Mark Ryan - Calculus Workbook For Dummies

Calculus Workbook For Dummies, 2nd Edition

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Copyright 2015 by John Wiley & Sons, Inc., Hoboken, New Jersey

Published simultaneously in Canada

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Library of Congress Control Number: 2014958561

ISBN 978-1-119-01392-1 (pbk); ISBN 978-1-119-04348-5 (ebk); ISBN 978-1-119-04345-4

1. Table of Contents

If youve already bought this book or are thinking about buying it, its probably too late too late, that is, to change your mind and get the heck out of calculus. (If youve still got a chance to break free, get out and run for the hills!) Okay, so youre stuck with calculus; youre past the point of no return. Is there any hope? Of course! For starters, buy this gem of a book and my other classic, Calculus For Dummies, 2nd Edition (also published by Wiley). In both books, you find calculus explained in plain English with a minimum of technical jargon. Calculus For Dummies, 2nd Edition, covers topics in greater depth. Calculus Workbook For Dummies, 2nd Edition, gives you the opportunity to master the calculus topics you study in class or in Calculus For Dummies, 2nd Edition, through a couple hundred practice problems that will leave you giddy with the joy of learning or pulling your hair out.

In all seriousness, calculus is not nearly as difficult as youd guess from its reputation. Its a logical extension of algebra and geometry, and many calculus topics can be easily understood when you see the algebra and geometry that underlie them.

It should go without saying that regardless of how well you think you understand calculus, you wont fully understand it until you get your hands dirty by actually doing problems. On that score, youve come to the right place.

Calculus Workbook For Dummies, 2nd Edition, like Calculus For Dummies, 2nd Edition, is intended for three groups of readers: high school seniors or college students in their first calculus course, students whove taken calculus but who need a refresher to get ready for other pursuits, and adults of all ages who want to practice the concepts they learned in Calculus For Dummies, 2nd Edition, or elsewhere.

Whenever possible, I bring calculus down to earth by showing its connections to basic algebra and geometry. Many calculus problems look harder than they actually are because they contain so many fancy, foreign-looking symbols. When you see that the problems arent that different from related algebra and geometry problems, they become far less intimidating.

I supplement the problem explanations with tips, shortcuts, and mnemonic devices. Often, a simple tip or memory trick can make it much easier to learn and retain a new, difficult concept.

This book uses certain conventions:

• Variables are in italics.
• Important math terms are often in italics and defined when necessary.
• Extra-hard problems are marked with an asterisk. You may want to skip these if youre prone to cerebral hemorrhaging.

Like all For Dummies books, you can use this book as a reference. You dont need to read it cover to cover or work through all problems in order. You may need more practice in some areas than others, so you may choose to do only half of the practice problems in some sections or none at all.

However, as youd expect, the order of the topics in Calculus Workbook For Dummies, 2nd Edition, follows the order of the traditional curriculum of a first-year calculus course. You can, therefore, go through the book in order, using it to supplement your coursework. If I do say so myself, I expect youll find that many of the explanations, methods, strategies, and tips in this book will make problems you found difficult or confusing in class seem much easier.

Now that you know a bit about how I see calculus, heres what Im assuming about you:

• You havent forgotten all the algebra, geometry, and trigonometry you learned in high school. If you have, calculus will be really tough. Just about every single calculus problem involves algebra, a great many use trig, and quite a few use geometry. If youre really rusty, go back to these basics and do some brushing up. This book contains some practice problems to give you a little pre-calc refresher, and