groups, homomorphisms, factor groups, isomorphisms

and free groups.

The optional second semester of a unified course, this class

will cover rings, factor rings, fields, ideals, factorization,

extension fields, automorphisms and elementary Galois

Theory. This course is recommended for those students

who are interested in pursuing graduate studies in

mathematics.

This course is a broad and systematic introduction to

Applied Mathematics, providing a general framework for

equilibrium problems encountered in applied mathematics

and engineering. It covers some fundamental topics in

applied linear algebra, ordinary and partial differential

equations, Fourier analysis and optimization (both

continuous and discrete). The Matlab scientific computing

environment and language will be used to illustrate the

concepts and techniques introduced and to solve problems

having no analytical solutions.

Building on the course Introduction to Applied

Mathematics (MA463), this class provides techniques for

solving various applied mathematical problems. The first

part of the class will present efficient numerical analysis

methods for solving algebraic equations, as well as initial-

value and boundary-value problems in ordinary and partial

differential equations. The second part of the class will

be mainly devoted to the study of solving of real life

problems encountered in various scientific disciplines and

in technology.

This course will consist of selected topics to be chosen

by the professor. Since the content of this course changes

each year it may be repeated once for credit.

Individual study under the guidance of a faculty member.

May by repeated once for credit.

and estimation techniques: consistency, unbiasedness,

maximum likelihood, confidence intervals, hypothesis-

testing; type I and II errors, likelihood ratio tests, test for

means and variances; regression and correlation, Chi-

square tests, decision theory, nonparametric statistics.

This class assumes some prior knowledge of probability

theory.

This course is an introduction to complex analysis. Topics

to be covered may include complex numbers, analytic

functions, elementary functions, integrals, Laurent series,

residues, poles and applications of residues.

A lecture/discussion course reviewing recent articles

appearing in mathematical journals accessible to

undergraduate mathematics majors. May be repeated once

for credit. This course is a capstone integrative course.

A comprehensive review of the undergraduate

mathematics curriculum for the purpose of preparing

students for standardized examinations, such as the CSET

(for prospective teachers), the GRE (for prospective

graduate students), actuarial examinations (for prospective

actuaries), and the senior subject examination in

mathematics. This course is a capstone integrative course.

This course covers the application of mathematical tools to

enlighten and solve selected problems in the “real world.”

Areas may include economics, finance, life sciences,

computer science and physics.

The first semester of a unified course, this class

covers topology in real space, the axioms of the real

numbers, sequences, limits, continuity, convergence, and

differentiation.

The optional second semester of a unified course, this

class covers the Riemann integral, the inverse and implicit

function theorems, integration and other advanced topics

of calculus. This course is recommended for those

students who are interested in pursuing graduate studies

in mathematics.

The first semester of a unified course, this class covers

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