Options: Undergraduate - Graduate
UNDERGRADUATE
- MTH 105 INTRODUCTION TO MATHEMATICAL METHODS
1 semester, 3 hours
This course is designed to introduce the student with a minimum math
background to the problem solving process within relevant mathematical
areas. Topics will be selected from mathematical logic, the problem solving
process, probabilistic models, statistical inference, consumer mathematics,
and basic computer programming.
- MTH 107 MATHEMATICS FOR BUSINESS ANALYSIS I
1 semester, 3 hours
A basic introduction to the properties and applications of functions, linear
systems and probability, for students in business and the social sciences.
Topics include linear equations and inequalities, functions, graphs, solving
systems of simultaneous linear equations, matrices, probability, mathematics
of finance, and an introduction to differential calculus.
- MTH 108 MATHEMATICS FOR BUSINESS ANALYSIS II
1 semester, 3 hours
A basic introduction to the properties and application of the calculus, for
students in business and social sciences. Topics include differentiation,
integration, and the logarithmic and exponential functions.
- MTH 109 CALCULUS I
1 semester, 3 hours
An introduction to the basic theory of differential and integral calculus
with applications in the biological and
social sciences. This course introduces students to one-variable calculus
and covers topics in limits and differentiation. The emphasis is on
applications of calculus to problems in the biological and social sciences.
Not open to students with credit in mth 131.
- MTH 110 CALCULUS II
1 semester, 3 hours
A continuation of MTH 109. This course covers topics in integration in
one-variable calculus and gives an introduction to the calculus of functions
of two variables. Not open to students with credit in mth 132.
- MTH 117 DISCRETE MATHEMATICS
1 semester, 3 hours
This course is designed to introduce the student to the various discrete
topics needed for the study of computer science. These topics include set
theory, function theory, logic, proof theory, combinatorics, induction,
recursion, the algorithmic process, algebraic structures, and graph theory.
Formerly MTH 201.
- MTH 131 CALCULUS AND ANALYTICAL GEOMETRY I
1 semester, 3 hours
This course is required for all mathematics, EPS, and chemistry &
biochemistry majors. An introduction to
one-variable calculus, to some of its uses and to the ideas that underlie
the subject. The main topics are limits and differentiation. This course is
more theoretical in its approach than mth 109. It includes trigonometric
functions, a topic not covered in mth 109. Not open to students with
credit in mth 109.
- MTH 132 CALCULUS AND ANALYTICAL GEOMETRY II
1 semester, 3 hours
This course is required for all mathematics, EPS, and chemistry &
biochemistry majors. A continuation of
mth 131. The main topics are integration, sequences, and series, and
applications of integration. Not open to students with credit in mth 110.
- MTH 215 LINEAR ALGEBRA
1 semester, 3 hours
A systematic study of the basic concepts of linear algebra. Topics include
systems of linear equations, matrices, determinants, finite dimensional
vector spaces, linear transformation, eigenvalues, eigenvectors and
diagonalization.
- MTH 217 INTRODUCTION TO STATISTICS
1 semester, 3 hours
An introductory course for the student interested in applications of
statistical methods. Topics include probability, sampling, estimation,
hypothesis testing, variance analysis, correlation, and regression.
- MTH 223 CALCULUS III
1 semester, 3 hours
This course is required for all mathematics, EPS, and chemistry majors, and
is recommended for biochemistry majors. A continuation of mth 132. The main
topic is multivariable calculus.
- MTH 301 FOUNDATIONS OF MATHEMATICS
1 semester, 3 hours
This course is designed to aid the student in the transition from calculus
to the study of advanced courses in mathematics. Topics in logic,
set theory, relations, functions, cardinality, and algebra will be
discussed. Emphasis will be placed on the rigorous deductive process
characteristics of the study of mathematics and computer science.
Prerequisite: Calculus or permission of instructor
- MTH 302 TOPICS IN THE MATHEMATICAL LOGIC
1 semester, 3 hours
An introduction to aspects of logic appropriate to both
the mathematics and computer science student. Topics in propositional and
predicate logic, formal theories, commputability and metamathematics
will be discussed. Prerequisite: Calculus or permission of instructor
- MTH 304 DIFFERENTIAL EQUATIONS
1 semester, 3 hours
Theory of linear differential equations and methods of solution, including
series and transforms. Prerequisite: MTH 223
- MTH 307 COMBINATORIAL THEORY
1 semester, 3 hours
An introduction into the basic techniques of combinatorial mathematics
including fundamental enumeration principles and algebraic counting techniques.
- MTH 309 GEOMETRY
1 semester, 3 hours
The aim of this course is to familiarize the student with the principles of
deductive reasoning through geometry. Topics include a review of the basic
concepts encountered in Euclidean geometry and a historical development of
non-Euclidean geometry.
- MTH 315 ABSTRACT ALGEBRA I
1 semester, 3 hours
Required for all mathematics majors. An introduction to the elementary
theory of groups. Topics: the basic properties of groups, Cayley tables,
examples of groups, finite and infinite groups, abelian and non-abelian
groups, subgroups and their properties. Cyclic Groups (including the
fundamental theorem), the permutation and dihedral groups and their
subgroups, group isomorphism and Cayley’s theorem, group homomorphisms,
Lagrange’s theorem, normal subgroups and factor groups, direct products and
the fundamental theorem of abelian groups. Prerequisites: mth 215 and 301
or permission of instructor.
- MTH 316 ABSTRACT ALGEBRA II
1 semester, 3 hours
Essential for anyone thinking of attending graduate school in mathematics.
Topics include: the basic properties of rings, commutative and
non-commutative rings, integral domains, rings with non-zero characteristic,
ring homeomorphisms, polynomial rings, ideals, principal ideal domains,
prime and maximal ideals, factor rings, factoring and decomposition problems
(including Eisenstein’s Criterion), finite fields (existence and
construction of), unique factorization domains, irreducible and prime
elements,
Euclidean domains, an introduction to field extensions. Prerequisite: mth
315 or permission of instructor.
- MTH 317 NUMBER THEORY
1 semester, 3 hours
An investigation into the basic properties of the integers. Topics include
sums of squares, divisibility, the Chinese remainder theorem, and quadratic
reciprocity law.
- MTH 323 REAL ANALYSIS I
1 semester, 3 hours
Axioms for the real numbers, topology of the real
numbers, Heine-Borel theorem, Bolzano-Weierstrass
theorem, continuous and uniformly continuous functions,
extreme and intermediate value theorems,
differentiable functions, mean value theorem, Taylor's
theorem, Riemann integral, fundamental theorem of
calculus, sequences and series of functions, topology
of Euclidean space, differentiation and integration in
Euclidean space, inverse function theorem. Prerequisite: mth 110, mth 132, or mth 223.
- MTH 324 REAL ANALYSIS II
1 semester, 3 hours
A continuation of mth 323.
Prerequisite: mth 323.
- MTH 331 GRAPH THEORY
1 semester, 3 hours
An introduction into the fundamental techniques and basic concepts of graph
theory. Topics include enumeration, connectivity, colorability,
traversability, and external problems.
- MTH 395-396 RESEARCH
2 semesters, 3 hours each
In this course the student has the opportunity to investigate in detail an
area or topic in mathematics. Both the topic and instructor(s) should be
selected by the student. Permission to register for this course must be
obtained by the instructor(s) whose guidance is sought.
- MTH 409 INTRODUCTION TO GENERAL TOPOLOGY
1 semester, 3 hours
The axiom of Choice and its equivalences, metric and topological spaces,
compactness, connectedness, separation, continuous maps and their
invariants, the structure of C(X,R), the Stone-Cech Compactification, and
the Stone-Weierstrass Approximation theorems. Prerequisites: MTH 324 and
permission of the instructor
- MTH 410 INTRODUCTION TO FUNCTIONS OF A COMPLEX VARIABLE
1 semester, 3 hours
The structure of the complex field, differentiation, the line integral and
its applications, series, and conformal mappings are studied. Prerequisites: MTH 315, 323 and permission of the instructor
- MTH 417 TOPICS IN APPLIED MATHEMATICS
1 semesters, 3 hours
Selected topics in advanced calculus, and applied mathematics, including
topics in partial differential equations, Fourier Series, optimization,
linear algebra, and numerical methods. Prerequisite: MTH 223
- MTH 423-424 MATHEMATICAL STATISTICS
2 semesters, 3 hours each
An introduction to probability theory and mathematical statistics. It will
include a discussion of various probability distributions and their moments,
limit theorems, classical and Bayesian inference and estimation, regression,
correlation, and non-parametric methods. Prerequisite: MTH 223
- MTH 433 SEMINAR
Variable credit/selected topics.
Prerequisite: Permission of the chairperson
- MTH 435 HISTORY OF MATHEMATICS
1 semester, 3 hours
An introduction to the history of mathematics, beginning with the origin of
mathematics in the great civilizations of antiquity and progressing through
the first few decades of this century. Prerequisite: One year of the calculus
- MTH 440 NUMERICAL ANALYSIS I
1 semester, 3 hours
This course is the same as CSC 450. Applications of the digital computer to
solutions of problems. Topics included are solutions to non-linear
equations, polynomial interpolation and approximation, numerical
differentiation and integration, and curve fitting. Prerequisite: MTH 110 or 132
- MTH 450 INTERNSHIP
1 semester, 1-3 credits
See chair to enroll in this course.
- MTH 495-496 Research
2 semesters, 3 hours each
A continuation of 397 and 398
|
GRADUATE
- MTH 500 Foundations of Mathematics
3 credits
A course in the foundations of mathematics designed to help prepare students
for the study of graduate-level mathematics. Topics in set theory, class
theory, the philosophy of mathematics, and formal systems will be discussed.
Emphasis will be placed on the rigorous deductive process characteristic of
the study of mathematics.
- MTH 501 Algebraic Structures I
3 credits
This course covers the essentials of groups, rings, and fields. Topics
include: homomorphisms, isomorphisms of groups, factor groups, fields of
quotients of polynomials, and extension fields.
- MTH 502 Algebraic Structures II
3 credits
This course will discuss the development of vector spaces and linear
transformations including the eigenvalue problem and canonical forms.
- MTH 504 Difference and Differential Equations
3 credits
This course will discuss the relationship between the theories of
differential and difference equations will be analyzed. Topics include
stability, oscillation, linearization, and chaos.
- MTH 506 History of Mathematics
3 credits
This course consists of a historical development of the calculus from the
Greeks to eighteenth century analysts. The readings will be mainly from
primary sources and
students will be expected to do some short independent research projects.
- MTH 507 Number Theory
3 credits
This course will investigate some interesting and intriguing properties of
the natural numbers by studying the work of Fermat, Euler, and Gauss. It
will cover many of the well-known theorems, proofs, conjectures, and
unsolved problems from number theory. Basic properties of prime and
composite numbers will be explored, as well as the theory of divisibility,
congruences, and cryptology.
- MTH 511 Mathematical Analysis I
3 credits
This course includes topics in limits, metric spaces, sequences,
connectedness, completeness, compactness and continuity will be discussed.
- MTH 512 Mathematical Analysis II
3 credits
This course is a continuation of Math 511. Topics in sequences of functions,
Riemann Integration and measure theory will be discussed.
- MTH 514 Numerical Analysis
3 credits
This course discusses the application of numerical techniques to finding
roots of algebraic equations, polynomial interpolation,
estimating derivatives and integrals, and curve fitting. Practical applications will
be done using EXCEL and JavaScript routines on the Internet.
- MTH 516 Graphing Calculators and Computer Applications in the Classroom*
3 credits
Teachers enrolling in the course will learn how to use the graphing
calculator (TI-82, TI-83 and TI-73) and many of its unique features as a
learning tool. Each teacher will experience a number of lessons that can be
used in their classrooms. The course is designed to be a practical
“hands-on” experience for teachers who wish to add new and innovative
lessons into their teaching practices.
Same as edu 594.
- MTH 518 General Topology
3 credits
This course discusses metric and topological spaces, separation, and
continuous maps and their invariants. The Stone-Cech Compactification and
the Stone-Weierstrass theorems will also be discussed.
- MTH 523 Probability and Statistics
3 credits
Classical verses subjective probability, probability models, limit theorems,
statistical inference and data analysis, categorical data analysis and
regression, correlation and prediction will be discussed.
- MTH 526 Mathematics for Elementary Teachers**
3 credits
A course designed to increase the effectiveness of math instruction by
elementary teachers. Topics include: decimals, fractions, ratio and
proportion, percents, exponents, signed numbers, inequalities, factoring,
graphing, and angles.
- MTH 530 Topics in Geometry
3 credits
This course begins with a brief look at the work of the ancient Greek
geometers. Then we will look at axiomatic systems in general and the axioms
of Euclidean geometry in particular. Other topics include transformations,
geometric construction, projective geometry, and Non-Euclidean geometries.
- MTH 536 Topics in Real Variables
3 credits
- MTH 537 Topics in Complex Variables
3 credits
- MTH 538 Topics in Algebra
3 credits
- MTH 539 Topics in Logic
3 credits
- MTH 540 Topics in Applied Mathematics
3 credits
- MTH 541 Topics in Category Theory
3 credits
- MTH 545 Topics in Combinatorics
3 credits
- MTH 546 Topics in Discrete Mathematics
3 credits
- MTH 547 Topics in Algebraic Topology
3 credits
- MTH 548 Topics in Functional Analysis
3 credits
- MTH 640 Computers in Education*
3 credits
This course shows the use of computers in the classroom setting through
hands-on lab assignments focusing on both tool uses and instructional uses
of the computer. A strong emphasis will be placed on integrating technology
in the curriculum. Topics to be covered include word processing, databases,
spreadsheets, desktop publishing, Internet, multimedia, and software
evaluation. No previous experience with computers is required.
- MTH 706 Topics in Mathematics Education I
3 credits
The theoretical foundations of various topics in secondary school
mathematics and the relationship between theoretics and pedagogy will be
discussed. Topics in the algorithms of arithmetic, functions, relations,
geometry, trigonometry, algebra, number theory, probability, logic and
calculus will be introduced.
Same as edu 706.
- MTH 709 Computers in Secondary SchooL
MATHEMATICS*
3 credits
An introduction to the utilization of the computer to enhance the teaching
of mathematics. Topics include using the computer as a tutor and as a tool
to both investigate fundamental concepts and to solve complex real-world
problems. Emphasis will be placed on the use of a computer algebra system
with numerical, symbolic, and graphical capabilities. Knowledge of
programming is not a prerequisite for this course.
Same as edu 709.
- MTH 710 Topics in Mathematics Education II
3 credits
A continuation of Topics in Math Education I with particular emphasis on the
nature, application, and implementation of the NCTM Standards.
* Can be used to fulfill education requirements, but
not math requirements for the M.A. degree.
** Cannot be used for M.A. credit.
|
