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 |
|
Announcements:
- Homework Set 5 due Friday, 20 February at the midterm (or by 4pm in the homework box)
Problems: Sec.3.1 # 4, 5, 7, 10(a), 12, 17, 21, 23, 32, 34; Sec.3.2 # 3, 4; Sec.3.3 # 4, 6, 7, 8; Sec.3.4 # 4, 7, 9, 11; Sec.3.5 # 10; Sec.3.6 # 3 and additional problems
.
- Tutorial Sessions this Tuesday, 10 February
- No class Monday the 16th or tutorials Tuesday the 17th: SFU mid-semester break; no office hours on Monday
- Midterm exam next Friday, 20 February
- Maple examples: fields (fields_nf with no figures: much smaller file)
- Lecture 16: 9 February
Flow Lines and Divergence:
Computation of flow lines, relation with systems of first-order ordinary differential equations and their geometric interpretation; flux; the divergence of a vector field as flux per unit volume, derivation of formula for div F, examples
Reading: D&S Ch.3 (3.2, 3.3)
- Homework Set 5
- Problems (HW Set 5): 3.2 - 3, 4; 3.3 - 4, 6, 7, 8
- Suggested additional exercises for this lecture (optional):
3.2 - 1, 2; 3.3 - 3, 5, 9, 12 (look at this result; see Notes)
- Lecture 17: 11 February
Conservation Laws and Curl:
Flux and mass conservation, equation of continuity in fluid mechanics, general conservation laws; circulation; curl as circulation per unit area, derivation of formula for curl F, examples, angular velocity interpretation
Reading: D&S Ch.3 (3.3, 3.4)
- Homework Set 5
- Problems (HW Set 5): 3.4 - 4, 7, 9, 11
- Suggested additional exercises for this lecture (optional):
3.4 - 6, 10, 12, 13
- Lecture 18: 13 February
Del Notation, the Laplacian, Vector Identities:
Laplacian, the del operator and differential operators in Cartesian coordinates, tensor notation; vector identities: linearity, product rules, second derivaties; curl grad = 0, div curl = 0
Reading: D&S Ch.3 (3.5, 3.6, 3.8, 3.9)
- Homework Set 5
- Problems (HW Set 5): 3.5 - 10; 3.6 - 3
- Suggested additional exercises for this lecture (optional):
3.5 - 4, 5, 6, 7, 8, 9; 3.6 - 2
|