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 3 due 28 January
- Tutorial Sessions this Tuesday, 20 January
- Lecture 7: 19 January
Triple Products:
Mechanical applications of the scalar and vector product, parallel-perpendicular decomposition; scalar triple product, volume of parallelepiped; introduction to tensor notation
Reading: D&S Ch.1 (1.12, 1.13, 1.15) - Homework Set 2
- Problems (HW Set 3): 1.13 - 3, 7, 10, 11, 15
- Suggested additional exercises for this lecture (optional):
1.8 - 1, 10, 14, 17; 1.10 - 7, 10, 13, 22
- Lecture 8: 21 January
Vector Identities:
Linear independence and coplanarity, matrix inverse; vector triple product vector identities, tensor notation, summation convention and Kronecker delta
Reading: D&S Ch.1 (1.13, 1.14, 1.15)
- Homework Set 3
- Problems (HW Set 3): 1.13 - 17; 1.14 - 2, 3, 5, 6, 7, 9, 10
- Suggested additional exercises for this lecture (optional):
5.7 - 1, 4, 10, 12, 13, 14, 18; 5.8 - 4, 14, 15, 19
- Lecture 9: 23 January
Tensor Notation:
Coordinate transformations, Cartesian vectors and tensors; permutation tensor; examples of tensor notation calculations
Reading: D&S Ch. 1 (1.15)
- Homework Set 3
- Problems (HW Set 3): 1.14 - 2, 3, 7 using tensor notation; 1.15 - 2
- Suggested additional exercises for this lecture (optional):
1.12 - 5, 6, 12, 20, 21, 23, 26
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