Calculus Know-It-ALL Beginner to Advanced, and Everything in Between

by Gibilisco, Stan

• ISBN13: 9780071549318
• ISBN10: 0071549315
• Edition: 1st
• Format: Paperback
• Copyright: 2008-11-18
• Publisher: McGraw Hill TAB

Summary

Master calculus from the comfort of home!Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace.Train your brain with ease! Calculus Know-It-ALL features: Checkpoints to help you track your knowledge and skill level Problem/solution pairs and chapter-ending quizzes to reinforce learning Fully explained answers to all practice exercises A multiple-choice exam to prepare you for standardized tests "Extra Credit" and "Challenge" problems to stretch your mindStan's expert guidance gives you the know-how to: Understand mappings, relations, and functions Calculate limits and determine continuity Differentiate and integrate functions Analyze graphs using first and second derivatives Define and evaluate inverse functions Use specialized integration techniques Determine arc lengths, surface areas, and solid volumes Work with multivariable functions Take college entrance examinations with confidence And much more!

Author Biography

Stan Gibilisco has written over 30 books,.including Teach Yourself Electricity and Electronics, 4e (0-07-.145933-2) and Mastering Technical Math, 2/E (0-07-024828-1).

Table of Contents

Differentiation in One Variable

Single-Variable Functions

Limits and Continuity

What's a Derivative?

Derivatives Don't Always Exist

Differentiating Polynomial Functions

More Rules for Differentiation

A Few More Derivatives

Higher Derivatives

Analyzing Groups with Derivatives

Review Questions and Answers

Integration in One Variable

What's an Integral?

Derivatives in Reverse

Three Rules for Integration

Improper Integrals

Integrating Polynomial Functions

Areas between Graphs

A Few More Integrals

How Long Is the Arc?

Special Integration Tricks

Review Questions and Answers

Advanced Topics

Differentiating Inverse Functions

Implicit Differentiation

The L'Hopital Principles

Partial Derivatives

Second Partial Derivatives

Surface-Area and Volume Integrals

Repeated, Double, and Iterated Integrals

More Volume Integrals

What's a Differential Equation?

Review Questions and Answers Final Exam

Worked-Out Solutions to Exercises: Chapter 1 - 9

Worked-Out Solutions to Exercises: Chapters 11 - 19

Worked-Out Solutions to Exercises: Chapters 21 - 29

Answers to Final Exam Questions

Special Characters in Order of Appearance

Table of Derivatives

Table of Integrals Suggested Additional Reading

Index

Table of Contents provided by Publisher. All Rights Reserved.