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1. An Overview of Calculus. 2. Functions, Limits, and Continuity. 3. The Derivative. 4. Applications of the Derivative. 5. The Definite Integral. 6. Topics in Differential Calculus. 7. Computing Antiderivatives. 8. Applications of the Definite Integral. 9. Plane Curves and Polar Coordinates. 10. Series. 11. Power Series and Complex Numbers. 12. Vectors. 13. The Derivative of a Vector Function. 14. Partial Derivatives. 15. Definite Integrals over Plane and Solid Regions. 16. Green's Theorem. 17. The Divergence Theorem and Stokes' Theorem. Appendices: A. Real Numbers. B. Graphs and Lines. C. Topics in Algebra. D. Exponents. E. Mathematical Induction. F. The Converse of a Statement. G. Conic Sections. H. Logarithms and Exponentials Defined through Calculus. I. The Taylor Series for f(x,y). J. Theory of Limits. K. The Interchange of Limits. L. The Jacobian. M. Linear Differential Equations with Constant Coefficients.