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|a Chapter 1. Inequalities. Chapter 2. Absolute value. Chapter 3. Lines. Chapter 4. Circles. Chapter 5. Functions and their graphs. Chapter 6. Limits. Chapter 7. Continuity. Chapter 8. The derivative. Chapter 9. The chain rule. Chapter 10. Trigonometric functions and their derivatives. Chapter 11. Rolle's theorem, the mean value theorem, and the sign of the derivative. Chapter 12. Higher-order derivatives and implicit differentiation. Chapter 13. Maxima and minima. Chapter 14. Related rates. Chapter 15. Curve sketching (graphs). Chapter 16. Applied maximum and minimum problems. Chapter 17. Rectilinear motion. Chapter 18. Approximayion by differentials. Chapter 19. Antiderivatives (indefinite integrals). Chapter 20. The definite integral and the fundamental theorem of calculus. Chapter 21. Area and arc length. Chapter 22. Volume. Chapter 23. The natural logarithm. Chapter 24. Exponential functions. Chapter 25. L'Hopital's rule. Chapter 26. Exponential growth and decay. Chapter 27. Inverse trigonometric functions. Chapter 28. Integration by parts. Chapter 29. Trigonometric integrands and substitutions. Chapter 30. Integration of rational functions: the method of partial functions. Chapter 31. Integrals for surface area, work, centroids. Chapter 32. Improper integrals. Chapter 33. Planar vectors. Chapter 34. Parametric equations, vector functions, curvilinear motion. Chapter 35. Polar cordinates. Chapter 36. Infinite sequences. Chapter 37. Infinite series. Chapter 38. Power series. Chapter 39. Taylor and Maclaurin series. Chapter 40. Vectors in space. Lines and planes. Chapter 41. Functions of several variables. Chapter 42. Partial derivatives. Chapter 43. Directional derivatives and the gradient. Extreme values. Chapter 44. Multiple integrals and their applications. Chapter 45. Vector functions in space. Divergence and curl. Line integrals. Chapter 46. Differential equations.
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