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Course Descriptions
MATH 405
Introduction to Iteration and Chaos
Functional iteration and orbits, periodic
points and Sharkovsky’s cycle theorem,
chaos and dynamical systems of dimensions
one and two. Julia sets and fractals,
physical implications. Prerequisites:
MATH 251; MATH 252; one of the following:
MATH 331, MATH 332, or
MATH 333, or consent of the instructor.
(3-0-3)
MATH 430
Algebra
Introduction to groups, rings, fields,
vector spaces and polynomials.
Prerequisite: MATH 332. (3-0-3)
MATH 445
Mathematical Logic
Models of languages; propositional,
Aristotelian, and predicate logic; and
formal theories. Prerequisite: CS 330 or
consent of instructor. (3-0-3)
MATH 451
Differential Geometry
Theory of curves, the Frenet formulas;
theory of surfaces, fundamental forms,
and curvature; and further selected topics.
Prerequisite: MATH 252. (3-0-3)
MATH 452
Topology
Fundamentals of point-set topology;
metric and topological spaces; study of
continuous mappings; and further
selected topics. Prerequisite: MATH 400.
(3-0-3)
MATH 461
Fourier Series and
Boundary-Value Problems
Fourier series and integrals. The Laplace,
heat, and wave equations: Solutions by
separation of variables. D’Alembert’s
solution of the wave equation.
Boundary-value problems. Prerequisites:
MATH 251, MATH 252. (3-0-3)
MATH 471
Numerical Methods I
Taylor polynomials, computer representation
of numbers; error; and
numerical linear algebra. Prerequisite:
Familiarity with Fortran. Corequisite:
MATH 331, MATH 332 or MATH
333. Credit will not be given for both
MATH 370 and MATH 471. (3-0-3)
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Copyright & Disclaimer Information: Copyright © 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007. CollegeSource®, Inc. and Career Guidance Foundation. CollegeSource® digital catalogs are derivative works owned and copyrighted by CollegeSource®, Inc. and Career Guidance Foundation. Catalog content is owned and copyrighted by the appropriate school. While CollegeSource®, Inc. and Career Guidance Foundation provides information as a service to the public, copyright is retained on all digital catalogs.
MATH 472
Numerical Methods II
Interpolation, approximation of
functions, numerical integration and
differentiation, and numerical solution
of differential equations. Prerequisites:
MATH 252, MATH 471. (3-0-3)
MATH 474
Probability and Statistics
Elementary probability theory
including discrete and continuous
distributions, sampling, estimation,
confidence intervals, hypothesis testing
and linear regression. Prerequisite:
MATH 251. Credit not granted
for both MATH 474 and MATH 475.
(3-0-3)
MATH 475
Probability
Elementary probability theory; combinatorics;
random variables; discrete
and continuous distributions; joint distributions
and moments; transformations
and convolution; basic theorems; simulation.
Prerequisite: MATH 251. Credit
not granted for both MATH 474
and MATH 475. (3-0-3)
MATH 476
Statistics
Estimation theory; hypothesis tests;
confidence intervals; goodness-of-fit tests;
correlation and linear regression; analysis
of variance; nonparametric methods.
Prerequisite: MATH 475. (3-0-3)
MATH 462
Introduction to Markov Processes
Random walks, discrete time Markov
chains: Poisson processes, continuous
time Markov chains; renewal theory.
Prerequisite: MATH 475. (3-0-3)
MATH 463
Design and Analysis of Experiments
Principles of estimation; hypothesis tests,
confidence intervals. Contingency tables;
goodness-of-fit. Analysis of variance;
linear regression. Hierarchical and splitplot
designs; analysis of covariance.
Multiple regression. Prerequisite:
MATH 221 or MATH 476. (3-0-3)
MATH 466
Mathematical Modeling I
A general introduction to optimization
problems. Linear programming: the
simplex method. Elements of graphs
IIT Undergraduate Bulletin 1999-2001
and networks. Introduction to game
theory. Applications. Prerequisite:
MATH 475 or consent of the instructor.
(3-0-3)
MATH 467
Mathematical Modeling II
The formulation of mathematical
models, solution of mathematical equations,
and interpretation of results.
Selected topics from queueing theory
and financial derivatives. Prerequisite:
MATH 252. (3-0-3)
MATH 469
Ordinary Differential Equations
Boundary-value problems: Green’s
functions, Strum-Liouville theory,
eigenfunction expansions. Linear and
nonlinear systems: existence and
uniqueness, Floquet theory, stability
concepts. Phase-plane analysis: critical
points, limit cycles. Prerequisite:
MATH 252. (3-0-3)
MATH 469
Partial Differential Equations
First-order equations, characteristics.
Classification of second-order equations.
Laplace’s equation: potential theory,
Green’s function, maximum principles.
The wave equation: characteristics,
general solution. The heat equation:
use of integral transforms. Prerequisite:
MATH 46 1. (3-0-3)
MATH 490
History of Mathematics
A history of mathematics from ancient
times to the twentieth century
Prerequisite: MATH 152. Course does
not count for graduation in any ECE
degree program. (3-0-3)
MATH 491
Reading and Research
(Credit: Variable)
Management
MGT 351
Theory of Organization and
Management
Introduction to the theory and practice
of management; includes the basic
managerial functions: planning,
organizing, leading and controlling.
Communication, motivation and decision-making
techniques are stressed.