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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