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# Descriptions of Mathematics

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.

185. Contemporary Mathematics. Credit 3 hours. Prerequisite: Math 160 or Math 161. An
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.

200. Calculus I. Credit 5 hours. Prerequisites: A score of 27 or above on the Mathematics section of
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.
Credit 5 hours. Prerequisite: Math 200. The second of a standard three-course
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.
Credit 1 hour. Prerequisite: Credit for Mathematics 200 or 163. A course
designed to use computer techniques to develop and illustrate the topics of calculus.

208. Computer Mathematics. Credit 3 hours. Prerequisite: Math 201. A course designed to illustrate
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.

223. Foundations of Discrete Mathematics. Credit 3 hours. Prerequisite: Math 200. This course is
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.
Credit 3 hours. Prerequisite: Math 160 or Math 161. Graphical display of
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.
Credit 3 hours. Prerequisite: Math 168. This course is designed
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.

311. History of Mathematics. Credit 3 hours. Prerequisite: Mathematics 200. A survey of the history
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.

312. Calculus III. Credit 3 hours. Prerequisite: Math 201. The third of a standard three-course
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.

350 [401]. Applied Differential Equations. Credit 3 hours. Prerequisite: Math 201. An introduction to
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.
Credit 3 hours. Prerequisites: Math 201 and Math 223 or concurrent
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.

370. Introduction to Abstract Algebra. Credit 3 hours. Prerequisites: Math 201 and Math 223 or
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.
Credit 3 hours. Prerequisite: Math 163 or Math 200. An
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.
Credit 1-6 hours. Prerequisites: Junior standing, 2.5
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.

391. Internship in Mathematics. Credit 3-12 hours. Prerequisites: Junior standing, 2.5 adjusted
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

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.

441/544. Real Analysis. Credit 3 hours. Prerequisite: Math 223 and Math 312. A rigorous study of
calculus. Topics include the ยด-d approach to limits, sequences, continuity, the derivative, and the
Riemann integral.

450/550. Complex Analysis. Credit 3 hours. Prerequisites: Math 223 and Math 312. A course on the
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.

460/560. Secondary Mathematics Methods. Credit 3 hours. Prerequisites: Math 223 and Math 350
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.

494/594. Introduction to Reading and Research in Mathematics. Credit 1-3 hours. Prerequisite:
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.
Credit 1-3 hours. Prerequisite:
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.