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MATH 482
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 483
Design and Analysis of Experiments
Principles of estimation; hypothesis
tests, confidence intervals. Contingency
tables; goodness-of-fit. Analysis of variance;
linear regression. Hierarchical and
split-plot designs; analysis of covariance.
Multiple regression. Prerequisite:
MATH 476. (3-0-3)
MATH 485
Introduction to Mathematical Finance
This is an introductory course in
mathematical finance. Technical difficulty
of the subject is kept at a minimum
by considering a discrete time
framework. Nevertheless, the major
ideas and concepts underlying modern
mathematical finance and financial
engineering will be explained
and illustrated. Credit may not be
granted for MATH 485 and MATH
548. Prerequisite: MATH 475 or
equivalent. (3-0-3)
MATH 486
Mathematical Modeling I
A general introduction to optimization
problems. Linear programming: the
simplex method. Elements of graphs
and networks. Introduction to game
theory. Applications. Prerequisite:
MATH 475 or consent of instructor.
(3-0-3) (C)
MATH 487
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) (C)
MATH 488
Ordinary Differential Equations and Dynamical
Systems
Boundary-value problems and
Sturm-Liouville theory; linear system
theory via eigenvalues and
eigenvectors; Floquet theory; nonlinear
systems: critical points, linearization,
stability concepts, index theory,
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.
phase portrait analysis, limit cycles,
and stable and unstable manifolds;
bifurcation; and chaotic dynamics.
Prerequisites: MATH 251, MATH 252.
(3-0-3)
MATH 489
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 461. (3-0-3)
MATH 491
Reading and Research
(Credit: Variable) (C)
Military Science
MILS 101
Foundations of Officership
Issues and competencies that are
central to a commissioned officer’s
responsibilities. Establish framework
for understanding officership, leadership,
and Army values followed and
“life skills” such as physical fitness
and time management. (1-2-1) (C)
MILS 102
Basic Leadership
Establishes foundation of basic leadership
fundamentals such as problem
solving, communications, briefings
and effective writing, goal setting
techniques for improving listening
and speaking skills, and an introduction
to counseling. (1-2-1) (C)
MILS 107
American Military History
Study of American military history
through examination of evolvement of
the Army and warfare. (3-2-3)
MILS 147, 148, 247, 248, 347, 348, 447, 448
Aerobic Conditioning
Participation in aerobic exercise program;
evaluation of the level of cardiovascular
fitness. (0-3-2)
MILS 201
Individual Leadership Studies
Students identify successful leadership
characteristics through observa-
IIT Undergraduate Bulletin 2006–2008
Course Descriptions
tion of others and self and through
experiential learning exercises.
Students record observed traits (good
and bad) in a dimensional leadership
journal and discuss observations in
small group settings. (2-2-2)
MILS 202
Leadership and Teamwork
Study examines how to build successful
teams, various methods for
influencing action, effective communication
in setting and achieving
goals, the importance of timing the
decision, creativity in the problem
solving process, and obtaining team
buy-in through immediate feedback.
(2-2-2)
MILS 301
Leadership and Problem Solving
Students conduct self-assessment of
leadership style, develop personal fitness
regimen, and learn to plan and
conduct individual/ small unit tactical
training while testing reason and
problem-solving techniques. Students
receive direct feedback on leadership
abilities. Prerequisites: Basic course
or equivalent and consent of the
department. (3-2-3) (C)
MILS 302
Leadership and Ethics
Examines the role communications,
values, and ethics play in effective
leadership. Topics include ethical
decision-making, consideration of
others, spirituality in the military,
and survey Army leadership doctrine.
Emphasis on improving oral and
written communication abilities.
Prerequisites: MILS 301 and consent
of the instructor. (3-2-3) (C)
MILS 401
Leadership and Management
Develops student proficiency in planning
and executing complex operations,
functioning as a member of a
staff, and mentoring subordinates.
Students explore training management,
methods of effective staff collaboration,
and developmental counseling
techniques. Prerequisites:
MILS 301, 302 and consent of the
instructor. (3-2-3) (C)
195