Synopses & Reviews
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 levelProblem/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 functionsCalculate limits and determine continuityDifferentiate and integrate functionsAnalyze graphs using first and second derivativesDefine and evaluate inverse functionsUse specialized integration techniquesDetermine arc lengths, surface areas, and solid volumesWork with multivariable functionsTake college entrance examinations with confidence And much more
Synopsis
A complete, self-taught course in analysisand mathematics that enables you toimprove your math skillsCalculus Know-It-ALL uses a reader-friendlytone and slow-paced presentation to teach all aspectsof calculus. Featuring the proven pedagogy that hasmade Stan Gibiliscos McGraw-Hill titles so successful,the book presents easy-to-understand concepts, extensivelyexplained exercises, multiple-choice questionsandanswers, and abundant self-test questions.
Filled with over 250 illustrations, this great educationalresource takes you step-by-step through theconcept of a set and its relevance to mathematics, setnotation and operations, the difference between arational number and a real number, imaginary andcomplex numbers, and proving theorems by mathematicalinduction. You will also learn how to add,subtract, and multiply complex numbers, add finite andinfinite series, master techniques of differentiation andintegration, and more.
About 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).
Table of Contents
PART I: DIFFERENTIATION IN ONE VARIABLE1. Review of Limits2. Single-Variable Functions and Continuity3. Derivative at a Point4. Derivative of a Function5. Techniques of Differentiation6. Higher Derivatives7. Graphing with Derivatives8. Implicit Differentiation9. Some Applications for Derivatives10. Review Questions and Answers: Part OnePART II: INTEGRATION IN ONE VARIABLE11. Area Under a Curve12. Accumulated Values13. Antiderivatives14. The Indefinite Integral15. The Definite Integral16. Integration by Parts17. Integration by Partial Fractions18. Substitutions19. Some Applications for Integrals20. Review Questions and Answers: Part TwoPART III: ADVANCED TOPICS21. Multivariable Functions22. Partial Derivatives23. Higher Partial Derivatives24. Double Integrals25. Triple Integrals26. Infinite Series27. Expansion of Functions28. Differential Equations29. Some Advanced Applications30. Review Questions and Answers: Part ThreeFinal ExamApp 1. Worked-Out Solutions to Exercises: Chapters 1-9App 2. Worked-Out Solutions to Exercises: Chapters 11-19App 3. Worked-Out Solutions to Exercises: Chapters 21-29App 4. Answers to Exam QuestionsApp 5. Special Characters in Order of Appearance