Simon Fraser University Department of Mathematics
Spring 2004

MATH 252-3: Vector Calculus

Week 12

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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:

  • Lecture 33: 22 March
    Surface and Volume Integrals:
    Applications of surface integrals: heat flow, electrostatic flux and Gauss' Law, examples; volume integrals

    Reading: D&S Ch.4 (4.7, 4.8)
  • Homework Set 10
  • Problems (HW Set 11): 4.8 - 6
  • Suggested additional exercises for this lecture (optional):
    4.8 - 1, 3, 4

  • Lecture 34: 23 March
    Green's Theorem, Introduction to Divergence and Stokes' Theorems:
    Introduction to Divergence and Stokes' Theorems, heuristic proofs; Green's Theorem in the plane with proof, computation of area
  • Reading: D&S Ch.4 & 5 (5.4, 4.9)
  • Homework Set 10
  • Problems (HW Set 11): 5.4 - 6, 7, 8
  • Suggested additional exercises for this lecture (optional):
    5.4 - 10, 12

  • Lecture 35: 25 March
    Divergence and Stokes' Theorems:
    Vector forms of Green's theorem; examples of divergence and Stokes' theorems, application to conservation laws
  • Reading: D&S Ch.4 & 5 (5.4, 4.9)
  • Homework Set 10
  • Problems (HW Set 11): 4.9 - 3(b), 5, 8, 12, 17, 20, 29, 34
  • Suggested additional exercises for this lecture (optional):
    4.9 - 4, 10, 13, 16, 18, 21, 26, 28