UNDERGRADUATE CATALOG 2004-2006

Mathematics (MATH)

MATH 0310 Introductory Algebra (3-0) (Non-credit course)

The course begins with a review of signed numbers, rational numbers,
and exponents. Major topics include variables, linear equations and
inequalities, word problems, and operations with polynomials. This
course is designed as an introduction to MATH 0311. Credit hours
received for MATH 0310 may count toward removal of provisional
status, but may not be used to satisfy any institutional degree
requirements. Prerequisite: MATH 0309 with a grade of "C" or better
or placement by examination.

MATH 0311 Intermediate Algebra (3-0) (Non-credit course)

The course begins with a review of polynomials. Major topics include
rational expressions and equations, radical expressions, rational
exponents, complex numbers, quadratic equations, graphing lines,
and geometry. The course is designed as an introduction to MATH 1508
or 1320. Credit hours received for MATH 0311 may count toward
removal of provisional status, but may not be used to satisfy any
institutional degree requirements. Prerequisite: MATH 0310 or
placement by examination.

MATH 1312 Calculus II (3-0)

( MATH 2314) Continuation of MATH 1411. Topics include special methods of
integration and applications; infinite series. Prerequisite: MATH 1411.

MATH 1320 Mathematics for Social Sciences I (3-0)

( MATH 1324) Topics of college algebra and geometry including the algebra of sets;
linear, quadratic, exponential, and logarithmic functions; systems of
linear equations and inequalities; matrix algebra; probability and the
mathematics of finance. Prerequisite: An adequate score on a placement
examination, MATH 0311.

MATH 1411 Calculus I (4-0)

( MATH 2413) Topics include limits, continuity, differentiation, and integration of
functions of a single variable. Prerequisites: Four years of high school
mathematics including trigonometry and analytic geometry and an
adequate score on a placement examination, or MATH 1508.

MATH 1508 Precalculus (5-0)

( MATH 2412) Topics include the algebra of real functions, graphs of functions,
analytic geometry of first and second degree curves, rational functions,
exponential and logarithmic functions, and polynomial equations,
sequences, series, and mathematical induction. Prerequisite: An
adequate score on a placement examination or MATH 0311.

MATH 2300 Discrete Mathematics (3-0)

( MATH 2305) Topics in discrete mathematics including induction, recursion and
recurrence relations, sets and relations, combinatorics, and graph
theory. Prerequisite: MATH 1411.

MATH 2301 Mathematics for Social Sciences II (3-0)

( MATH 1325) Topics include linear programming and an introduction to differential
and integral calculus with applications to business and the social
sciences. Prerequisite: MATH 1320, or MATH 1508 or TCCN MATH 1314.

MATH 2303 Properties of the Real Numbers I (3-0)

( MATH 1350) A study of the arithmetic structure of the real numbers from an
advanced point of view. Relations with concepts from set theory,
groups, rings, and fields will be included. Prerequisite: MATH 1320 or
MATH 1508 or TCCN MATH 1314, or an acceptable score on a
placement examination.

MATH 2313 Calculus III (3-0)

( MATH 2315) Continuation of MATH 1312. Topics include solid analytic geometry,
partial differentiation, and multiple integrals. Prerequisite: MATH 1312.

MATH 2320 Mathematics of Interest (3-0)

Mathematical foundations; a calculus based development of the theory
of interest with applications including annuities, bonds, depreciation,
sinking funds, amortization schedules, insurance and yield rates.
Prerequisite: MATH 2301 or MATH 1312.

MATH 2325 Introduction to Higher Mathematics (3-0)

An introduction to mathematical problem solving, experimentation,
and proof writing, and the relationships among all three. The course
will be built around a series of in-depth problems from a variety of
areas of higher mathematics, especially those not encountered in
pre-calculus and calculus courses. Corequisite: MATH 1411.

MATH 2326 Differential Equations (3-0)

( MATH 2320) An analytical, graphical, and numerical study of first order equations
and system of equations, modeling, bifurcations, linearization, and
Laplace transforms. Prerequisite: MATH 1312.

General Prerequisite: All required lower-division courses in the major should
be completed with a grade of "C" or better in order to enroll in upper-division
courses in the major. Some upper-division courses may be applied toward
graduate degrees; students should consult the Graduate Catalog for the
listing of these courses.

MATH 3300 History of Mathematics (3-0)

One of two periods will be addressed: (1) Pre-17th century history:
Mathematical contributions for various cultures and eras from
Babylonia to 16th century Europe are reviewed with special focus on
Greek mathematics. (2) Early modern history: A historical account of
the genesis of trigonometry, logarithms, analytic geometry, calculus,
and the study of functions, with an emphasis on the period of the
European scientific revolution (1600-1750). Original works by noted
mathematicians will be examined in order to understand the evolution
of our current mathematics curriculum. May be repeated for credit
when the periods differ. Prerequisite: MATH 1411 or instructor approval.

MATH 3303 Properties of the Real Numbers II (3-0)

Additional topics in the structure of the real numbers. Basic number
theory including divisibility and congruences. Topics in finite mathematics.
Prerequisite: MATH 1508.

MATH 3304 Fundamentals of Geometry from an Advanced Standpoint (3-0)

An axiomatic treatment of Euclidean geometry including some
historical perspectives. Informal treatment of other geometries such
as distance and hyperbolic geometry. Prerequisite: MATH 1508.

MATH 3305 Conceptual Mathematics From Multiple Perspectives I (3-0)

An inquiry-based course emphasizing connections between elementary
and advanced mathematics, and across the fields of mathematics.
Topics include a conceptual analysis of integer arithmetic and algorithms,
geometry and measurement, and applications to data analysis.
Multiple representations of mathematical concepts will be stressed,
along with mathematical reasoning and perspectives. Prerequisite:
MATH 2303 with a grade of "C" or better.

MATH 3308 Conceptual Algebra From Multiple Perspectives (3-0)

An inquiry-based course focusing on ration, proportion, functions,
algebra, and geometry with an emphasis on reasoning and conceptual
mathematical thinking. Appropriate technology and mathematical
perspectives will be integrated with the content. Prerequisite: MATH
2303 with a grade of "C" or better.

MATH 3309 Conceptual Mathematics From Multiple Perspectives II (3-0)

An inquiry-based course emphasizing connections between
elementary and advanced mathematics, and across the fields of
mathematics. Topics include a conceptual analysis of rational
arithmetic and algorithms, multiplicative thinking, geometry and
measurement, patterns and functions, discrete mathematical
structures, and applications to data analysis. Multiple representations
of mathematical concepts will be stressed, along with mathematical
reasoning and perspectives. Prerequisite: MATH 3308 with a grade
of "C" or better.

MATH 3319 Elementary Number Theory (3-0)

An introduction to some of the classical topics in number theory
including divisibility, congruences, and quadratic reciprocity. Diophantine
equations and the distribution of primes. Prerequisite: MATH 1312.

MATH 3320 Actuarial Mathematics (3-0)

Individual and collective risk models. Survival distributions and life
contingency tables. Models for life insurance and multiple life functions.
Prerequisite: STAT 3330.

MATH 3323 Matrix Algebra (3-0)

Systems of linear equations, matrices, determinants, eigenvalues
and eigenvectors, diagonalization, vector spaces, and linear
transformations. Prerequisite: MATH 1312.

MATH 3325 Principles of Mathematics (3-0)

Logic and proofs, elements of set theory, relations and functions:
application of these ideas. Cardinality, groups and their quotients,
and the field of real numbers. Prerequisite: MATH 1312.

MATH 3328 Foundations of Mathematics (3-0)

Study of principles of mathematical thinking and of common objects
of mathematical thought. Emphasis on one of these aspects: Logic;
Set Theory; Geometry; Topology. May be repeated for credit if subjects
differ. Prerequisite: MATH 1312.

MATH 3335 Applied Analysis I (3-0)

Line and surface integrals, change of variable in multiple integrals,
vector analysis, and an introduction to complex variables.
Prerequisite: MATH 2313.

MATH 3341 Introduction to Analysis (3-0)

A theoretical study of the foundations of the calculus of functions of
one variable. Includes the real number system, convergence, continuity,
differentiability, and elementary integration theory. Prerequisite:
MATH 3325 or MATH 1312 each with a grade of "C" or better and
consent of the instructor.

MATH 4199 Individual Studies in Mathematics (0-0-1)

MATH 4399 Individual Studies in Mathematics (0-0-3)

Studies of topics not included in or going beyond the regular course
offerings. May be repeated for credit. Prerequisite: Department approval.

MATH 4325 Modern Algebra (3-0)

Groups, rings, integral domains, and fields. Prerequisite: MATH 3325
with a grade of "C" or better.

MATH 4326 Linear Algebra (3-0)

Vector spaces, linear transformations and matrix representations,
canonical forms, eigenvalues, invariant subspaces, orthogonal and
unitary transformations, and bilinear and quadratic forms.
Prerequisite: MATH 3325.

MATH 4329 Numerical Analysis (3-0)

The course covers numerical algorithms for approximation of functions,
quadrature, solution of ordinary differential equations, solution of
nonlinear equations, solution of linear systems of equations, computing
eigenvalues and eigenvectors. Many computer applications will be
required. Prerequisites: MATH 3323 and a working knowledge of a
high level programming language.

MATH 4336 Applied Analysis II (3-0)

Series solutions of differential equations. Fourier series and Fourier
integrals. Bessel's equation and Bessel functions. Legendre's
equation and Legendre polynomials, the Sturm-Liouville problem and
eigenfunction expansions, and an introduction to partial differential
equations. Prerequisite: MATH 2326 or MATH 3326.

MATH 4341 Real Analysis (3-0)

Convergence of series of constant terms; convergence of sequences
and series of functions; and analysis of functions of several variables
to include the differential approximation theorem, the inverse function
theorem, and the implicit function theorem. Prerequisite: MATH 3341.

MATH 4370 Topics Seminar (3-0)

Organized lectures in mathematics on topics not represented among
the other course offerings. Prerequisite: Junior standing; additional
prerequisites may be announced as required by the topics. May be
repeated for credit.

STAT 1380 Basics of Descriptive and Inferential Statistics (3-0)

A course in statistical literacy. Emphasis will be on standard descriptive
measures of location, spread, and association. Regression, probability
and sampling, and binomial distribution. Interpretation of data which
occur in daily life (polls, weather forecasting, surveys, quality control,
etc.) will be stressed. Prerequisite: MATH 1320, or MATH 1508, or
equivalent or TCCN MATH 1314.

STAT 2182 Computing Laboratory for Statistics 2380 (0-2)

Practical exercises in the handling of statistical data and experimental
sampling as related to the course work in STAT 2380. Includes an
introduction to data processing. Corequisite: STAT 2380.

STAT 2380 Statistical Methods I (3-0)

(MATH 1342; MATH 1351)

An elementary introduction to statistical concepts and methods.
Descriptive statistics, elementary probability, binomial distribution,
normal distribution, estimation and hypothesis testing for one- and
two-sample problems, simple linear regression, and correlation.
Corequisite: STAT 2182. Prerequisite: MATH 1320, or MATH 1508, or
equivalent, or TCCN MATH 1314.

STAT 2381 Statistical Methods II (3-0)

A continuation of Statistics 2380 with treatment of more advanced
statistical methods. Chi-square goodness-of-fit and contingency table
analysis, analysis of variance and multiple comparisons, multiple
linear regression and correlation and analysis. Prerequisites: STAT 2380-
STAT 2182.

General Prerequisite: All required lower-division courses in the major should
be completed with a grade of "C" or better in order to enroll in upper-division
courses in the major. Some upper-division courses may be applied toward
graduate degrees; students should consult the Graduate Catalog for the
listing of these courses.

STAT 3330 Probability (3-0)

Theory and applications of probability models. Sample space,
combinatorics, conditional probability, random variables, discrete and
continuous probability distributions, expectation, moment generating
functions, law of large numbers, and central limit theorem.
Prerequisite: MATH 2313.

STAT 4380 Statistics I (3-0)

A calculus-based development of statistical concepts and methods.
Distribution theory, point and interval estimation and hypothesis
testing in parametric statistical models, chi-square goodness-of-fit
and contingency table analysis, simple linear regression analysis,
and introduction to analysis of variance. Prerequisite: STAT 3330.


MATH 0310	Introductory Algebra (3-0) (Non-credit course)
	The course begins with a review of signed numbers, rational numbers, and exponents. Major topics include variables, linear equations and inequalities, word problems, and operations with polynomials. This course is designed as an introduction to MATH 0311. Credit hours received for MATH 0310 may count toward removal of provisional status, but may not be used to satisfy any institutional degree requirements. Prerequisite: MATH 0309 with a grade of "C" or better or placement by examination.
MATH 0311	Intermediate Algebra (3-0) (Non-credit course)
	The course begins with a review of polynomials. Major topics include rational expressions and equations, radical expressions, rational exponents, complex numbers, quadratic equations, graphing lines, and geometry. The course is designed as an introduction to MATH 1508 or 1320. Credit hours received for MATH 0311 may count toward removal of provisional status, but may not be used to satisfy any institutional degree requirements. Prerequisite: MATH 0310 or placement by examination.
MATH 1312	Calculus II (3-0)
( MATH 2314)	Continuation of MATH 1411. Topics include special methods of integration and applications; infinite series. Prerequisite: MATH 1411.
MATH 1320	Mathematics for Social Sciences I (3-0)
( MATH 1324)	Topics of college algebra and geometry including the algebra of sets; linear, quadratic, exponential, and logarithmic functions; systems of linear equations and inequalities; matrix algebra; probability and the mathematics of finance. Prerequisite: An adequate score on a placement examination, MATH 0311.
MATH 1411	Calculus I (4-0)
( MATH 2413)	Topics include limits, continuity, differentiation, and integration of functions of a single variable. Prerequisites: Four years of high school mathematics including trigonometry and analytic geometry and an adequate score on a placement examination, or MATH 1508.
MATH 1508	Precalculus (5-0)
( MATH 2412)	Topics include the algebra of real functions, graphs of functions, analytic geometry of first and second degree curves, rational functions, exponential and logarithmic functions, and polynomial equations, sequences, series, and mathematical induction. Prerequisite: An adequate score on a placement examination or MATH 0311.
MATH 2300	Discrete Mathematics (3-0)
( MATH 2305)	Topics in discrete mathematics including induction, recursion and recurrence relations, sets and relations, combinatorics, and graph theory. Prerequisite: MATH 1411.
MATH 2301	Mathematics for Social Sciences II (3-0)
( MATH 1325)	Topics include linear programming and an introduction to differential and integral calculus with applications to business and the social sciences. Prerequisite: MATH 1320, or MATH 1508 or TCCN MATH 1314.
MATH 2303	Properties of the Real Numbers I (3-0)
( MATH 1350)	A study of the arithmetic structure of the real numbers from an advanced point of view. Relations with concepts from set theory, groups, rings, and fields will be included. Prerequisite: MATH 1320 or MATH 1508 or TCCN MATH 1314, or an acceptable score on a placement examination.
MATH 2313	Calculus III (3-0)
( MATH 2315)	Continuation of MATH 1312. Topics include solid analytic geometry, partial differentiation, and multiple integrals. Prerequisite: MATH 1312.
MATH 2320	Mathematics of Interest (3-0)
	Mathematical foundations; a calculus based development of the theory of interest with applications including annuities, bonds, depreciation, sinking funds, amortization schedules, insurance and yield rates. Prerequisite: MATH 2301 or MATH 1312.
MATH 2325	Introduction to Higher Mathematics (3-0)
	An introduction to mathematical problem solving, experimentation, and proof writing, and the relationships among all three. The course will be built around a series of in-depth problems from a variety of areas of higher mathematics, especially those not encountered in pre-calculus and calculus courses. Corequisite: MATH 1411.
MATH 2326	Differential Equations (3-0)
( MATH 2320)	An analytical, graphical, and numerical study of first order equations and system of equations, modeling, bifurcations, linearization, and Laplace transforms. Prerequisite: MATH 1312.

	General Prerequisite: All required lower-division courses in the major should be completed with a grade of "C" or better in order to enroll in upper-division courses in the major. Some upper-division courses may be applied toward graduate degrees; students should consult the Graduate Catalog for the listing of these courses.
MATH 3300	History of Mathematics (3-0)
	One of two periods will be addressed: (1) Pre-17th century history: Mathematical contributions for various cultures and eras from Babylonia to 16th century Europe are reviewed with special focus on Greek mathematics. (2) Early modern history: A historical account of the genesis of trigonometry, logarithms, analytic geometry, calculus, and the study of functions, with an emphasis on the period of the European scientific revolution (1600-1750). Original works by noted mathematicians will be examined in order to understand the evolution of our current mathematics curriculum. May be repeated for credit when the periods differ. Prerequisite: MATH 1411 or instructor approval.
MATH 3303	Properties of the Real Numbers II (3-0)
	Additional topics in the structure of the real numbers. Basic number theory including divisibility and congruences. Topics in finite mathematics. Prerequisite: MATH 1508.
MATH 3304	Fundamentals of Geometry from an Advanced Standpoint (3-0)
	An axiomatic treatment of Euclidean geometry including some historical perspectives. Informal treatment of other geometries such as distance and hyperbolic geometry. Prerequisite: MATH 1508.
MATH 3305	Conceptual Mathematics From Multiple Perspectives I (3-0)
	An inquiry-based course emphasizing connections between elementary and advanced mathematics, and across the fields of mathematics. Topics include a conceptual analysis of integer arithmetic and algorithms, geometry and measurement, and applications to data analysis. Multiple representations of mathematical concepts will be stressed, along with mathematical reasoning and perspectives. Prerequisite: MATH 2303 with a grade of "C" or better.
MATH 3308	Conceptual Algebra From Multiple Perspectives (3-0)
	An inquiry-based course focusing on ration, proportion, functions, algebra, and geometry with an emphasis on reasoning and conceptual mathematical thinking. Appropriate technology and mathematical perspectives will be integrated with the content. Prerequisite: MATH 2303 with a grade of "C" or better.
MATH 3309	Conceptual Mathematics From Multiple Perspectives II (3-0)
	An inquiry-based course emphasizing connections between elementary and advanced mathematics, and across the fields of mathematics. Topics include a conceptual analysis of rational arithmetic and algorithms, multiplicative thinking, geometry and measurement, patterns and functions, discrete mathematical structures, and applications to data analysis. Multiple representations of mathematical concepts will be stressed, along with mathematical reasoning and perspectives. Prerequisite: MATH 3308 with a grade of "C" or better.
MATH 3319	Elementary Number Theory (3-0)
	An introduction to some of the classical topics in number theory including divisibility, congruences, and quadratic reciprocity. Diophantine equations and the distribution of primes. Prerequisite: MATH 1312.
MATH 3320	Actuarial Mathematics (3-0)
	Individual and collective risk models. Survival distributions and life contingency tables. Models for life insurance and multiple life functions. Prerequisite: STAT 3330.
MATH 3323	Matrix Algebra (3-0)
	Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, diagonalization, vector spaces, and linear transformations. Prerequisite: MATH 1312.
MATH 3325	Principles of Mathematics (3-0)
	Logic and proofs, elements of set theory, relations and functions: application of these ideas. Cardinality, groups and their quotients, and the field of real numbers. Prerequisite: MATH 1312.
MATH 3328	Foundations of Mathematics (3-0)
	Study of principles of mathematical thinking and of common objects of mathematical thought. Emphasis on one of these aspects: Logic; Set Theory; Geometry; Topology. May be repeated for credit if subjects differ. Prerequisite: MATH 1312.
MATH 3335	Applied Analysis I (3-0)
	Line and surface integrals, change of variable in multiple integrals, vector analysis, and an introduction to complex variables. Prerequisite: MATH 2313.
MATH 3341	Introduction to Analysis (3-0)
	A theoretical study of the foundations of the calculus of functions of one variable. Includes the real number system, convergence, continuity, differentiability, and elementary integration theory. Prerequisite: MATH 3325 or MATH 1312 each with a grade of "C" or better and consent of the instructor.
MATH 4199	Individual Studies in Mathematics (0-0-1)
MATH 4399	Individual Studies in Mathematics (0-0-3)
	Studies of topics not included in or going beyond the regular course offerings. May be repeated for credit. Prerequisite: Department approval.
MATH 4325	Modern Algebra (3-0)
	Groups, rings, integral domains, and fields. Prerequisite: MATH 3325 with a grade of "C" or better.
MATH 4326	Linear Algebra (3-0)
	Vector spaces, linear transformations and matrix representations, canonical forms, eigenvalues, invariant subspaces, orthogonal and unitary transformations, and bilinear and quadratic forms. Prerequisite: MATH 3325.
MATH 4329	Numerical Analysis (3-0)
	The course covers numerical algorithms for approximation of functions, quadrature, solution of ordinary differential equations, solution of nonlinear equations, solution of linear systems of equations, computing eigenvalues and eigenvectors. Many computer applications will be required. Prerequisites: MATH 3323 and a working knowledge of a high level programming language.
MATH 4336	Applied Analysis II (3-0)
	Series solutions of differential equations. Fourier series and Fourier integrals. Bessel's equation and Bessel functions. Legendre's equation and Legendre polynomials, the Sturm-Liouville problem and eigenfunction expansions, and an introduction to partial differential equations. Prerequisite: MATH 2326 or MATH 3326.
MATH 4341	Real Analysis (3-0)
	Convergence of series of constant terms; convergence of sequences and series of functions; and analysis of functions of several variables to include the differential approximation theorem, the inverse function theorem, and the implicit function theorem. Prerequisite: MATH 3341.
MATH 4370	Topics Seminar (3-0)
	Organized lectures in mathematics on topics not represented among the other course offerings. Prerequisite: Junior standing; additional prerequisites may be announced as required by the topics. May be repeated for credit.
STAT 1380	Basics of Descriptive and Inferential Statistics (3-0)
	A course in statistical literacy. Emphasis will be on standard descriptive measures of location, spread, and association. Regression, probability and sampling, and binomial distribution. Interpretation of data which occur in daily life (polls, weather forecasting, surveys, quality control, etc.) will be stressed. Prerequisite: MATH 1320, or MATH 1508, or equivalent or TCCN MATH 1314.
STAT 2182	Computing Laboratory for Statistics 2380 (0-2)
	Practical exercises in the handling of statistical data and experimental sampling as related to the course work in STAT 2380. Includes an introduction to data processing. Corequisite: STAT 2380.
STAT 2380	Statistical Methods I (3-0)
(MATH 1342;	MATH 1351)
	An elementary introduction to statistical concepts and methods. Descriptive statistics, elementary probability, binomial distribution, normal distribution, estimation and hypothesis testing for one- and two-sample problems, simple linear regression, and correlation. Corequisite: STAT 2182. Prerequisite: MATH 1320, or MATH 1508, or equivalent, or TCCN MATH 1314.
STAT 2381	Statistical Methods II (3-0)
	A continuation of Statistics 2380 with treatment of more advanced statistical methods. Chi-square goodness-of-fit and contingency table analysis, analysis of variance and multiple comparisons, multiple linear regression and correlation and analysis. Prerequisites: STAT 2380- STAT 2182.

	General Prerequisite: All required lower-division courses in the major should be completed with a grade of "C" or better in order to enroll in upper-division courses in the major. Some upper-division courses may be applied toward graduate degrees; students should consult the Graduate Catalog for the listing of these courses.

STAT 3330	Probability (3-0)
	Theory and applications of probability models. Sample space, combinatorics, conditional probability, random variables, discrete and continuous probability distributions, expectation, moment generating functions, law of large numbers, and central limit theorem. Prerequisite: MATH 2313.
STAT 4380	Statistics I (3-0)
	A calculus-based development of statistical concepts and methods. Distribution theory, point and interval estimation and hypothesis testing in parametric statistical models, chi-square goodness-of-fit and contingency table analysis, simple linear regression analysis, and introduction to analysis of variance. Prerequisite: STAT 3330.