Yang Kuang - Pre-Calculus Workbook For Dummies

Pre-Calculus Workbook For Dummies, 2nd Edition

by Dr. Yang Kuang and Michelle Rose Gilman, with Elleyne Kase

Pre-Calculus Workbook For Dummies, 2nd Edition

Published by
Wiley Publishing, Inc.
111 River St.
Hoboken, NJ 07030-5774
www.wiley.com

Copyright 2011 by Wiley Publishing, Inc., Indianapolis, Indiana

Published simultaneously in Canada

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400, fax 978-646-8600. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.

Trademarks: Wiley, the Wiley Publishing logo, For Dummies, the Dummies Man logo, A Reference for the Rest of Us!, The Dummies Way, Dummies Daily, The Fun and Easy Way, Dummies.com, Making Everything Easier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates in the United States and other countries, and may not be used without written permission. All other trademarks are the property of their respective owners. Wiley Publishing, Inc., is not associated with any product or vendor mentioned in this book.

Limit of Liability/Disclaimer of Warranty: The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation warranties of fitness for a particular purpose. No warranty may be created or extended by sales or promotional materials. The advice and strategies contained herein may not be suitable for every situation. This work is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. If professional assistance is required, the services of a competent professional person should be sought. Neither the publisher nor the author shall be liable for damages arising herefrom. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read.

For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.

For technical support, please visit www.wiley.com/techsupport.

Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books.

Library of Congress Control Number: 2011921773

ISBN: 978-0-470-92322-1

Manufactured in the United States of America

10 9 8 7 6 5 4 3 2 1

About the Authors

Dr. Yang Kuang is a proud father of three: Youny, Foris, and Belany. He has been a professor of mathematics at Arizona State University (ASU) since 1988. He entered the University of Science and Technology of China in 1980, went to the University of Oxford in 1984 for a Masters degree and completed a PhD in mathematics at University of Alberta (Canada) in 1988, becoming a mathematics professor at ASU in the same year. Yang Kuang has published over 120 refereed publications and authored or edited many books. He has directed a dozen PhD dissertations and many funded research projects in mathematical biology and medicine. He founded and continues to edit the journal Mathematical Biosciences and Engineering. He has given mathematical research talks all over the world and has organized many international mathematical biology and medicine meetings. He is well-known for his pioneer work in the application of delay differential equations in models of biology and medicine and his ongoing work in establishing a solid foundation and framework for building accurate, dynamic, rich population models that explicitly include resource quality dynamics.

His more recent interest is to formulate scientifically well-grounded and computationally tractable mathematical models to describe the rich and intriguing dynamics of various within-host diseases and their treatments, including various types of cancer, diabetic diseases, and virus-induced diseases such as influenza and hepatitis B virus (HBV) infection. He hopes that these models will help speed up the much-needed development of personalized medicine.

Yang Kuang teaches and uses calculus all the time. He is keenly aware of the many challenges facing students and instructors. He hopes this book will be helpful to many of those who want to confront those challenges.

Elleyne Kase is a multidisciplined artist and graphics professional whose creative expertise has been applied commercially in many different avenues, such as fine art designs for the commercial interior design industry, Wayfinding programs for large hospital systems, 3D displays, Web site design, and national brand identity. A bachelors degree in graphic design from San Jose State University began her professional career in the San Francisco Bay Area, which continued in San Diego design agencies as her family grew.

Book design, a favorite of hers, began early on in her career and has now been applied to two of her own exam prep publications, Visual Quick Notes for Life Insurance and Visual Quick Notes for Life and Health. Both use her new mind mapping system, an evolution of her study on how the mind absorbs data, to explain simple terms and concepts in an organized visual matrix of graphic elements and text that improves memory retention.

Michelle Rose Gilman is the founder and CEO of Fusion Learning Center and Fusion Academy, a private school and tutoring/test prep facility in Solana Beach, California. She is the author of Pre-Calculus For Dummies, The ACT For Dummies, and other books on self-esteem, writing, and motivational topics.

Authors Acknowledgments

From Yang:

I would like to thank Elleyne Kase for inviting me to take part in this unusual book project and all the people involved in the process. It was a joy working with all of you. I would also like to thank Professor Jamie Whittimore McGill and Dr. Scott Parsell for providing a detailed technical review of this edition.

And last, but not least, I am forever grateful to my wife, Aijun, for her beautiful creation of and the great attention she devotes to the family, so that I can have time to do my work, including carrying out this project.

From Elleyne:

Throughout my varied career I have had the great pleasure of working with professionals of many disciplines. The For Dummies series combines the skills of many very talented people. I want to express my gratitude to Bill Gladstone who gave me this rare opportunity to participate; to the editors at Wiley Lindsay Lefevere, Tracy Boggier, Elizabeth Rea, and Christy Pingleton for their professionalism, understanding, and skill in bringing such a complex product to market; and to Yang Kuang who juggled his demanding teaching schedule to accommodate this project.