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ELEMENTARY
MATHEMATICAL and
COMPUTATIONAL TOOLS
for ELECTRICAL and
COMPUTER ENGINEERS
USING M ATLAB ®
© 2001 by CRC Press LLC
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ELEMENTARY
MATHEMATICAL and
COMPUTATIONAL TOOLS
for ELECTRICAL and
COMPUTER ENGINEERS
USING M ATLAB ®
Jamal T. Manassah
City College of New York
CRC Press
Boca Raton London New York Washington, D.C.
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Library of Congress Cataloging-in-Publication Data
Manassah, Jamal T.
Elementary mathematical and computational tools for electrical and computer engineers
using MATLAB/Jamal T. Manassah.
p. cm.
Includes bibliographical references and index.
ISBN 0-8493-1080-6
1. Electrical engineering—Mathematics. 2. Computer science—Mathematics. 3.
MATLAB. I. Title.
TK153 .M362 2001
510
62—dc21
2001016138
This book contains information obtained from authentic and highly regarded sources. Reprinted material
is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable
efforts have been made to publish reliable data and information, but the author and the publisher cannot
assume responsibility for the validity of all materials or for the consequences of their use.
Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic
or mechanical, including photocopying, microfilming, and recording, or by any information storage or
retrieval system, without prior permission in writing from the publisher.
The consent of CRC Press LLC does not extend to copying for general distribution, for promotion, for
creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC
for such copying.
Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431.
Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are
used only for identification and explanation, without intent to infringe.
Visit the CRC Press Web site at www.crcpress.com
© 2001 by CRC Press LLC
No claim to original U.S. Government works
International Standard Book Number 0-8493-1080-6
Library of Congress Card Number 2001016138
Printed in the United States of America 1 2 3 4 5 6 7 8 9 0
Printed on acid-free paper
.24
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About the Author
Jamal T. Manassah, has been Professor of Electrical Engineering at the City
College of New York since 1981. He received his B.Sc. degree in Physics from
the American University of Beirut, and his M.A. and Ph.D. in Theoretical
Physics from Columbia University. Dr. Manassah was a Member of the Insti-
tute for Advanced Study. His current research interests are in theoretical and
computational quantum and nonlinear optics, and in photonics.
© 2001 by CRC Press LLC
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Introductio n
This book is mostly based on a series of notes for a primer course in electrical
and computer engineering that I taught at the City College of New York
School of Engineering. Each week, the class met for an hour of lecture and a
three-hour computer laboratory session where students were divided into
small groups of 12 to 15 students each. The students met in an informal learn-
ing community setting, a computer laboratory, where each student had the
exclusive use of a PC. The small size of the groups permitted a great deal of
individualized instruction, which was a key ingredient to cater successfully
to the needs of students with heterogeneous high school backgrounds.
A student usually takes this course in the second semester of his or her
freshman year. Typically, the student would have completed one semester of
college calculus, and would be enrolled in the second course of the college
calculus sequence and in the first course of the physics sequence for students
in the physical sciences and engineering.
My purpose in developing this book is to help bring the beginner engineer-
ing student’s analytical and computational skills to a level of competency
that would permit him or her to participate, enjoy, and succeed in subsequent
electrical and computer engineering courses. My experience indicates that
the lack of mastery of fundamental quantitative tools is the main impediment
to a student’s progress in engineering studies.
The specific goals of this book are
1. To make you more comfortable applying the mathematics and
physics that you learned in high school or in college courses,
through interactive activities.
2. To introduce you, through examples, to many new practical tools
of mathematics, including discrete variables material that are
essential to your success in future electrical engineering courses.
3. To instruct you in the use of a powerful computer program,
MATLAB ® *, which was designed to be simultaneously user-
friendly and powerful in tackling efficiently the most demanding
problems of engineering and sciences.
4. To give you, through the applications and examples covered,
glimpses of some of the fascinating problems that an electrical or
* MATLAB ® is a registered trademark of the MathWorks, Inc., 3 Apple Hill Drive, Natick, MA,
01760-2098, USA. Tel: 508-647-7000, Fax: 508-647-7101, e-mail: info@mathworks.com, Web:
www.mathworks.com .
© 2001 by CRC Press LLC
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