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 4 due 10 February (revised)
- Tutorial Sessions this Tuesday, 3 February
- Lecture 13: 2 February
Frenet Formulas, Planar Motion in Polar Coordinates:
Frenet formulas, derivation and interpretation; polar coordinates, velocity and acceleration
Reading: D&S Ch.2 (2.3, 2.4) - Homework Set 4
- Problems (HW Set 4): 2.4 - 1, 3, 7, 8, 16
- Suggested additional exercises for this lecture (optional):
2.4 - 4, 6, 10, 14
- Lecture 14: 4 February
Scalar Fields and Directional Derivatives:
Newton's Law, central forces, Kepler's Second Law; scalar fields, isotimic surfaces, directional derivatives, gradients
Reading: D&S Ch.2 & 3 (2.4, 3.1)
- Homework Set 4
- Problems (HW Set 5): 3.1 - 4, 5, 7, 10(a)
- Suggested additional exercises for this lecture (optional):
3.1 - 1, 8, 10(d)
- Lecture 15: 6 February
Gradients and Vector Fields:
Properties of gradients, directions of maximal increase, tangent planes; vector fields, examples: gravitational, electrostatic field; flow lines
Reading: D&S Ch.3 (3.1, 3.2)
- Homework Set 4
- Problems (HW Set 5): 3.1 - 12, 17, 21, 23, 32, 34
- Suggested additional exercises for this lecture (optional):
3.1 - 11, 14, 19, 20, 24, 29, 36
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