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Chapter 1. Precalculus Review. Chapter 2. Limits and Continuity. Chapter 3. Differentiation. Chapter 4. The Mean-Value Theorem and Applications. Chapter 5. Integration. Chapter 6. Applications of the Integral. Chapter 7. The Transcendental Functions. Chapter 8. Techniques of Integration. Chapter 9. The Conic Sections; Polar Coordinates; Parametric Equations. Chapter 10. Sequences; Indeterminate Forms; Improper Integrals. Chapter 11. Infinite Series. Chapter 12. Vectors. Chapter 13. Vector Calculus. Chapter 14. Functions of Several Variables. Chapter 15. Gradients; Extreme Values; Differentials. Chapter 16. Double and Triple Integrals. Chapter 17. Line Integrals and Surface Integrals. Chapter 18. Elementary Differential Equations. Appendix A: Some Additional Topics. Appendix B. Some Additional_Proofs. Answers to Odd-Numbered Exercises. Index. Tables of Integrals.