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:
- Lecture 4: 17 January
Vector and Triple Product:
Permutation tensor, tensor notation form of cross product; mechanical interpretation: work, torque, angular velocity; parametric and non-parametric representation of equations of lines and planes; scalar triple product, 3x3 determinant, volume
Reading: D&S Ch.1 (1.8, 10, 12, 13, 15)
Note: Table 1.2, p.56 gives a nice summary of the various vector products and their analytical and geometric interpretations
- Lecture 5: 19 January
Vector Identities:
Properties of scalar triple product, linear independence; vector triple product, vector identities
Reading: D&S Ch.1 (1.13, 14, 15)
- Lecture 6: 21 January
Space Curves:
Vector identities, product of permutation tensors; vector functions of a single variable, limits, continuity, derivatives, differentiation rules; space curves, examples: straight line, circle, helix
Reading: D&S Ch.1 & 2 (1.15, 2.1, 2.2)
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