Simon Fraser University Department of Mathematics
Spring 2005

MATH 252-3: Vector Calculus

Week 10 - Surface and Volume Integrals

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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

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Week 10:

  • Lecture 28: 14 March
    Parametrized Surfaces:
    Parametrization of surfaces, normal to surface, regular surface element, surface area, element of area, example: surface area of sphere; surface area of graphs

    Reading: D&S Ch.4 (4.6)

  • Lecture 29: 16 March
    Surface Integrals:
    Area cosine principle; surface integrals, example

    Reading: D&S Ch.4 (4.6, 4.7)

  • Lecture 30: 18 March
    Surface and Volume Integrals:
    Examples and applications of surface integrals: heat flow, electrostatic flux and Gauss' Law; volume integrals

    Reading: D&S Ch.4 (4.7, 4.8)