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A Library of Functions.Key Concept: The Derivative. Short-Cuts to Differentiation.Using the Derivative. Key Concept: The Definite Integral.Constructing Antiderivatives.Integration.Using the Definite Integral.Series. Approximating Functions. Differential Equations. Functions of Several Variables. A Fundamental Tool: Vectors.Differentiating Functions of Several Variables. Optimization: Local and Global Extrema.Integrating Functions of Several Variables. Parameterization and Vector Fields. Line Integrals. Flux Integrals. Calculus of Vector Fields. Appendix A: Roots, Accuracy, and Bounds.Appendix B: Polar Coordinates. Appendix C: Complex Numbers. Appendix D: Newton's Method. Appendix E: Determinants.Ready Reference. Answers to Odd Numbered Problems. Index.