1. 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 16.2.3, p. 948 Definition 16.2.3, p. 948 c. The double integral as volume, p. 949 The double integral as volume, p. 949 d. (16.2.6), p. 953, figure 16.2.12 (16.2.6), p. 953, figure 16.2.12 e. (16.2.7), p. 953, figure 16.2.13 (16.2.7), p. 953, figure 16.2.13 f. Properties of double integrals, p. 954 Properties of double integrals, p. 954 g. Theorem 16.2.10, p. 955 Theorem 16.2.10, p. 955 Repeated Integrals a. Type I regions, (16.3.1), pp. 957,958, figure 16.3.1-Type I Type I regions, (16.3.1), pp. 957,958, figure 16.3.1-Type I b. Type II regions, (16.3.2), pp. 958, figure 16.3.1-Type II Type II regions, (16.3.2), pp. 958, figure 16.3.1-Type II The Double Integral as a Limit of Riemann Sums; Polar Coordinates a. (16.4.2), pp. 970, 971, figure 16.4.3 (16.4.2), pp. 970, 971, figure 16.4.3 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 16.6.4 (16.6.2), p. 985, figure 16.6.4 c. Volume, (16.6.3), p. 985 Volume, (16.6.3), p. 985 Reduction to Repeated Integrals a. (16.7.1), p. 989, figure 16.7.2 (16.7.1), p. 989, figure 16.7.2 Cylindrical Coordinates a. Rectangular coordinates/cylindrical coordinates, p. 998, figure 16.8.1 Rectangular coordinates/cylindrical coordinates, p. 998, figure 16.8.1 b. (16.8.1), p. 999 (16.8.1), p. 999 c. Volume in cylindrical coordinates, (16.8.2), p. 1000 Volume in cylindrical coordinates, (16.8.2), p. 1000 Chapter 16: Double and Triple Integrals Spherical Coordinates a. Spherical coordinates, pp. 1004, 1005, figure 16.9.1 Spherical coordinates, pp. 1004, 1005, figure 16.9.1 b. (16.9.3), (16.9.4), p. 1007 (16.9.3), (16.9.4), p. 1007 Jacobians, Changing Variables a. Change of variables, pp. 1011, 1012, figure 16.10.1 Change of variables, pp. 1011, 1012, figure 16.10.1 b. Jacobian, (16.10.1), p. 1012 Jacobian, (16.10.1), p. 1012 c. (16.10.2), p. 1012 (16.10.2), p. 1012

2. 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

3. Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals Definition 16.2.3, p. 948

4. 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

5. 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. 953. Figure 16.2.12

6. 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. 953. Figure 16.2.13

7. 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

8. Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Double Integrals Theorem 16.2.10, p. 955

9. 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 16.3.1-Type I

10. 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 16.3.1-Type II

11. 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 16.4.3

12. 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

13. 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

14. 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

15. 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 16.6.4

16. 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

17. 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 16.7.2

18. 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 16.8.1

19. Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Cylindrical Coordinates ( 16.8.1), p.999

20. 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

21. 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 16.9.1

22. 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

23. 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 16.10.1

24. Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Jacobians, Changing Variables Jacobian, (16.10.1), p.1012

25. Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Jacobians, Changing Variables (16.10.2), p. 1012