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© 2001 by CRC Press LLC


Jamal T. Manassah
City College of New York

CRC Press Boca Raton London New York Washington, D.C.

Library of Congress Cataloging-in-Publication DataManassah, 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′.24′62—dc21 2001016138

This book contains information obtained fromauthentic 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 bereproduced 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 beobtained 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.

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© 2001 by CRC Press LLC Noclaim 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

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 theAmerican University of Beirut, and his M.A. and Ph.D. in Theoretical Physics from Columbia University. Dr. Manassah was a Member of the Institute for Advanced Study. His current research interests are in theoretical and computational quantum and nonlinear optics, and in photonics.

© 2001 by CRC Press LLC

This book is mostly based on a series of notes for a primer course inelectrical 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 learning community setting, a computer laboratory, where each student had the exclusive use of a PC. Thesmall 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 secondcourse 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 engineering 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...
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