Mathematics

Major Program Requirements
Bachelor of Arts in Mathematics (33 hours of Mathematics and 3 hours

of cognates)

Mathematics B.A. Core (21 hours)

Mathematics B.A. Electives (12 hours)
12 hours of mathematics classes numbered above 215

Mathematics B.A. Cognate (3 hours)
CIS 106 Computer Programming (3)

Bachelor of Arts with Teacher Certification in Mathematics. See the
Teacher Education section of the catalog, p. 237.

Minor Program Requirements
For students majoring in other academic disciplines, a mathematics minor can enhance
prospects for graduate or professional studies and increase employment opportunities. The
minor requires 20 semester hours in the department, including Mathematics 135, 205, 303
and 9 semester hours of electives from mathematics courses numbered 215 or higher.
Mathematics minors must also complete Computer Information Systems 106.

The highly sequential nature of the mathematics curriculum makes it essential that
prerequisite mathematical knowledge and skills be mastered prior to enrollment in any
mathematics course. A student’s score on the Mathematics Placement Examination (given
during freshman orientation and available at other times in the Academic Services Office)
is critical in the selection of freshman courses. A grade of C- or better is required for
fulfillment of all prerequisite courses.

Each mathematics major must have an assigned faculty member from within the department
as an advisor for his or her mathematics program.

The semesters listed after course descriptions indicate when courses are expected
to be offered. Schedules are subject to change; students should confirm semester
offerings with the department when planning degree programs.

Introductory Courses

099. Developmental Mathematics (3). Topics include the real number system, basic
operations, fractions, signed numbers, factoring, exponents, roots, decimals, percent
and proportion, topics from plane geometry and an introduction to algebra. Emphasis
is on development of arithmetic skills and mastery of basic algebraic concepts. Use
of the mathematics laboratory is required. College credit only; hours will not count
toward graduation requirements. (Prerequisite: Mathematics Placement Examination.)
(Must be repeated if grade earned is NC, D or F.) Fall, spring.

100. Mathematics for the Liberal Arts (MATHEMATICS BASIC SKILLS) (4). Covers
the following topics: problem solving; sets; logic (truth tables and symbols);
probability (counting techniques and expected value); statistics (measure of central
tendency and normal curve); consumer mathematics (percentage, interest, installment
buying and annuities); primes, composites, LCM and GCD; and graphing linear
equations. Does not satisfy the prerequisite for further mathematics courses.
(Prerequisite: Mathematics 099 or Mathematics Placement Examination.) Spring.

101. Intermediate Algebra (MATHEMATICS BASIC SKILLS) (4). Fundamental
operations with algebraic expressions, linear and quadratic equations, graphs, systems
of equations, applications and functions. (Prerequisite: Mathematics 099 or Mathematics
Placement Examination.) Fall, spring.

103. Fundamentals of Modern Mathematics I (3). An introduction to problem solving,
logic, set theory, number systems, operations, number theory and algorithms. (Prerequisite:
Mathematics 101 or Mathematics Placement Examination.) Fall.

113. Fundamentals of Modern Mathematics II (3). An introduction to probability and
statistics, geometry, measurement and the use of mathematical methods, tools, and
technology. (Prerequisite: Mathematics 103.) Spring.

115. Pre-Calculus Mathematics (4). An introduction to the theory of functions related
to exponential, logarithmic, rational, polynomial and trigonometric functions. Theorems
on rational and complex zeros of polynomials and systems of linear equations.
(Prerequisite: Mathematics 101 or Mathematics Placement Examination.) Fall, spring.

Analysis

135, 205, 215. Calculus and Analytic Geometry (4, 4, 4). Topics in analytic geometry,
limits, continuity, differentiation, integration, polar coordinates and curves, transcendental
functions, parametric equations and functions in parametric form, vectors and
vector functions, infinite series, partial derivatives, multiple integrals and applications.
(Prerequisite for 135: Mathematics 115 or Mathematics Placement Examination;
Prerequisite for 205: Mathematics 135; Prerequisite for 215: Mathematics 205.)
Mathematics 135 and 205 offered fall, spring; Mathematics 215 offered spring only.

305. Differential Equations (3). Solutions of various types of ordinary differential
equations, linear equations with constant coefficients, Laplace Transform, systems of
equations and series solutions. (Prerequisite: Mathematics 205.) Spring ”07.

405. Real Analysis (3). Theory of functions of a real variable; sequences and series, limits,
continuity, derivatives, the Riemann integral and other topics. Students will be
required to research a mathematical topic approved by the instructor, with a formal
presentation to be given to members of the mathematics department and the campus
community. (Prerequisites: Mathematics 215 and 313.) Fall ”06.

Applied Mathematics

104. Finite Mathematics (3). An introduction to systems of linear equations, matrix
theory, linear programming, set theory, logic, probability, and other topics. (Prerequisite:
Mathematics 101or Mathematics Placement Exam.) Fall, spring.

204. Elementary Statistics (3). An introduction to the basic principles of statistics,
computation of statistics, probability distributions, estimation, confidence intervals,
hypothesis testing, and correlation and regression. (Prerequisites: Mathematics 104
or 115 or Mathematics Placement Examination.) Fall, spring.

216. Discrete Mathematics (3). An introduction to Boolean algebra, combinatorics, graph
theory, recursion, set theory and trees. (Prerequisite: Mathematics 135.) Spring ”07.

304 Theory of Probability (3). Descriptive statistics, probability and counting techniques,
discrete and continuous distributions, moment generating functions, multivariate
and conditional distributions, the correlation coefficient and least squares regression.
(Prerequisite: Mathematics 205) Fall.

314. Theory of Mathematical Statistics (3). Sampling theory, point and interval estimation,
order statistics, tests of hypothesis, nonparametric methods, statistical quality
control and experimental design. (Prerequisite: Mathematics 304) Spring ”08.

Foundations

303. Linear Algebra and Matrices (3). Matrices, determinants, systems of linear equations,
vector spaces, linear transformations, eigenvectors and eigenvalues. (Prerequisite:
Mathematics 205.) Fall.

313. Abstract Algebra (3). An introduction to the theory of groups, rings and fields.
(Prerequisite: Mathematics 303.) Spring.

323. Geometry (3). A survey of topics in geometry including historical topics, elements
of logic, foundations in Euclidian geometry and introduction to non-Euclidian geometry
using the hyperbolic model. This course emphasizes different methods of proof.
(Prerequisite: Mathematics 205.) Spring ”08.

403. Number Theory (3). Divisibility, primes, congruences, multiplicative functions,
primitive roots, quadratic residues, quadratic reciprocity and other topics. Students
will be required to research a mathematical topic approved by the instructor, with
a formal presentation to be given to members of the mathematics department and
the campus community. (Prerequisite: Math 313) Fall ”07.

Special and Advanced Courses

199. Exploratory Internship (1-3).

299. Experimental Course (1-3).

309. Topics in Mathematics (1-3). Topics of interest to faculty and students. Sample
topics include, but are not limited to, numerical analysis, graph theory, advanced
discrete math, advanced multivariable calculus, partial differential equations, history
of mathematics. May be repeated for credit if the topic is different. Offered as needed.

399. Professional Internship (1-12).

410. Advanced Topics in Mathematics (1-3). Advanced topics of interest to faculty and
students. Sample topics include, but are not limited to, complex analysis, topology,
operations research, advanced topics in linear algebra, abstract algebra, geometry and
statistics. May be repeated for credit if the topic is different. Offered as needed.

451. Independent Study (1-3). Advanced topics for students planning further study in
mathematics. (Prerequisites: B average in mathematics and department chairperson’s
written permission.)

499. Advanced Experimental Course (1-3).