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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This Week:
- Final Notes:
The final exam scores are now available on WebCT; the letter grades were submitted on Tuesday, and are available on GoSFU.
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The final exam and solutions are available on WebCT.
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- Have a good summer!
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Previous Weeks:
- Week 1: Introduction, Scalar Product
- Week 2: Projections and Coordinate Transformations; Vector Product
- Week 3: Triple Products; Tensor Notation
- Week 4: Vector Functions of One Variable, Space Curves
- Week 5: Polar Coordinates, Scalar Fields
- Week 6: Vector Fields, Gradient, Divergence, Curl
- Week 7: Differential Operators, the Laplacian; Midterm Exam
- Week 8: Other Coordinate Systems
- Week 9: Curvilinear Coordinates, Taylor Polynomials
- Week 10: Line Integrals, Conservative Fields
- Week 11: Vector Potentials, Surfaces and Surface Integrals
- Week 12: Volume Integrals, Green's, Divergence and Stokes' Theorems
- Week 13: Applications, Proofs, and Transport Theorems
| Instructor: |
Ralf Wittenberg
Office: K-10536; Tel: 291-4792
E-Mail: ralf@sfu.ca |
| Lecture: |
Monday, Wednesday, Friday
8:30-9:20am : K 9500
Tutorials Tuesday mornings |
| Web Page: |
http://www.math.sfu.ca/~ralfw/math252 |
| Text: |
Harry F. Davis and Arthur David Snider,
"Introduction to Vector Analysis" (7th edition)
Wm.C. Brown Publishers.
Additional reading |
Vector Analysis
The mathematical description of much of physics and engineering, including mechanics, continuum and fluid mechanics, and electromagnetism, depends heavily on the language of vectors, particularly in three dimensions. In this course we will develop the theory of vector analysis, the differential and integral calculus of scalar and vector functions in one and several dimensions, leading us to the great theorems of Green, Gauss and Stokes. We will aim for an appreciation both of the underlying mathematics as well as of some of the applications that have historically motivated this theory. As time permits, we will explore how one can extend the linear structure of vector algebra to more general vector spaces of polynomials and functions, including an introduction to Fourier series.
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