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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