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

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

by Stan Gibilisco
Calculus Know-It-ALL: Beginner to Advanced, and Everything in Between
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Calculus Know-It-ALL: Beginner to Advanced, and Everything in Between

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

by Stan Gibilisco

Overview

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 mind

Stan'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!

Product Details

ISBN-13: 9780071549325
Publisher: McGraw Hill LLC
Publication date: 11/14/2008
Sold by: Barnes & Noble
Format: eBook
Pages: 806
File size: 17 MB
Note: This product may take a few minutes to download.

About the Author

Stan Gibilisco is a professional technical writer who specializes in books on electronics and science topics. He is the author of The Encyclopedia of Electronics, The McGraw-Hill Encyclopedia of Personal Computing, and The Illustrated Dictionary of Electronics, as well as over 20 other technical books. His published works have won numerous awards. The Encyclopedia of Electronics was chosen a "Best Reference Book of the 1980s" by the American Library Association, which also named his McGraw-Hill Encyclopedia of Personal Computing a "Best Reference of 1996."

Table of Contents

Part I: Differentiation in One Variable Chapter 1. Single-Variable Functions Chapter 2. Limits and Continuity Chapter 3. What's a Derivative? Chapter 4. Derivatives Don't Always Exist Chapter 5. Differentiating Polynomial Functions Chapter 6. More Rules for Differentiation Chapter 7. A Few More Derivatives Chapter 8. Higher Derivatives Chapter 9. Analyzing Groups with Derivatives Chapter 10. Review Questions and Answers Part II: Integration in One Variable Chapter 11. What's an Integral? Chapter 12. Derivatives in Reverse Chapter 13. Three Rules for Integration Chapter 14. Improper Integrals Chapter 15. Integrating Polynomial Functions Chapter 16. Areas between Graphs Chapter 17. A Few More Integrals Chapter 18. How Long Is the Arc? Chapter 19. Special Integration Tricks Chapter 20. Review Questions and Answers Part III: Advanced Topics Chapter 21. Differentiating Inverse Functions Chapter 22. Implicit Differentiation Chapter 23. The L'Hopital Principles Chapter 24. Partial Derivatives Chapter 25. Second Partial Derivatives Chapter 26. Surface-Area and Volume Integrals Chapter 27. Repeated, Double, and Iterated Integrals Chapter 28. More Volume Integrals Chapter 29. What's a Differential Equation? Chapter 30. Review Questions and Answers Final Exam Appendix A: Worked-Out Solutions to Exercises: Chapter 1 - 9 Appendix B: Worked-Out Solutions to Exercises: Chapters 11 - 19 Appendix C: Worked-Out Solutions to Exercises: Chapters 21 - 29 Appendix D: Answers to Final Exam Questions Appendix E: Special Characters in Order of Appearance Appendix F: Table of Derivatives Appendix G: Table of Integrals Suggested Additional Reading Index

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