Simon Fraser University Department of Mathematics
Spring 2005

MATH 252-3: Vector Calculus

Week 11 - Integral Theorems of Vector Calculus

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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 11:

  • Lecture 31: 21 March
    Integral Theorems of Vector Calculus:
    Green's Theorem in the Plane, Gauss' Divergence Theorem, Stokes' Theorem: the main results of this course! Overview, heuristic proofs of divergence and Stokes' theorems; examples; Green's theorem in the plane with proof

    Reading: D&S Ch.4&5 (4.9, 5.4)

  • Lecture 32: 23 March
    Green's Theorem, divergence and Stokes' Theorems:
    Vector forms of Green's theorem: special case of Stokes' and divergence theorem; more examples, proof that irrotational implies conservative on a simply connected domain; application to conservation laws

    Reading: D&S Ch.4&5 (5.4, 4.9)

  • No Lecture 25 March:
    Good Friday