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 10: 26 January
Vector-valued Functions, Space Curves:
Vector functions of a single variables, limits, continuity, differentiation, rules; space curves, tangent, velocity, unit tangent; arc length
Reading: D&S Ch.2 (2.1, 2.2) - Homework Set 3
- Problems (HW Set 4): 2.1 - 1, 3, 4; 2.2 - 2, 4, 5
- Suggested additional exercises for this lecture (optional):
2.1 - 2, 5; 2.2 - 3, 6, 7
- Lecture 11: 28 January
Acceleration and Curvature:
Arc length parametrization; introduction to Maple for plotting space curves; curvature, radius of curvature
Reading: D&S Ch.2 (2.2, 2.3)
- Homework Set 4
- Maple code and examples: Space curves
- Problems (HW Set 4): 2.2 - 8, 10; 2.3 - 5
- Suggested additional exercises for this lecture (optional):
2.2 - 12, 14; 2.3 - 1, 3, 8
- Lecture 12: 30 January
Curvature and Acceleration:
Principal normal and binormal vectors, tangential and centripetal acceleration; torsion
Reading: D&S Ch. 2 (2.3) - Homework Set 4
- Problems (HW Set 4): 2.3 - 7, 14, 15, 18, 19, and additional problems
- Suggested additional exercises for this lecture (optional):
2.3 - 11, 12, 13, 16
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