Schaum's Outline of Beginning Calculus, Third Edition

Overview

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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!

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Table of contents

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