Mathematics Course Descriptions
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NOTE: TSI requirements for mathematics courses are
located in the online Schedule of Classes. These requirements are
in addition to any prerequisites listed below.
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, Calculus
I, II, III. 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
antidifferentiation, defi nite integral, Fundamental Theorem of
Calculus. Prerequisite: MTH 163 or high school equivalent. Credit
4.
MTH 143 Calculus
II. [MATH 2414] Topics include the defi nite integral and its
applications, techniques of integration, improper integrals, Taylor’s
formula and infi nite 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 nonbusiness
and nonscience 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 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, confi dence 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, ratio,
proportions, percents, decimals, 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 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 fi nance. 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 multiple representations including linear, polynomial, logarithmic,
exponential and logistic functions. Prerequisite: MTH 185 with grade
of C or better. This course may be applied only toward middle school
teacher certification. Normally offered in the Fall, Spring and
Summer . 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
middle school teacher certification. Prerequisite: MTH 284. Normally
offered in the Fall, Spring and Summer. Credit 3.
MTH 295 Discrete Mathematics. This is an applied course in discrete mathematical structures. Topics covered may include sets, relations, graphs, trees, logic, boolean algebra, number theory, recurrence relations, combinatorics, probability, groups, fields, and finite state machines with applications to computer science. Prerequisites: MATH 142 or 299 and CS 164,. Credit 3.
MTH 299 Mathematics
for Managerial Decision Making II. [MATH 1325] Topics include
differential and integral calculus with applications in areas such
as 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 nonEuclidean geometry. Writing
Enhanced. Prerequisite: MTH 364 or consent of instructor. 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. Writing Enhanced.
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 fi rst course
emphasizes the general solution of ordinary differential equations,
including the Laplace transform and infi nite series methods. Prerequisite:
MTH 244 or consent of the instructor. Normally offered in the Fall.
Credit 3.
MTH 377 Introduction
to Linear Algebra And Matrices. Topics include: solving systems
of linear equations, fundamental matrix theory (invertibility theorems,
determinants), eigenvectors, and properties of linear transformations.
Remaining topics are chosen from: Properties of general vector spaces,
inner product spaces, and/or diagonalization of symmetric matrices.
Prerequisite: MTH 143. Normally offered in the Spring and Summer
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. Normally offered in the 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. Normally offered
in the Fall, Spring and Summer. 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.
Normally offered in the Fall and Spring of each year and in the
Summer of odd numbered years. 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. Writing Enhanced.
Prerequisite: MTH 285 or equivalent. Normally offered in the Fall
and Spring and in the Summer of even numbered years. Credit 3.
MTH 386 Fundamentals
of Probability and Statistics. This course provides an introduction
to probability, descriptive statistics,and inferential statistics,
including regression, confidence intervals, 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. Normally offered in the Fall and Spring and
in the Summer of even numbered years. Credit 3.
MTH 387 Problem
Solving in Middle School Mathematics. Topics included in this
course are problemsolving strategies appropriate for middle school
or junior high mathematics. The course may be applied only toward
middle school certification. Writing Enhanced. Prerequisite:Math
285. Normally offered in the Fall and Spring of each year and in
the Summer of odd numbered years. 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.
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. Normally offered in the
Fall. 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. Writing Enhanced. Prerequisite: MTH 364 or consent
of the instructor. Normally offered in the Fall. Credit 3.
MTH 466 Elementary
Analysis. Topics include limits, continuity, differentiation,
Riemann integration, infinite series and sequences and series of
functions. Writing Enhanced. Prerequisite: MTH 461 or consent of
instructor. Normally offered in the Spring. Credit 3.
MTH 467 The Evolution
of Mathematics. An introduction to the historical development
of fundamental mathematical ideas from antiquity to the present.
Writing Enhanced. Prerequisite: MTH 143 or consent of instructor.
Normally offered in Spring. 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. Writing
Enhanced. 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 catalog.
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. Normally offered in the Fall. 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. Normally offered in the Spring. 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. Credit
3.
MTH 477 Algebraic
Structures. Topics include groups, rings, fields, finite groups
and Abelian groups. Writing Enhanced. Prerequisite: MTH 364 or consent
of the instructor. Normally offered in the Fall. 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 teachereducation 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 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. Credit 3.
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