Minors in mathematics must include MTH 142,
143 and one of the following: MTH 244 and 6 semester hours
of advanced mathematics (no more than 3 hours of courses
cross listed with STA), or 10 semester hours of advanced
mathematics (no more than 3 hours of courses cross listed
with STA). Prerequisites should be carefully noted.
A student's major program of study may also impose requirements
on a minor in mathematics. Thus, the selection of courses
for a mathematics minor should be made with the counsel
of both the major advisor and a mathematics advisor.
Teacher Certification
In addition to the listed degree requirements,
the following courses must be completed for teacher certification.
Several of these courses may be taken as electives or
to partially complete existing degree requirements.
SED 374, 383, 394, 464, 480, 496, and 497
RDG 392
SCM 384
NOTE: TASP requirements for mathematics
courses are published in the current schedule of classes.
These requirements are in addition to any prerequisites
listed below.
MATHEMATICS
COURSE DESCRIPTIONS
MTH 031D DEVELOPMENTAL
MATHEMATICS I. This course deals with fundamental
operations involving whole numbers, fractions, decimals
and percents, ratio and proportion, interpretation of
graphs, geometry, and introductory algebra including
axioms and properties of the real number system, fundamental
operations involving algebraic expressions, first
and second degree equations and inequalities in one
unknown. Credit in this course may not be applied
toward graduation or classification of students by
hours completed.
MTH 032D DEVELOPMENTAL
MATHEMATICS II. This course covers products and factoring
of polynomials, algebraic fractions, exponents and radicals,
quadratic equations, functions and graphs, applications and systems of
equations. Credit in this course may not be applied toward graduation or
classification of students by hours completed.
MTH 142, 143, 244 This sequence
of courses is a unified introduction to the fundamental
concepts, skills, and applications of calculus and analytic
geometry.
MTH 142 CALCULUS
I. [MATH 2413] Topics include limits and continuity,
the derivative, techniques for differentiation of algebraic,
logarithmic, exponential and trigonometric functions,
applications of the derivative and anti-differentiation.
Prerequisite: MTH 163 or high school equivalent. Credit
4.
MTH 143 CALCULUS
II. [MATH 2414] Topics include the definite integral
and its applications, techniques of integration, improper
integrals, Taylor's formula and infinite series. Prerequisite:
MTH 142 with a grade of C or better. Credit 4.
MTH 163 PLANE
TRIGONOMETRY. [MATH 1316] Topics include coordinate
systems, circular functions, solutions of triangles,
identities, trigonometric equations, and inverse functions.
Prerequisites: Two years of high school algebra and one
year of high school geometry. Credit 3.
MTH 164 COLLEGE
MATHEMATICS. [MATH 1332] This course is designed
to meet the objectives of Component area 2 of the core
curriculum for non-business and non-science related majors.
Topics may include sets, counting principles, probability,
logic, linear algebra, linear programming, mathematics
of finance, geometry, and calculus. Applications are
emphasized. Prerequisites: Two years of high school algebra
and high school geometry. Credit 3.
MTH 166 ELEMENTARY
MATHEMATICS OF FINANCE. [MATH 1321] Mathematical
principles and techniques are applied to problems which
arise in finance. Topics include simple interest, compound
interest, installment buying, annuities, and perpetuities.
Prerequisites: Two years of high school algebra. Credit
3.
MTH 169 ELEMENTARY
STATISTICS. [MATH 1342] This is a survey course in
elementary statistics designed to acquaint students with
the role of statistics in society. Coverage includes
graphical descriptive methods, measures of central tendency
and variation, the basic concepts of statistical inference,
the notion of estimators, confidence intervals, and tests
of hypotheses. Also offered as STA 169. Prerequisite:
Two years of high school algebra. Credit 3.
MTH 170 PRE CALCULUS
ALGEBRA. [MATH 2312] Topics include a brief review
of introductory algebra, variation, elementary theory
of equations, functions (including exponential and logarithmic),
inequalities, systems of equations, and other related
topics. Prerequisites: Two years of high school algebra
and one year of high school geometry. Credit 3.
MTH 184 INTRODUCTION
TO THE FOUNDATIONS OF MATHEMATICS I. [MATH 1350]
Topics include a study of sets, systems of numeration,
natural numbers, integers, number theory and rational
numbers. Credit in this course is applicable only toward
elementary/middle school certification. Prerequisites:
Two years of high school algebra and one year of high
school geometry. Credit 3.
MTH 185 INTRODUCTION
TO THE FOUNDATIONS OF MATHEMATICS II. [MATH 1351]
Topics include basic notions of Euclidean Geometry in
2 and 3 dimensions, concepts of congruence and similarity,
transformational geometry and measurement. Credit in
this course is applicable only toward elementary/middle
school certification. Prerequisites: MTH 184 with a grade
of C or better. Credit 3.
MTH 199:299 This sequence of courses
consists of a study of special concepts and techniques
of mathematics which are of particular importance in
the fields of business and economics.
MTH 199 MATHEMATICS
FOR MANAGERIAL DECISION MAKING I. [MATH 1324] Topics
include a review of introductory algebra, equations,
relations, functions, graphs, linear programming, systems
of equations and matrices, and mathematics of finance.
Prerequisites: Two years of high school algebra and one
year of high school geometry. Credit 3.
MTH 244 CALCULUS
III. [MATH 2415] This course includes the study of
the calculus of functions of several variables and topics
in vector calculus including line and surface integrals,
Green's Theorem, Divergence Theorem, and Stoke's Theorem.
Prerequisite: MTH 143 with a grade of C or better. Credit
4
MTH 284 FUNCTIONS
AND GRAPHS. The emphasis of this course is on functions
and their graphs. Topics include linear, polynomial,
logarithmic, and exponential functions. Prerequisite:
MTH 185 with grade of C or better. This course may be
applied only toward elementary school teacher certification.
Credit 3.
MTH 285 FUNDAMENTALS
OF CALCULUS. This course provides an introduction
to the concepts and applications of calculus. This course
may be applied only toward elementary school teacher
certification. Prerequisite: MTH 284. Credit 3.
MTH 299 MATHEMATICS
FOR MANAGERIAL DECISION MAKING II. [MATH 1325] Topics
include differential and integral calculus with applications
in business and economics. Prerequisite: MTH 199 or 170.
Credit 3.
MTH 363 EUCLIDEAN
GEOMETRY. This course consists of a modern development
of Euclidean geometry and a limited introduction to non-Euclidean
geometry. Prerequisite: MTH 364. Normally offered in
Fall and Summer II. Credit 3.
MTH 364 INTRODUCTION
TO MATHEMATICAL THOUGHT. This course includes an
introduction to sets, logic, the axiomatic method and
proof. Prerequisite: MTH 143 or consent of instructor.
Normally offered in the Spring and Summer I. Credit 3.
MTH 376 DIFFERENTIAL
EQUATIONS. This course, in conjunction with MTH 476,
is intended to develop a basic competence in areas of
mathematics that are used in solving problems from the
physical sciences. This first course emphasizes the general
solution of ordinary differential equations, including
the Laplace transform and infinite series methods. Prerequisite:
MTH 244 or consent of the instructor. Normally offered
in the Fall Semester. Credit 3.
MTH 377 INTRODUCTION
TO LINEAR ALGEBRA AND MATRICES. Topics include systems
of linear equations, vector spaces, matrix operations,
and linear transformations and their matrices. Prerequisite:
MTH 143. Normally offered in the Spring Semester and
in Summer Session II. Credit 3.
MTH 379 STATISTICAL
METHODS IN PRACTICE. Topics include organization
and presentation of data, measures of central tendency,
dispersion, and position, probability distributions for
discrete and continuous random variables, sampling techniques,
parameter estimation, and hypothesis testing. Emphasis
will be given to the use of the MINITAB statistics package.
Also offered as STA 379. Prerequisites: 3 semester hours
of mathematics and consent of instructor. Fall, Spring,
Summer I. Credit 3.
MTH 381 INTRODUCTION
TO THE FOUNDATIONS OF MATHEMATICS III. Topics include
probability, data analysis, discrete mathematics, and
problem solving. Credit in this course is applicable
only toward elementary/middle school certification. Prerequisite:
C or better in MTH 184. Credit 3.
MTH 382 FOUNDATIONS
OF MIDDLE SCHOOL MATHEMATICS. Topics include relations,
functions, coordinate geometry, logic, and history of
mathematics. Credit in this course is applicable only
toward middle school certification. Prerequisite: C or
better in MTH 381. Credit 3.
MTH 383 GEOMETRIC
MEASURE AND TRANSFORMATIONS. Topics included in this
course are measurement in one, two, and three dimensions,
the metric system, transformational geometry, congruencies,
similarities, geometric constructions, and coordinate
systems. This course may be applied only toward middle
school certification. Prerequisite: MTH 285 or MTH 143.
Credit 3.
MTH 384 FOUNDATIONS
OF MATHEMATICS. This course includes an introduction
to logic, concepts of proof, proof techniques, induction,
and sets. It may be applied only toward middle school
certification. Prerequisite: MTH 285 or MTH 143. Credit
3.
MTH 386 FUNDAMENTALS
OF PROBABILITY AND STATISTICS. This course provides
an introduction to probability and descriptive statistics,
including regression and the construction and interpretation
of tables, graphs, and charts. Calculator techniques
related to the above topics will be incorporated into
the course. This course may be applied only toward middle
school certification. Prerequisite: MTH 285 or MTH 143.
Credit 3.
MTH 387 PROBLEM
SOLVING IN MIDDLE SCHOOL MATHEMATICS. Topics and
projects in mathematical problem-solving appropriate
for the middle or junior high school mathematics specialist
designed to meet individual student needs and interests.
The course may be applied only toward middle school certification.
Prerequisite: MTH 284. Credit 3.
MTH 394 NUMERICAL
METHODS. Topics include interpolation, approximations,
solutions of equations, and the solution of both linear
and nonlinear systems of equations. Also offered as CS
394. Prerequisites: CS 164 and MTH 143 or consent of
the instructor. Normally offered in the Spring Semester
only. Credit 3.
MTH 396 OPERATIONS
RESEARCH I. Techniques for the application of the
scientific method to decision making in business and
government are presented through the formulation and
interpretation of mathematical models for various specific
real life problems. Fall semester. Prerequisite: MTH
299 or 143. Credit 3.
MTH 461 INTRODUCTORY
ANALYSIS. This course consists of a more thorough
treatment of the material traditionally considered in
elementary calculus. Topics include sets, functions,
properties of the real number system and sequences. Prerequisite:
MTH 364 or consent of the instructor. Normally offered
in the Fall Semester only. Credit 3.
MTH 466 ELEMENTARY
ANALYSIS. Topics include limits, continuity, differentiation,
Riemann integration, infinite series and sequences and
series of functions. Prerequisite: MTH 461 or consent
of instructor. Normally offered in the Spring Semester
only. Credit 3.
MTH 467 THE EVOLUTION
OF MATHEMATICS. An introduction to the historical
development of fundamental mathematical ideas from antiquity
to the present. Prerequisite: consent of instructor.
Normally offered in Spring and Summer Session II. Credit
3.
MTH 470 SPECIAL
TOPICS IN MATHEMATICS. Normally, this course consists
of readings and individual research appropriate for the
undergraduate level with subject matter for study selected
by mutual agreement of student and supervisor. However,
special classes may be organized when there is sufficient
student interest in a particular project. Prerequisites:
6 semester hours of advanced Mathematics and consent
of instructor. This course may be taken for Academic
Distinction credit. See Academic Distinction Program
in this catalogue. Credit 3.
MTH 471 THEORY
AND APPLICATIONS OF PROBABILITY AND STATISTICS I.
Topics include basic concepts and properties of probability,
random variables, statistical distributions, measures
of central tendency, variance, covariance, correlation,
functions of random variables, sampling distributions,
and the Central Limit Theorem. Also offered as STA 471.
Prerequisite: MTH 143. Fall semester. Credit 3.
MTH 472 THEORY
AND APPLICATIONS OF PROBABILITY AND STATISTICS II.
Topics include multivariate, conditional and marginal
distributions, point and interval estimation, theory
of estimation, maximum likelihood estimates, hypothesis
testing, likelihood ratio tests, contingency analysis,
and nonparametric statistics. Also offered as STA 472.
Prerequisites: MTH 244 and STA 471. Spring semester.
Credit 3.
MTH 476 TOPICS
IN APPLIED MATHEMATICS I. This course, in conjunction
with MTH 376, is intended to develop a basic competence
in areas of mathematics that are used in solving problems
from the physical sciences. Topics will be selected from
partial differential equations, multivariable and vector
calculus, and complex analysis. Prerequisite: MTH 376
or consent of the instructor. Normally offered in the
Spring Semester only. Credit 3.
MTH 477 ALGEBRAIC
STRUCTURES. Topics include groups, rings, fields,
finite groups and Abelian groups. Prerequisite: MTH 364
or consent of the instructor. Normally offered in the
Fall Semester only. Credit 3.
MTH 484 A SURVEY
OF MATHEMATICAL IDEAS. This course is designed to
bring together and supplement the technical material
of other mathematics courses in the mathematics teacher-education
program and relate it to the mathematics curriculum of
the secondary school. This course may be applied only
toward teacher certification. Prerequisite: Consent of
instructor. Normally offered in the Spring Semester and
Summer I. Credit 3.
MTH 485 MATHEMATICAL
PROBLEM SOLVING. This course focuses on solving mathematical
problems including the use of proof as well as graphical
and numerical methods. It extends and connects concepts
from algebra, geometry, and calculus, including functions,
graphs, complex numbers and number systems. This course
may be applied only toward teacher certification. Prerequisite:
Advanced standing in mathematics. Normally offered in
the Fall Semester and Summer II. Credit 3.
