Academic Catalog 2014.2015 - page 120

The Master’s College 2014-2015 Catalog
120
UNDERGRADUATE PROGRAMS
groups, homomorphisms, factor groups, isomorphisms
and free groups.
Prerequisite: MA302
MA458 Abstract Algebra II (3)
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.
Prerequisite: MA453
MA463 Introduction to Applied Mathematics (3)
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.
Prerequisites: MA231, MA282
MA464 Methods in Applied Mathematics (3)
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.
Prerequisite: MA463
MA482 Topics in Mathematics (3)
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.
Prerequisite:
Instructor approval.
MA498 Tutorial Studies in Mathematics (1-3)
Individual study under the guidance of a faculty member.
May by repeated once for credit.
Prerequisite: Instructor
approval.
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.
Prerequisite: MA366
MA383 Complex Analysis (3)
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.
Prerequisite:
MA302
MA400 Mathematics Seminar (1)
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.
Prerequisite: MA302
MA412 Integrated Review (1)
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.
Prerequisite: Senior standing in Mathematics
MA425 Mathematical Modeling (3)
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.
Prerequisite: MA282
MA445 Real Analysis I (3)
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.
Prerequisite: MA302
MA448 Real Analysis II (3)
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.
Prerequisite: MA445
MA453 Abstract Algebra I (3)
The first semester of a unified course, this class covers
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