Many of the phenomena studied in engineering and science are periodic in nature such as wind and dynamic loads.

Many of the phenomena studied in engineering and science are periodic in nature such as wind and dynamic loads. These periodic functions can be analyzed into their constituent components (fundamentals and harmonics) by a process called Fourier analysis

1. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Elementary Examples
a.Function of two variables, domain, range, p. 820
b.Function of three variables, domain, range, p. 820
A Brief Catalogue of ….
a.Intercepts, traces, etc., p. 824
b.Projections, p. 828, figure 14.2.10
 
Graphs; Level Curves and Level Surfaces
a.Level curve, p. 831, figure 14.3.4
b.Level surface, p. 835
 
Partial Derivatives
a.Partial derivative with respect to x, y, p. 839
b.Definition 14.4.1, p. 840
c.Slope of the y
0-section …, p. 841, figure 14.4.1
d.Slope of the x
0-section …, pp. 841, 842, figure 14.4.2
e.Definition 14.4.2, p. 842
f.Interpretations of partial derivatives, p. 843
 
Open and Closed Sets
a.Definition 14.5.1, p. 847, 848, figure 14.5.1
b.Definition 14.5.2, p. 848
c.Definition 14.5.3, p. 848
d.Definition 14.5.4, p. 848
e.Definition 14.5.5, p. 849
 
Limits and Continuity
a.Limit of a function …, p. 851
b.Continuity of composite functions, p. 854
c.Equality of mixed partials, (14.6.5), p. 857
Chapter 14: Functions of Several Variables

2. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Elementary Examples
Function of two variables, domain, range, p. 820

3. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Elementary Examples
Function of three variables, domain, range, p. 820

4. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
A Brief Catalogue of…
Intercepts, traces, etc., p. 824

5. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
A Brief Catalogue of…
Projections, p. 828, figure 14.2.10

6. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
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Graphs; Level Curves and Level Surfaces
Level curve, p. 831, figure 14.3.4

7. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Graphs; Level Curves and Level Surfaces
Level surface, p. 835

8. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Partial Derivatives
Partial derivative with respect to x, y, p. 839

9. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Partial Derivatives
Definition 14.4.1, p. 840

10. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Partial Derivatives
Slope of the y
0-section…, p. 841, figure 14.4.1

11. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Partial Derivatives
Slope of the x
0 -section…, p. 841, 842 figure 14.4.2

12. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Partial Derivatives
Definition 14.4.2, p. 842

13. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Partial Derivatives
Interpretations of partial derivatives, p. 843

14. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
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Open and Closed Sets
Definition 14.5.1, p. 847, 848, figure 14.5.1

15. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
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Open and Closed Sets
Definition 14.5.2, p. 848

16. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Open and Closed Sets
Definition 14.5.3, p. 848

17. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Open and Closed Sets
Definition 14.5.4, p. 848

18. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Open and Closed Sets
Definition 14.5.5, p. 849

19. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
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Limits and Continuity
Limit of a function…, p. 851

20. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Limits and Continuity
Continuity of composite functions, p. 854

21. Salas, Hille, Etgen Calculus: One and Several Variables
Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.
Main Menu
Limits and Continuity
Equality of mixed partials, (14.6.5), p. 857