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Illinois Institute of Technology
coordinates. Equations of planes, lines
and quadratic surfaces. Applications.
(3-0-3)
MATH 122*
Introduction to Mathematics II
Basic concepts of calculus of a single
variable; limits, derivatives and
integrals. Applications. (3-0-3)
MATH 123*
Applied Mathematics
Basic concepts of calculus of single
variable: limits, derivatives, integrals.
Applications. Systems of linear equations
and matrices. Linear programming.
(4-0-4)
MATH 146*
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 146
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.
(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”
or better in MATH 151 or MATH 149;
or Advanced Placement. (4-1-5) (C)
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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 161
Honors Calculus I
Functions, limits and continuity
Derivatives of algebraic, trigonometric
and inverse trigonometric functions.
Implicit functions. Applications of the
derivative: rates, graphing and optimization.
Introduction to integration.
Applications of the integral: area, volume
and work Prerequisite: Placement.
(4-1-5) (C)
MATH 162
Honors Calculus II
Calculus of logarithmic exponential
and hyperbolic functions. Integration
techniques. Indeterminate forms and
improper integrals. Parametric equations.
Polar coordinates. Numerical series.
Power series expansions. Prerequisite:
Grade of “C” or better in MATH 161;
advanced placement for MATH 151; or
consent of the department. (4-1-5) (C)
MATH 221*
Basic Probability and Statistics
Introduction to probability and statistics
for students in the natural and social
sciences or humanities. No calculus
background required. Same as MSC
221. (3-0-3)
MATH 251
Multivariate and Vector Calculus
Analytic geometry in three-dimensional
space. Partial derivatives. Multiple integrals.
Vector analysis. Applications. Prerequisite:
MATH 152 or MATH 162. (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. Prerequisites: MATH 152
or MATH 162. (4-0-4)
MATH 300
Calculus Investigations
Short projects chosen from a variety
of mathematical areas and applications
including analytic geometry, fractals,
probability, mechanics, number theory
and topology. Each project explores
some part of calculus with emphasis
Course Descriptions
on its utility and its extensions.
Corequisite: MATH 152 or MATH
162; permission of instructor. (3-2-3)
MATH 331
Mathematical Methods
Matrices: matrix operations, transpose,
rank, inverse. Determinants. Solutions
of linear equations. Eigenvalues and
eigenvectors. Fourier series; half-range
series. Applications of solution to
potential, wave and heat equations.
Prerequisites: MATH 251 and
MATH 252. Credit not granted for both
MATH 331 and MATH 333. (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; contour integrals;
Laurent series expansions; singularities
and residues. Prerequisite: MATH 251.
Credit not granted for both MATH 331
and MATH 333. (3-0-3)
MATH 400
Analysis I
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)
IIT Undergraduate Bulletin 1999-2001 147