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:
- Results from the Midterm Exam :
Average grade 34/50 (68%)
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- Homework Set 7 due Thursday, March 4: Sec.3.10 # 2, 8, 9, 10, 12, 13, 16, Sec.5.8 # 8, 10, and additional problems (on the application of vector identities to Maxwell's Equations and electromagnetism, and the invariance of vector differential operators under linear orthogonal coordinate transformations).
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- Some Notes on Homework Set 7 (regarding electric and magnetic fields and waves: hints for extra problem 1(e) and (f))
Other Comments and Notes on the homework set (typos in the text...) - Updated comment: Wednesday pm
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- Since the homework set was posted late, if you need an extra day, you can hand it in on Thursday (update: or Friday morning)...
- Lecture 21: 23 February
Applications of the Laplacian; Orthogonal Transformations:
Laplacian operator, Laplace's equation, harmonic functions; convexity, local averages; applications in fluid dynamics and diffusive processes, heat flow, Fourier's and Fick's Laws, Laplace's and Poisson's equations, heat and diffusion equations; linear orthogonal transformations, transformations of scalar and vector fields, invariance of grad, div, curl
Reading: D&S Ch.3 & 5 (3.6, 5.8)
- Homework Set 6
- Problems (HW Set 7): 5.8 - 8, 10 and additional problems
- Suggested additional exercises for this lecture (optional):
5.8 - 5, 6, 11, 12
- Lecture 22: 25 February
Cylindrical Coordinates:
Cylindrical coordinates, level surfaces and coordinate curves, vector differential operators via change of coordinate and geometrical interpretation, arc length, volume element; gradient
Reading: D&S Ch.3 (3.10) - Homework Set 7
- Problems (HW Set 7): 3.10 - 2, 16
- Suggested additional exercises for this lecture (optional):
3.10 - 3, 4, 15
- Lecture 23: 27 February
Cylindrical and Spherical Coordinates:
Divergence, curl and Laplacian in cylindrical coordinates, 2-d polar coordinates; spherical coordinates, level surfaces and coordinate curves, arc length and volume element
Reading: D&S Ch.3 (3.10)
- Homework Set 7
- Problems (HW Set 7): 3.10 - 8, 9, 10, 12, 13
- Suggested additional exercises for this lecture (optional):
3.10 - 7, 14
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