29:213 Classical Electrodynamics Syllabus

29::213 Classical Electrodynamics

Fall Semester 2000

HOMEWORKS AND READINGS (J=Jackson; S=Schwinger, F=Feynman)

week 1

Readings. J: Introduction; Appendix on Units and Dimensions; Chapter 1, sections 1 to 7.

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. .

Problems (due Tuesday 29 Aug.)

Solve Problems 3 and 4 in Chapter 1 of J.

IMPORTANT: SHOW ALL THE DETAILS OF YOUR WORK

week 2

Readings: J: Chapter 1, sections 8 to 13.

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

week 3

Readings: J: Chapter 2, sections 1 to 7.

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)

week 4

Readings: J: Chapter 2, sections 8 to 12.

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

week 5

Readings: J: Chapter 3, sections 1 to 7.

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.

week 6

Readings: J: Chapter 3, sections 8 to 13.

Optional readings: S : Chapter 18.

Derivations:

(3.82-83)

Problems (due Oct. 3 )

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

week 7

Midterm on October 11 and 13.

week 8

Readings: J: Chapter 4, sections 1 to 4

Problems (due Oct. 17 )

Solve Problems 8, 13 and 17 in Chapter 3.

week 9

Readings: J: Chapter 4, sections 5 to 7

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.

week 10

Readings: J: Chapter 5, sections 1 to 8

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.

week 11

Readings: J: Chapter 5, sections 9 to 12

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

week 12

Readings: J: Chapter 5, sections 13 to 17

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

week 13

Readings: J: Chapter 6, sections 1 to 4

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