Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions a. Vector functions, pp. 762, 764 Vector functions, pp. 762, 764 b. Def , p. 764 Def , p. 764 c. Limit Rules, p. 765 Limit Rules, p. 765 d. (13.1.4), p765 (13.1.4), p765 e. Continuity and differentiability, p. 766 Continuity and differentiability, p. 766 f. Integration, p. 767 Integration, p. 767 g. Properties of the integral, pp. 768, 769 Properties of the integral, pp. 768, 769 Differentiation Formulas a. Differentiation rules, p. 772 Differentiation rules, p. 772 b. Differentiation rules, Leibniz’s notation, p. 774 Differentiation rules, Leibniz’s notation, p. 774 c. (13.2.3), (13.2.4), pp. 774, 775 (13.2.3), (13.2.4), pp. 774, 775 Curves a. Differentiable curves, etc., p. 776 Differentiable curves, etc., p. 776 b. Tangent vector, direction of tangent vector, p. 778, figure Tangent vector, direction of tangent vector, p. 778, figure c. Tangent line, p. 779 Tangent line, p. 779 d. Unit tangent vector (13.3.3), p. 781 Unit tangent vector (13.3.3), p. 781 e. Principal normal vector (13.3.4), p. 781 Principal normal vector (13.3.4), p. 781 f. Osculating plane, p. 781 Osculating plane, p. 781 Arc Length a. Arc length (13.4.1), p. 787, Figures – 2 Arc length (13.4.1), p. 787, Figures – 2 b. Arc length formula, Theorem , p. 788 Arc length formula, Theorem , p. 788 Curvilinear Motion; Curvature a. (13.5.1), (13.5.2), p. 794, Figure (13.5.1), (13.5.2), p. 794, Figure b. Curvature, (13.5.3), p. 796, figure Curvature, (13.5.3), p. 796, figure c. Curvature of a twice differentiable function, (13.5.4), p. 797 Curvature of a twice differentiable function, (13.5.4), p. 797 d. Curvature, curve given parametrically, (13.5.5), p. 797 Curvature, curve given parametrically, (13.5.5), p. 797 e. Curvature of space curves, (13.5.6), (13.5.7), p. 800, figure Curvature of space curves, (13.5.6), (13.5.7), p. 800, figure f. Components of acceleration, (13.5.8), p. 801 Components of acceleration, (13.5.8), p. 801 g. (13.5.9), ( ), ( ), p. 802 (13.5.9), ( ), ( ), p. 802 Chapter 13: Vector Calculus

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions Vector functions, pp. 762, 764

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions Def , p. 764

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions Limit Rules, p. 765

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions (13.1.4), p765

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions Continuity and differentiability, p. 766

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions Integration, p. 767

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Vector Functions Properties of the integral, pp. 768, 769

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Differentiation Formulas Differentiation rules, p. 772

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Differentiation Formulas Differentiation rules, Leibniz’s notation, p. 774

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Differentiation Formulas (13.2.3), (13.2.4), pp. 774, 775

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curves Differentiable curves, etc., p. 776

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curves Tangent vector, direction of tangent vector, p. 778, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curves Tangent line, p. 779

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curves Unit tangent vector (13.3.3), p. 781

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curves Principal normal vector (13.3.4), p. 781

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curves Osculating plane, p. 781

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Arc Length Arc length (13.4.1), p. 787, Figures

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Arc Length Arc length formula, Theorem , p. 788

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature (13.5.1), (13.5.2), p. 794, Figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature Curvature, (13.5.3), p. 796, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature Curvature of a twice differentiable function, (13.5.4), p. 797

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature Curvature, curve given parametrically, (13.5.5), p. 797

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature Curvature of space curves, (13.5.6), (13.5.7), p. 800, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature Components of acceleration, (13.5.8), p. 801

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Curvilinear Motion; Curvature (13.5.9), ( ), ( ), p. 802