Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals a. (16.2.1), (16.2.2), p. 947 (16.2.1), (16.2.2), p. 947 b. Definition , p. 948 Definition , p. 948 c. The double integral as volume, p. 949 The double integral as volume, p. 949 d. (16.2.6), p. 953, figure (16.2.6), p. 953, figure e. (16.2.7), p. 953, figure (16.2.7), p. 953, figure f. Properties of double integrals, p. 954 Properties of double integrals, p. 954 g. Theorem , p. 955 Theorem , p. 955 Repeated Integrals a. Type I regions, (16.3.1), pp. 957,958, figure Type I Type I regions, (16.3.1), pp. 957,958, figure Type I b. Type II regions, (16.3.2), pp. 958, figure Type II Type II regions, (16.3.2), pp. 958, figure Type II The Double Integral as a Limit of Riemann Sums; Polar Coordinates a. (16.4.2), pp. 970, 971, figure (16.4.2), pp. 970, 971, figure Some Applications of Double Integration a. Mass of a plate, (16.5.1), p. 976 Mass of a plate, (16.5.1), p. 976 b. Center of mass of a plate, (16.5.2), p. 976 Center of mass of a plate, (16.5.2), p. 976 Triple Integrals a. Definition (16.6.1), p. 984 Definition (16.6.1), p. 984 b. (16.6.2), p. 985, figure (16.6.2), p. 985, figure c. Volume, (16.6.3), p. 985 Volume, (16.6.3), p. 985 Reduction to Repeated Integrals a. (16.7.1), p. 989, figure (16.7.1), p. 989, figure Cylindrical Coordinates a. Rectangular coordinates/cylindrical coordinates, p. 998, figure Rectangular coordinates/cylindrical coordinates, p. 998, figure b. (16.8.1), p. 999 (16.8.1), p. 999 c. Volume in cylindrical coordinates, (16.8.2), p Volume in cylindrical coordinates, (16.8.2), p Chapter 16: Double and Triple Integrals Spherical Coordinates a. Spherical coordinates, pp. 1004, 1005, figure Spherical coordinates, pp. 1004, 1005, figure b. (16.9.3), (16.9.4), p (16.9.3), (16.9.4), p Jacobians, Changing Variables a. Change of variables, pp. 1011, 1012, figure Change of variables, pp. 1011, 1012, figure b. Jacobian, ( ), p Jacobian, ( ), p c. ( ), p ( ), p. 1012

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals (16.2.1), (16.2.2), p. 947

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals Definition , p. 948

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals The double integral as volume, p. 949

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals (16.2.6), p Figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals (16.2.7), p Figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals Properties of double integrals, p. 954

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals Theorem , p. 955

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Repeated Integrals Type I regions, (16.3.1), pp. 957, 958, figure Type I

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Repeated Integrals Type II regions, (16.3.2), pp. 958, figure Type II

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. The Double Integral as a Limit of Riemann Sums; Polar Coordinates (16.4.2), pp. 970, 971, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Some Applications of Double Integration Mass of a plate, (16.5.1), p. 976

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Some Applications of Double Integration Center of mass of a plate, (16.5.2), p. 976

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Triple Integrals Definition (16.6.1), p. 984

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Triple Integrals (16.6.2), p. 985, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Triple Integrals Volume, (16.6.3), p. 985

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Reduction to Repeated Integrals (16.7.1), p. 989, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Cylindrical Coordinates Rectangular coordinates/cylindrical coordinates, p. 998, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Cylindrical Coordinates ( ), p.999

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Cylindrical Coordinates Volume in cylindrical coordinates, (16.8.2), p. 1000

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Spherical Coordinates Spherical coordinates, pp. 1004, 1005, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Spherical Coordinates (16.9.3), (16.9.4), p. 1007

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Jacobians, Changing Variables Change of variables, pp. 1011, 1012, figure

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Jacobians, Changing Variables Jacobian, ( ), p.1012

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Jacobians, Changing Variables ( ), p. 1012