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 8: Sec.3.7 # 2, 3, 5, 7; Sec.3.11 # 3, 7, 9, 11, 12, 13, 14, and additional problems - due Wednesday, March 10
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- Solution to Homework 7, Sec.5.8 # 8,10 (on the invariance of divergence, curl and the Laplacian under linear orthogonal transformations; these calculations are most easily done using tensor notation).
- Lecture 27: 8 March
Line Integrals:
Integrals of scalar fields with respect to arc length and coordinate directions, line integrals of vector fields, parametric forms, examples
Reading: D&S Ch.4 (4.1) - Homework Set 8
- Problems (HW Set 9): 4.1 - 3, 6, 10, 12, 14
- Suggested additional exercises for this lecture (optional):
4.1 - 2, 7, 15, 16, 18, 20
- Lecture 28: 10 March
Domains, Conservative Fields and Potentials:
Neighbourhoods, interior, boundary and exterior points, open and closed sets; connected sets, domains, simply connected sets, star-shaped domains; Conservative fields, potential functions, fundamental theorem of calculus for gradients
Reading: D&S Ch.4 (4.2, 4.3)
- Homework Set 8
- Problems (HW Set 9): 4.2 - 1, 5
- Suggested additional exercises for this lecture (optional):
4.1 - 2, 6, 9, 10
- Lecture 29: 12 March
Conservative and Irrotational Fields and Path-Independence:
Conservative fields and potentials, computing the scalar potential, path-independence of line integrals, irrotational fields are conservative in a simply connected domain
Reading: D&S Ch.4 (4.3, 4.4)
- Homework Set 8
- Problems (HW Set 9): 4.3 - 2(c), 3(c), 4, 5, 6; 4.4 - 1(c,d), 2, 7, 9
- Suggested additional exercises for this lecture (optional):
4.3 - 2, 3, 8; 4.4 - 3, 6, 11, 13
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