Quick Links:
Instructor:
Ralf Wittenberg
K-10536, 291-4792
ralf@sfu.ca |
Lectures:
M, W, F 8:30-9:20am
in K 9500 |
Text:
Davis & Snider,
Introduction to Vector Analysis
Wm.C. Brown |
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Announcements:
- Homework Set 11: Sec.4.8 # 6; Sec.4.9 # 3(b), 5, 8, 12, 17, 20, 29, 30, 34; Sec.4.10 # 1, 5; Sec.5.1 # 6, 7, 8; Sec.5.4 # 6, 7, 11; Sec.5.5 # 1, 2; and an additional problem - due Tuesday April 6
Note: This seems a large number of problems, but many of them (especially those of Ch.5) become extremely short when Green's, divergence or Stokes' theorem is used appropriately! Please be sure that you are comfortable evaluating line, surface and volume integrals directly, however.
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- Lecture 36: 29 March
Maxwell's Equations:
Application of divergence and Stokes' theorems to Gauss' Law and the differential form of Maxwell's Equations in electromagnetism; introduction to transport theorems
Reading: D&S Ch.4 (4.9, 4.10) - Homework Set 11
- Problems (HW Set 11): 4.9 - 30; 5.1 - 6, 7, 8; 5.5 - 1, 2
- Suggested additional exercises for this lecture (optional):
4.9 - 35
- Lecture 37: 31 March
Transport Theorems:
Flux transport theorem and Reynolds transport theorem, and heuristic derivations; applications to equations of fluid mechanics
- Reading: D&S Ch.4 (4.10)
- Homework Set 11
- Problems (HW Set 11): 4.10 - 1, 5
- Suggested additional exercises for this lecture (optional):
4.10 - 2, 3, 4, 6, 7
- Lecture 38: 2 April
Gauss' Divergence Theorem:
Proof of the Divergence Theorem, some more examples, Green's formulas
- Reading: D&S Ch 5 (5.1, 5.2)
- Homework Set 11
- Suggested additional exercises for this lecture (optional):
5.1 - 10; 5.2 - 8, 9
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