Optional readings: S ch.1 and F. Ch. 1.

Derivations

- Derive the second and third vector formulas (on the back of the cover page of J.) using the "tensorial" method explained in class
- Derive the expression of the curl of a vector field in cylindrical coordinates
- Derive formulas (1.30-31) in J. .

Solve Problems 3 and 4 in Chapter 1 of J.

IMPORTANT: SHOW ALL THE DETAILS OF YOUR WORK

Optional readings: F: Chapter 5.

Derivations:

- Derive formula (1.58). There is a misprint in the book, rho has a x1-x2 at the denominator not x-x2 ! Show that (1.58) leads to the expected result.
- Derive formulas (1.73) and (1.74).

Problems (due Sept. 5 )

Solve Problems 1, 6, 7, 12 and 13 in Chapter 1

Optional readings: F: Chapter 6.

Derivations:

- Show that (2.6) follows from the integration of (2.7).
- Derive formulas 9, 11 and 18 in Chapter 2.

Problems (due Sept. 12 )

Solve Problems 22 in Chapter 1 and 1, 2 and 4 in Chapter 2. (All chapter numbers refer to J unless specified differently)

Optional readings: F: Chapter 7.

Derivations:

Derive formulas (2.21), (2.26), (2.64) and (2.65).

Problems (due Sept. 19 )

Solve Problems 5, 7, 9, 11 and 12 in Chapter 2

Optional readings: S : Chapter 20.

Derivations:

Check the orthogonality relations for the Fourier series. Derive formulas (3.12), (3.14), (3.16), (3.21), (3.28) and (3.40).

Problems (due Sept. 26 )

Solve Problems 13, 14, 23, 26 and 29 in Chapter 2.

Optional readings: S : Chapter 18.

Derivations:

(3.82-83)

Problems (due Oct. 3 )

Solve Problems 1, 2, 5, 6, 9, 10 in Chapter 3.

Problems (due Oct. 17 )

Solve Problems 8, 13 and 17 in Chapter 3.

Optional readings: F : Chapters 10 and 11.

Derivations: (4.10), (4.14) to (4.20)

Problems (due October 24 )

- Solve problem Ib3 of the midterm with the 3 methods sketched in class.
- Solve Problems 1, 2, 4a and 5a in Chapter 4.

Optional readings: F : Chapter 13.

Derivations: All the details of section 4.4; (4.64) to (4.66)

Problems (due October 31 )

Solve Problems 6, 8, 9, 10 and 11 in Chapter 4.

Optional readings: S : Chapter 11.

Derivations: (4.90) - (4.93)

Problems (due November 7 )

Solve Problems 13 in Chapter 4 and 1, 2, 3 and 6 in Chapter 5

Optional readings: F : Chapter 34.

Derivations: (5.60) to (5.64) and (5.109) to (5.111)

Problems (due November 14 )

Solve Problems 8, 10, 13, 15 and 17 in Chapter 5

Optional readings: S: Chapter 26

Derivations: Show that the solution of chapter 5.10 obeys the proper boundary conditions. (5.118) to (5.122).

Problems (due November 28, after Thanksgiving )

Solve Problems 19, 22, 34a, 35 a and b, 36 in Chapter 5

Midterm II: Friday 12/1 (basic) and Monday 12/4 (Applications)

Readings for last week of classes: J: Chapter 6, sections 5 to 12.

Final: Tuesday December 12 at 7:30 AM (early in the morning!) room VAN 53