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,
computation of grade point averages or classification of students by hours
completed.
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 high school geometry. Credit 3.
MTH 164 COLLEGE MATHEMATICS. [MATH 1332] This course is designed to meet
the objectives of Criterion II for non-business and non-science related majors.
Topics may include sets, counting principles, probability, logic, linear
algebra, linear programming, and mathematics of finance. 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,
high school geometry. 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
high school geometry. (Formerly MTH 162.) Credit 3.
MTH 172:173:274:375 This sequence of courses is a unified introduction
to the fundamental concepts, skills, and applications of calculus and analytic
geometry.
MTH 172 CALCULUS I. [MATH 2313] Topics include
analytic geometry of the
straight line, limits and continuity, the derivative, techniques for
differentiation of algebraic and trigonometric functions, applications of the
derivative, and anti-differentiation. Prerequisite: MTH
163 or high school equivalent. Credit 3.
MTH 173 CALCULUS II. [MATH 2314] Topics include
the definite integral
and its applications, the derivative and antiderivatives of logarithmic,
exponential and trigonometric functions, and techniques of integration.
Prerequisite: MTH 172. Credit 3.
MTH 184:185:186 INTRODUCTION TO THE FOUNDATIONS OF MATHEMATICS I, II &
III These courses satisfy certification requirements for elementary
education. Credit in these courses is applicable only toward elementary teacher
certification.
MTH 184 INTRODUCTION TO THE FOUNDATIONS OF MATHEMATICS I. [MATH 1335]
Topics include a study of sets, systems of numeration, natural numbers,
integers, number theory and rational numbers. Prerequisites: Two years of high
school algebra and high school geometry. Credit 3.
MTH 185 INTRODUCTION TO THE FOUNDATIONS OF MATHEMATICS II. [MATH 1336]
Topics include ratio and proportion, percent, real numbers, geometry,
measurement, and probability and statistics. Prerequisite: MTH 184 with a grade of C or better. Credit 3.
*MTH 186 INTRODUCTION TO THE FOUNDATIONS OF MATHEMATICS III. Topics
include basic notions of Euclidian Geometry in 2 and 3 dimensions, concepts of
congruence and similarity, transformational geometry and measurement.
Prerequisites: MTH 184 with a "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 high school
geometry. Credit 3.
MTH 274 CALCULUS III. [MATH 2315] This course
includes an introduction
to indeterminate forms, improper integrals, Taylor's formula, infinite series,
conic sections and other plane curves, polar coordinates, vectors, and solid
analytic geometry. Prerequisite: MTH 173. Credit 3.
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 170 or 199. 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 173. Normally offered in the Fall
Semester and in Summer Session II. Credit 3.
MTH 364 INTRODUCTION TO MATHEMATICAL THOUGHT. This
course
includes an introduction to sets, logic, the axiomatic method and proof.
Prerequisite: MTH
173. Normally offered in the Spring Semester and Summer Session I.
Credit 3.
MTH 375 CALCULUS IV. 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 274. 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 375 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
173. 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.
Credit 3.
MTH 383 GEOMETRIC MEASURE AND TRANSFORMATIONS. Topics included in this
course are measurement in one, two, and three dimensions, the metric system,
transformation geometry, congruencies, similarities, geometric constructions,
and coordinate systems. This course may be applied only toward elementary
school teacher certification. Prerequisite: MTH 285.
Normally offered in the
Spring Semester and either in the Fall Semester or in the Summer. Credit 3.
MTH 384 FOUNDATIONS OF MATHEMATICS. This course includes the study of
the development of the real number system, algebraic concepts and structures,
elementary number theory, and an introduction to logic. It may be applied only
toward elementary school teacher certification. Prerequisite: MTH 285. Normally
offered in the Fall Semester and in Summer Session I. Credit 3.
MTH 385 USING TECHNOLOGY IN MATHEMATICS. The basic fundamental model of
a computer is introduced and used as a basis for explaining the terminology
associated with using computer systems. Binary and machine representation of
information are discussed and elementary programming concepts are introduced.
Software applicable to teaching elementary school mathematics is examined.
Various microcomputers are used to provide hands-on experience. This course may
be applied only toward elementary school certification. Prerequisites:
MTH 285. Credit 3.
MTH 386 FUNDAMENTALS OF PROBABILITY AND STATISTICS. This course provides
an introduction to probability and descriptive statistics, including 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 elementary school teacher certification.
Prerequisite: MTH 265. Normally offered in the Spring
Semester and either in the Fall Semester or in the Summer. Credit 3.
MTH 387 FOUNDATIONS OF MIDDLE SCHOOL MATHEMATICS. Topics and projects in
mathematics 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 elementary or secondary certification. Prerequisite:
6 hrs. advanced mathematics. 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 274 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. Prerequisite: MTH 299 or
173. 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. 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 probabilities, 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 173 (Calculus II). 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 Fall Semester only. Credit 3.
MTH 485 MATHEMATICAL PROBLEM SOLVING. This is an introduction to
elementary techniques for obtaining numerical solutions to mathematical
problems. Topics will include problems from number theory, consumer
mathematics, geometry, algebra and probability and statistics. This course may
be applied only toward teacher certification. Prerequisite: Advanced standing
in mathematics. Normally offered in the Spring Semester only. Credit 3.
*Subject to action by the Board of Regents, The Texas State University System,
and the Texas Higher Education Coordinating Board.
Requirements are adjusted to accommodate program emphases.
Emphasis on Statistical Theory
A concentration of twelve semester hours is appropriate for students who need
an understanding of statistics to augment study in another field but who do not
require a minor in statistics. A typical concentration might consist of STA 379
and 380 with two additional courses selected from STA 381, 470, 471, 472, and
473.
STATISTICS COURSE DESCRIPTIONS
STA 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.
Prerequisite: Two years of high school algebra. Credit 3.
STA 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 MTH
379. Prerequisites: Three semester hours of mathematics and consent of
instructor. Credit 3.
STA 380 STATISTICAL DESIGN AND ANALYSIS OF EXPERIMENTS. Topics include
sampling designs and hypothesis testing in analysis of variance, analysis of
covariance, and regression analysis. Design characteristics, model diagnostics,
and hypothesis testing will be emphasized and work will be required on real
data. The MINITAB and SAS statistics packages will be applied. Prerequisite:
STA 379 or equivalent. Credit 3.
STA 381 SAMPLE SURVEY METHODS. The course treats principles needed in
planning and conducting sample surveys. Topics include random, stratified,
systematic, and cluster sampling methods as well as subsampling techniques.
Prerequisite: STA 379 or equivalent. Credit 3.
STA 470 SPECIAL TOPICS IN STATISTICS. This course is designed to
accommodate independent study and research with content determined by mutual
agreement of student and supervisor. However, it may also be taught as a
special organized class when there is sufficient student interest in a
particular project. Such topics as statistical quality control, modeling and
analysis, time series analysis, Monte-Carlo techniques and bootstrapping may be
included. This course may be taken for Academic Distinction credit. (See
Academic Distinction Program in this catalogue.) May be repeated for credit.
Prerequisites: Six semester hours of advanced statistics and consent of
instructor. Credit 3.
STA 471 THEORY AND APPLICATIONS OF PROBABILITY AND
STATISTICS I. Topics
include basic concepts and properties of probabilities, 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 MTH 471. Prerequisite: MTH 173 (Calculus II). Credit 3.
STA 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. Prerequisites: MTH 375 and
STA 471. Credit
3.
STA 473 NONPARAMETRIC STATISTICS. Topics include Chi-square
goodness-of-fit testing and inferences concerning location and scale. Specific
tests include the sign test, Wilcoxon signed-rank test, the Kruskal-Wallis
test, tests for randomness and trends, and contingency analyses. Prerequisites:
STA 379 and consent of instructor. Credit 3.
Return to the Arts and Sciences Undergraduate
Catalogue
Return to the Undergraduate Catalogue
STA 379, 380, 471, 472, and two courses elected from STA 381, 470, and
473.
Emphasis on Statistical MethodSTA 379, 380, 381, 470, 473, and one course elected from CS 477, MTH
394, and MTH 396.
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