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# Schaum's Outline of Beginning Calculus, Third Edition

**by**Mendelson, Elliott

3rd

### 9780071635356

0071635351

Paperback

9/14/2009

McGraw-Hill Education

## Questions About This Book?

What version or edition is this?

This is the 3rd edition with a publication date of 9/14/2009.

What is included with this book?

- The
**New**copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc. - The
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## Summary

Confusing Textbooks? Missed Lectures? Tough Test Questions? ..Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. ..This Schaum's Outline gives you:. . Practice problems with full explanations that reinforce knowledge . Coverage of the most up-to-date developments in your course field . In-depth review of practices and applications ..Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!..Schaum's Outlines-Problem Solved..

## Table of Contents

Schaum's Outline of Beginning Calculus, 3ed

Schaum's Outline of Beginning Calculus, 3ed

1. Coordinate Systems on a Line

2. Coordinate Systems in a Plane

3. Graphs of Equations

4. Straight Lines

5. Intersections of Graphs

6. Symmetry

7. Functions and Their Graphs

8. Limits

9. Special Limits

10. Continuity

11. The Slope of a Tangent Line

12. The Derivative

13. More on the Derivative

14. Maximum and Minimum Problems

15. The Chain Rule

16. Implicit Differentiation

17. The Mean-Value Theorem and the Sign of the Derivative

18. Rectilinear Motion and Instantaneous Velocity

19. Instantaneous Rate of Change

20. Related Rates

21. Approximation by Differentials; Newton’s Method

22. Higher-Order Derivatives

23. Applications of the Second Derivative and Graph Sketching

24. More Maximum and Minimum Problems

25. Angle Measure

26. Sine and Cosine Functions

27. Graphs and Derivatives of Sine and Cosine Functions

28. The Tangent and Other Trigonometric Functions

29. Antiderivatives

30. The Definite Integral

31. The Fundamental Theorem of Calculus

32. Applications of Integration I: Area and Arc Length

33. Applications of Integration II: Volume

34. The Natural Logarithm

35. Exponential Functions

36. L’Hopital’s Rule: Exponential Growth and Decay

37. Inverse Trigonometric Functions

38. Integration by Parts

39. Trigonometric Integrands and Trigonometric Substitutions

40. Integration of Rational Function: The Method of Partial Fractions