equations,

antidifferentiation, contour integrals, Cauchy's theorem, residues, poles, and infinite series.

or Math 360 or Math 370. This course offers techniques of teaching mathematics at the secondary

level. Topics include an analysis of the main ideas of algebra, geometry, trigonometry, and

elementary calculus in the secondary mathematics curriculum. Also, possible materials and

technologies to be used in this curriculum will be investigated. Class time will involve discussions,

demonstrations, and other activities. There will also be on-site observations and participation in

secondary mathematics classrooms. Students majoring or minoring in mathematics in the College of

Arts and Sciences may not use this course as a 400 level mathematics elective.

Permission of the Head of the Department of Mathematics. A course devoted to research in selected

areas of mathematics. Course may be repeated for up to six hours total credit.

495/595. Introduction to Reading and Research in Mathematics.

Permission of the Head of the Department of Mathematics. A course devoted to research in selected

areas of mathematics. Course may be repeated for up to six hours total credit.