Ph 385

Fall 2009

Problem Assignments (Fall 2011)

(Changes in Schey Version 4)

Problem Set 1. Ch. 1 P 1, 5, 6, 10, 12; computer problem Comp-1.

Problem Set 2. Ch. 1 P 2, 3, 13, 14, 21, 25, 26, 29; Ch. 2 P 1, 2, 3.

Problem Set 3. Ch 2 P 4, 6, 7, 9; Ch. 3 P 2, 3, 7, 9, 10.

Problem Set 4. Ch. 4 P. 1, 2, 4, 6; Ch. 5 P. 1, 2, 3, 5.

Problem Set 5. Ch. 5 P. 6; Ch. 6 P. 1, 2, 5, 7, 8, 14, 15; Ch. 7 P. 1, 2computer problem Wave-1.

Problem Set 6. Ch. 7 P. 3, 5, 6, 7; Ch. 8 P. 1; computer problem Wave-2.

Problem Set 7. Ch. 8 P. 2; Ch. 9 P. 1, 3, 4, 5, 6, 7; Ch. 10 P. 1

Problem Set 8. Ch. 10 P. 2, 3; Schey Ch. I P. 1; computer problem Fourier-1.

Problem Set 9. Ch. I P. 3, 6; Ch. II P. 2, 10

Problem Set 10. Ch. II P. 4 part (a), 5 part (a), 12, 14, 15 parts (a) and (b), 17; computer problem Fourier-2.

Problem Set 11. Ch. II P. 19, 21, 23, 24, 27.

Problem Set 12. Ch. II P. 28; III P. 1, 2, 3, 4 parts (a) and (b), P. 6 (use tensor notation), 9, 11 (note typo in problem 11 - should say "See Problem II-19.")

Problem Set 13. Ch. III P. 15 (OK to choose any capping surface you like), 20, 24 (substitute the given expressions for the components of into ; then look for a place to use ), 25, 26.

Problem Set 14. IV P. 1 (see revised version below), 2 (see revised version below), 3 (use tensor notation).

Schey Ch. IV Problem 1 (modified). (a) Calculate for each of the following scalar functions:

(b) Verify that

for the specified function determined in part (a) by choosing for the curve C:

(i) the square in the xy-plane with vertices at (0,0), (1,0), (1,1), and (0,1); use function (i) above.

(ii) the triangle in the yz-plane with vertices at (0,0), (1,0), and (0,1); use function (iii) above.

(iii) the circle of unit radius centered at the origin and lying in the xz-plane; use function (iv) above.

(c) Verify by direct calculation that for all of the functions determined in part (a).

Schey Ch. IV Problem 2 (modified). Using tensor notation, verify the following identities, in which f and g are arbitrary differentiable scalar functions of position, and and are arbitrary differentiable vector functions of position:

Problem Set 15. Ch. IV P. 24, 27.