Simon Fraser University Department of Mathematics
Spring 2005

MATH 252-3: Vector Calculus

Week 12 - Divergence and Stokes' Theorems

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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:

Week 12:

  • No Lecture 28 March:
    Easter Monday

  • Lecture 33: 30 March
    Proofs, Maxwell's Equations:
    Proofs of the Divergence and Stokes' Theorems, some more examples; applications to Gauss' Law and the differential forms of Maxwell's equations in electromagnetism

    Reading: D&S Ch.4&5 (5.1, 5.5)
    Read Appendix D for much more on applications to electromagnetism

  • Lecture 34: 1 April
    Maxwell's Equations, Vector Spaces:
    Maxwell's Equations: Gauss', Ampere's, Faraday's Law; Integration by parts: Green's 1st and 2nd formulas; Vector spaces, examples, linear independence, basis, inner products, orthogonality

    Reading: D&S Ch.5 (5.2) - also see Appendix D; notes on orthogonality