Calculus Know-it-All: Beginner to Advanced, and Everything in Between / Edition 1

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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!
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Product Details

  • ISBN-13: 9780071549318
  • Publisher: McGraw-Hill Professional Publishing
  • Publication date: 10/28/2008
  • Edition description: Original
  • Edition number: 1
  • Pages: 806
  • Sales rank: 679,873
  • Product dimensions: 7.30 (w) x 9.00 (h) x 1.70 (d)

Meet the Author

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).

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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

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Sort by: Showing all of 7 Customer Reviews
  • Posted June 10, 2009

    Unique Introduction to the Calculus

    When I first saw this book, I was visiting a library looking for specific volumes in vector analysis. I happened to see the spine of this book on the shelf, and could not resist pulling it out and giving it a fairly thorough examination. I was intrigued in particular by the layout, which is unlike any I have found in other textbooks of a similar sort. On the surface this work appears quite formal, with equations and formulae set out and centered. The publishers appear not to have been terribly concerned with saving space, but instead devoted to making the presentation appear easy to read. Having seen plenty of books with "busy" pages and tiny illustrations, I was most appreciative of this effort.

    Browsing through the contents, I saw that the subject matter is presented in a logical and orderly fashion, beginning with the differential calculus and proceeding through the integral calculus of a single variable. Some treatment of the multivariable case is given in the last section. Each chapter has a short quiz at the end (very short, I hasten to add) but the answers are worked out in detail in three long appendices, one for each major section. The multiple-choice examination at the book's conclusion is remarkably well done although perhaps a bit shallow. I should also mention this the subject matter extends only through the level of a first-year calculus course, and perhaps a bit beyond. This does not mean the book falls short of its intended goal, but the advanced student should be aware of the fact that he or she will require something more.

    I noted a typo or two as I worked through the text, but no conceptual or major factual miscues. I should note that having edited many manuscripts and worked with diverse compositors over the course of more than four decades, typographical errors are inevitable in any printed work of this length and complexity. Out of curiosity, I did a google search on the author's unusual name, and was rewarded with a Web site in which Dr. Gibilisco actually advertises the errors in several of his books, including this one. Readily-available errata files: Here is an example of how the Internet can be used in conjunction with printed works to do the reader a small but significant good turn! Rare indeed is the author who publicly admits to typos in his works, knowing full well that he will take the blame whether the flaws are his fault or not, but placing the welfare of the reader above his ego.

    3 out of 3 people found this review helpful.

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  • Posted November 25, 2008

    A solid supplement for first- and second-year calculus

    I bought this book for my bright high-school daughter based on my positive experience with Algebra Know-It-All, by the same author. Both books use a teaching style that I haven't seen before. There's repetitiveness and an old-school tone, that I (as a former math tutor) actually find refreshing. No stupid jokes, no false ideas about learning without good study habits.<BR/><BR/>Obviously, no single book can cover all of calculus from the alpha to the omega, but this one is the best I've seen for supplemental use at the high-school senior (honors) level. My daughter likes math. (Not as strange for a girl as you might think!) She hasn't said much about the book yet, but she's spending a lot of time reading it, and that's a good sign. This book is not a quick fix. It goes slowly and covers the material in depth.

    2 out of 2 people found this review helpful.

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  • Anonymous

    Posted April 29, 2012


    Is it outboard motors or calculus??????

    1 out of 2 people found this review helpful.

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  • Posted May 17, 2009

    Know, but makes mistakes!

    This is a large tome (792 pages) that would require a thorough editing job *before* publication. Sadly, this was not done.

    After only two pages of text (on Page 5), I ran across my first error; an "independent variable" mapping to an "independent variable".

    Coming so early in the text as it does, does not bode well for the accuracy of the remainder of this huge volume. It also creates a significant understanding roadblock for one new to the subject.

    Gibilisco may well "Know It All", but he has real issues in conveying his knowledge. And, what good is knowledge if you can't convey it accurately?

    No excuse for the many errors documented in this book.

    Was this review helpful? Yes  No   Report this review
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    Posted October 21, 2009

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    Posted June 25, 2011

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    Posted December 31, 2009

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