2015-2016 Undergraduate General Catalog


300

MATH 310 Differential Equations

Methods of solving first and second order differential equations, applications, systems of equations, series solutions, existence theorems, numerical methods, and partial differential equations.

Credits

3

Prerequisites

MATH 152

MATH 315 Probability and Statistics

Probability as a mathematical system, random variables and their distributions, limit theorems, statistical inference, estimation, decision theory and testing hypotheses.

Credits

3

Prerequisites

MATH 152

MATH 320 Discrete Structures

Topics to be selected from counting techniques, mathematical logic, set theory, data structures, graph theory, trees, directed graphs, algebraic structures, Boolean algebra, lattices, and optimization of discrete processes.

Credits

3

Prerequisites

MATH 151; COSC 210

MATH 330 History of Mathematics

The history of mathematics from ancient to modern times. The mathematicians, their times, their problems, and their tools. Major emphasis on the development of geometry, algebra, and calculus.

Credits

3

Prerequisites

MATH 200

MATH 335 Modern Geometry

A review of Euclidean geometry, an examination of deficiencies in Euclidean geometry, and an introduction to non-Euclidean geometrics. Axiomatic structure and methods of proof are emphasized.

Credits

3

Prerequisites

MATH 200

MATH 340 Abstract Algebra

A survey of the classical algebraic structures taking an axiomatic approach. Deals with the theory of groups and rings and associated structures, including subgroups, factor groups, direct sums of groups or rings, quotient rings, polynomical rings, ideals, and fields.

Credits

3

Prerequisites

MATH 200; MATH 220

MATH 345 Topology

An introduction to topological structures from point-set, differential, algebraic, and combinatorial points of view. Topics include continuity, connectedness, compactness, separation, dimension, homeomorphism, homology, homotopy, and classification of surfaces.

Credits

3

Prerequisites

MATH 200; MATH 220

MATH 350 Real Analysis

This course develops the logical foundations underlying the calculus of real-valued functions of a single real variable. Topics include limits, continuity, uniform continuity, derivatives and integrals, sequences and series of numbers and functions, convergence, and uniform convergence.

Credits

3

Prerequisites

MATH 200; MATH 220

MATH 355 Complex Analysis

A study of the concepts of calculus for functions with domain and range in the complex numbers. The concepts are limits, continuity, derivatives, integrals, sequences, and series. Topics include Cauchy-Riemann equations, analytic functions, contour integrals, Cauchy integral formulas, Taylor and Laurent series, and special functions.

Credits

3

Prerequisites

MATH 200; MATH 220