Copyright & Disclaimer Information - Illinois Institute of Technology

coordinates. Equations of planes,
lines and quadratic surfaces.
Applications. (3-0-3) (C)
MATH 120*, 121*
Business Mathematics I, II
An introduction to the mathematics
used in the study of finance, financial
markets, and economics. (3-0-3);
(3-0-3)
MATH 122*
Introduction to Calculus
Basic concepts of calculus of a single
variable; limits, derivatives and
integrals. Applications. (3-0-3)
MATH 148*
Calculus/Precalculus I
Review of algebra and analytic geometry.
Functions, limits and derivatives.
Trigonometry, trigonometric
functions and their derivatives.
Chain rule, implicit and inverse functions,
and inverse trigonometric functions.
(4-0-4)
MATH 149
Calculus/Precalculus II
Applications of derivatives: related
rates, maxima and minima, monotonicity,
concavity, graphing, and optimization.
Antiderivatives, first-order
differential equations. Definite integral
and applications. Implicit and
inverse functions, and inverse
trigonometric functions. Prerequisite:
MATH 148. (4-1-5) (C)
MATH 151
Calculus I
Analytic geometry. Functions and
their graphs. Limits and continuity.
Derivatives of algebraic, trigonometric
and inverse trigonometric functions.
Applications of the derivative.
Introduction to integrals and their
applications. Prerequisite:
Placement. (4-1-5) (C)
MATH 152
Calculus II
Transcendental functions and their calculus.
Integration techniques.
Applications of the integral.
Indeterminate forms and improper
integrals. Polar coordinates.
Numerical series and power series
expansions. Prerequisite: Grade of “C”
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.
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.
or better in MATH 151 or MATH 149;
or Advanced Placement. (4-1-5) (C)
MATH 230
Introduction to Discrete Mathematics
Sets, statements and elementary
symbolic logic; relations and digraphs;
functions and sequences; mathematical
induction; basic counting techniques
and recurrence. Credit will
not be granted for both CS 330 and
MATH 230. (3-0-3) (C)
MATH 251
Multivariate and Vector Calculus
Analytic geometry in three-dimensional
space. Partial derivatives.
Multiple integrals. Vector analysis.
Applications. Prerequisite: MATH
152. (4-0-4)
MATH 252
Introduction to Differential Equations
Linear differential equations of order
one. Linear differential equations of
higher order. Series solutions of linear
DE. Laplace transforms and
their use in solving linear DE.
Introduction to matrices. Systems of
linear differential equations.
Prerequisite: MATH 152. (4-0-4)
MATH 300
Perspectives in Analysis
The course is focused on selected topics
related to fundamental concepts
and methods of classic analysis and
their applications with emphasis on
various problem-solving strategies,
visualization, mathematical modeling,
and interrelation of different
areas of mathematics. Prerequisites:
MATH 251 and MATH 252 or consent
of the instructor. (3-0-3)
MATH 332
Matrices
Matrix algebra, rank, inverses; systems
of linear equations, determinants;
eigenvalues and eigenvectors.
Corequisite: MATH 251. (3-0-3)
MATH 333
Matrix Algebra and Complex Variables
Vectors and matrices; matrix operations,
transpose, rank, inverse; determinants;
solution of linear systems;
eigenvalues and eigenvectors. The
complex plane; analytic functions;
IIT Undergraduate Bulletin 2006–2008
Course Descriptions
contour integrals; Laurent series
expansions; singularities and
residues. Prerequisite: MATH 251.
(3-0-3)
MATH 350
Introduction to Computational Mathematics
Study and design of mathematical
models for the numerical solution of
scientific problems. This includes
numerical methods for the solution of
linear and nonlinear systems, basic
data fitting problems, and ordinary
differential equations. Robustness,
accuracy, and speed of convergence of
algorithms will be investigated
including the basics of computer
arithmetic and round-off errors.
Prerequisite: MATH 251, MATH 252,
and (CS 105 or CS 115). Same as
MMAE 350. (3-0-3)
MATH 400
Real Analysis
Real numbers, continuous functions;
differentiation and Riemann integration.
Functions defined by series.
Prerequisite: MATH 251 or consent of
instructor. (3-0-3)
MATH 401
Analysis II
Functions of several variables, partial
differentiation, and multiple integrals.
Prerequisite: MATH 400. (3-0-3)
MATH 402
Complex Analysis
Analytic functions, conformal mapping,
contour integration, series
expansions, singularities and
residues, and applications. Intended
as a first course in the subject for
students in the physical sciences and
engineering. Prerequisite: MATH
251. (3-0-3)
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 332, or
MATH 333, or consent of the instructor.
(3-0-3) (C)
193