MATH 542 Applied Statistics -- 3 cr
This
course will cover the basics of statistical testing,
regression analysis, experimental design, analysis of
variance, the use of computers to analyze statistical
problems.
Prereq: MATH 255 and MATH 280.
MATH 555 Matrices And Linear Algebra -- 3 cr
Systems of linear equations, matrices and determinants, finite dimensional vector spaces, linear dependence, bases, dimension, linear mappings, orthogonal bases, and eigenvector theory. Applications stressed throughout.
Prereq: MATH 253 or MATH 250 or consent of instructor.
MATH 575 Development Of Mathematics -- 3 cr
A study of the development of mathematical notation and ideas from prehistoric times to the present. Periods and topics will be chosen corresponding to the backgrounds and interests of the students.
Prereq: MATH 152 or equivalent preparation as determined by the math department.
MATH 615 Modern Algebra And Number Theory For The
Elementary Teacher -- 3 cr
An introduction to modern algebra with special emphasis on the number systems and algorithms which underlie the mathematics curriculum of the elementary school. Topics from logic, sets, algebraic structures, and number theory.
Prereq: MATH 149 and MATH 152.
MATH 616 Geometry For The Elementary Teacher -- 3 cr
A study of the intuitive, informal geometry of sets of points in space. Topics include elementary constructions, coordinates and graphs, tessellations, transformations, problem solving, symmetries of polygons and polyhedra, and use of geometry computer software.
Prereq: MATH 149 and MATH 152.
MATH 617 Theory Of Numbers -- 3 cr
A study of the properties of integers, representation of integers in a given base, properties of primes, arithmetic functions, module arithmetic. Diophantine equations and quadratic residues. Consideration is also given to some famous problems in number theory.
Prereq: MATH 280 or MATH 415 or consent of instructor .
MATH 631 Topology -- 3 cr
An introduction to point-set topology, including such topics as topological spaces, mappings, connectedness, compactness, separation axioms, metric spaces, complete spaces, product spaces and function spaces.
Prereq: MATH 255 and either MATH 280 or consent of instuctor.
MATH 641 Probability Theory -- 3 cr
Probability spaces, discrete and continuous random
variables, mathematical expectation, discrete and continuous
distributions.
Prereq: MATH 255 and MATH 280 or consent of instructor.
MATH 642 Mathematical Statistics -- 3 cr
This
course will cover moment generating functions, moment of
linear combinations of random variables, conditional
expectation, functions of random variables, sampling
distributions, the theory of estimation, Bayesian estimation,
hypothesis testing, nonparametric tests, and linear models.
Prereq: MATH 441 and MATH 355 or consent of
instructor.
MATH 646 Actuarial Mathematics -- 3 cr
This
course will discuss the actuarial profession and the insurance
industry, provide direction to students wishing to take the
first few actuarial examinations, thoroughly cover the theory
of interest, and introduce the basic concepts of actuarial
mathematics.
Prereq: MATH 441.
MATH 652 Introduction to Abstract Algebra -- 3 cr
An introductory survey of abstract algebra and number
theory with emphasis on the development and study of the
number system of integers, integers mod n, rationals, reals,
and complex numbers. These offer examples of and
motivation for the study of the classical algebraic structures
of groups, rings integral domains and fields.
Application to algebraic coding theory and crystalloprpahy
will be developed as time allows.
Prereq: MATH 280 or consent of instructor.
MATH 653 Abstract Algebra -- 3 cr
This course is a continuation of MATH 452/652 with emphasis on ring and field theory. Topics include a review of group theory, polynomial rings, divisibility in integral domains, vector spaces, extension fields, algebraic extension fields, finite fields, etc.
Prereq: MATH 355 and MATH 452.
MATH 658 Applied Mathematical Analysis -- 3 cr
Selected topics in ordinary differential equations: series solutions, stability, transform methods, special functions, numerical methods, vector differential calculus, line and surface integrals.
Prereq: MATH 361.
MATH 659 Partial Differential Equations -- 3 cr
Fourier analysis, partial differential equations and
boundary value problems, complex variables, and its potential
theory.
Prereq: MATH 361.
MATH 664 Advanced Calculus I -- 3 cr
This
course presents a rigorous treatment of the differential and
integral calculus of single variable functions, convergence
theory of numerical sequences and series, uniform convergence
theory of sequences and series of functions, metric spaces,
function of several real variables, and the inverse function
theorem. This course contains a written component.
Prereq: MATH 301.
MATH 671 Numerical Analysis I -- 3 cr
Emphasis on numerical algebra. The problems of linear
systems, matrix inversion, the complete and special eigenvalue
problems, solutions by exact and iterative methods,
orthogonalization, gradient methods. Consideration of
stability and elementary error analysis. Extensive use of
microcomputers and programs using a high level language such
as PASCAL.
Prereq: MATH 171 and MATH 355 or consent of instructor.
MATH 690 Workshop -- 1-3 cr
Variable topics. Group activity oriented presentations emphasizing `hands on` and participatory instructional techniques. Repeatable.
Prereq: consent of instructor.
MATH 694 Seminar -- 2 cr
Variable topics. Group activity. An advanced course of study in a defined subject matter area emphasizing a small group in intense study with a faculty member.
Prereq: consent of instructor.
MATH 696 Special Studies -- 1-3 cr
Variable topics. Group activity. Not offered regularly in the curriculum but offered on topics selected on the basis of timeliness, need, and interest, and generally in the format of regularly scheduled Catalog offerings.
MATH 790 Workshop -- 1-6 cr
Variable topics. Group activity oriented presentations emphasizing `hands on` and participatory instructional techniques.
MATH 794 Seminar -- 1-3 cr
Variable topics. Group activity. An advanced course of study in a defined subject matter area emphasizing a small group in intense study with a faculty member.
MATH 796 Special Studies -- 1-3 cr
Variable topics. Group activity. Not offered regularly in the curriculum but offered on topics selected on the basis of timeliness, need, and interest, and generally in the format of regularly scheduled Catalog offerings.
MATH 798 Individual Studies -- 1-3 cr
Study of a selected topic or topics under the direction of a faculty member.
MATH 799 Thesis Research -- 1-6 cr
Students must
complete a Thesis Proposal Form in the Graduate Studies Office
before registering for this course.