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:
- Lecture 7: 24 January
Arc Length, Curvature:
Smooth and regular space curves; arc length, arc length parametrization; unit tangent T, curvature, radius of curvature, principal normal N, osculating circle
Reading: D&S Ch.2 (2.2, 2.3)
- Lecture 8: 26 January
Frenet Formulas:
Tangent, principal normal, binormal B; differential geometry of curves, Frenet formulas, derivation and interpretation, torsion; example
Reading: D&S Ch.2 (2.3)
- Lecture 9: 28 January
Acceleration:
Tangential and centripetal acceleration; Introduction to Maple for plotting space curves, the VectorCalculus package
Reading: D&S Ch.2 (2.3)
Maple code and examples:
Space curves
Vector algebra and geometry of curves (using the VectorCalculus package)
Some web links:
Introduction to the VectorCalculus package (we will be covering most of these concepts in this course; for now, look at the 'Operations on Parametric Curves' near the bottom)
Another vector calculus package for Maple: VecCalc (old version vec_calc); with some sample commands (scroll down the html file to find some animations of a space curve and its Frenet frame)
Animation of the Frenet frame
|