1. Chapter 16: Double and Triple Integrals
Double Integrals
(16.2.1), (16.2.2), p. 947
Definition , p. 948
The double integral as volume, p. 949
(16.2.6), p. 953, figure
(16.2.7), p. 953, figure
Properties of double integrals, p. 954
Theorem , p. 955
Repeated Integrals
Type I regions, (16.3.1), pp. 957,958, figure Type I
Type II regions, (16.3.2), pp. 958, figure Type II
The Double Integral as a Limit of Riemann Sums; Polar Coordinates
(16.4.2), pp. 970, 971, figure
Some Applications of Double Integration
Mass of a plate, (16.5.1), p. 976
Center of mass of a plate, (16.5.2), p. 976
Triple Integrals
Definition (16.6.1), p. 984
(16.6.2), p. 985, figure
Volume, (16.6.3), p. 985
Reduction to Repeated Integrals
(16.7.1), p. 989, figure
Cylindrical Coordinates
Rectangular coordinates/cylindrical coordinates, p. 998, figure
(16.8.1), p. 999
Volume in cylindrical coordinates, (16.8.2), p. 1000
Spherical Coordinates
Spherical coordinates, pp. 1004, 1005, figure
(16.9.3), (16.9.4), p. 1007
Jacobians, Changing Variables
Change of variables, pp. 1011, 1012, figure
Jacobian, ( ), p. 1012
( ), p. 1012
Salas, Hille, Etgen Calculus: One and Several Variables
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2. Double Integrals (16.2.1), (16.2.2), p. 947
Salas, Hille, Etgen Calculus: One and Several Variables
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3. Double Integrals Definition 16.2.3, p. 948
Salas, Hille, Etgen Calculus: One and Several Variables
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4. Double Integrals The double integral as volume, p. 949
Salas, Hille, Etgen Calculus: One and Several Variables
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5. Double Integrals (16.2.6), p. 953. Figure 16.2.12
Salas, Hille, Etgen Calculus: One and Several Variables
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6. Double Integrals (16.2.7), p. 953. Figure 16.2.13
Salas, Hille, Etgen Calculus: One and Several Variables
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7. Double Integrals Properties of double integrals, p. 954
Salas, Hille, Etgen Calculus: One and Several Variables
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8. Double Integrals Theorem 16.2.10, p. 955
Salas, Hille, Etgen Calculus: One and Several Variables
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9. Repeated Integrals
Type I regions, (16.3.1), pp. 957, 958, figure Type I
Salas, Hille, Etgen Calculus: One and Several Variables
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10. Repeated Integrals
Type II regions, (16.3.2), pp. 958, figure Type II
Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

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

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

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

14. Triple Integrals Definition (16.6.1), p. 984
Salas, Hille, Etgen Calculus: One and Several Variables
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15. Triple Integrals (16.6.2), p. 985, figure 16.6.4
Salas, Hille, Etgen Calculus: One and Several Variables
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16. Triple Integrals Volume, (16.6.3), p. 985
Salas, Hille, Etgen Calculus: One and Several Variables
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17. Reduction to Repeated Integrals
(16.7.1), p. 989, figure
Salas, Hille, Etgen Calculus: One and Several Variables
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18. Cylindrical Coordinates
Rectangular coordinates/cylindrical coordinates, p. 998, figure
Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

19. Cylindrical Coordinates
( ), p.999
Salas, Hille, Etgen Calculus: One and Several Variables
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20. Cylindrical Coordinates
Volume in cylindrical coordinates, (16.8.2), p. 1000
Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

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

22. Spherical Coordinates
Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

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

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

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