# Mathematics

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

of cognates)

**Mathematics B.A. Core**(21 hours)

MATH 135, 205, 215 | Calculus I, II, III (4, 4, 4) |

MATH 303 | Linear Algebra and Matrices (3) |

MATH 313 | Abstract Algebra (3) |

MATH 403 | Number Theory (3) |

or MATH 405 | Real Analysis (3) |

**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.

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).

499. Advanced Experimental Course (1-3).