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Editorial Copyright Download and Release History Real and Hyperreal Numbers Differentiation Continuous Functions Integral Limits, Analytic Geometry, and Approximations Applications of the Integral Trigonometric Functions Exponential and Logartihmic Functions Infinite Series Vectors Partial Differentiation Multiple Integrals Vector Calculus Directional Derivatives and Gradients Line Integrals Introduction Definitions Theorem: Evaluating Line Integrals Piecewise Smooth Curve Simple Closed Curve Examples Example 1: Horizontal and Vertical Line Example 2: Work Done by a Force Vector Along a Curve Example 3: Piecwise Smooth Curve Example 4: Line Integral of a Circle Example 5: Line Integral of a Spiral Problems Independence of Path Green's Theorem Surface Area and Surface Integrals Theorems of Stokes and Gauss Extra Problems for Chapter 13 Differential Equations Appendix et Addenda

Last Update: 2011-01-22