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**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 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 MA463 Introduction to Applied Mathematics, 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 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.*