Simon Fraser University Department of Mathematics
Spring 2005

MATH 252-3: Vector Calculus

Week 5 - Divergence, Curl, Laplacian

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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 5:

  • Lecture 13: 7 February
    Divergence:
    Flux, fluid flow; divergence of a vector field as flux per unit volume, derivation of formula for div
    F
    Reading: D&S Ch.3 (3.3)

  • Lecture 14: 9 February
    Conservation Laws and Curl:
    Flux and mass conservation, equation of continuity in fluid mechanics, general conservation laws; circulation, curl as circulation per unit area, derivation of formula for
    curl F, example
    Reading: D&S Ch.3 (3.3, 3.4)

  • Lecture 15: 11 February
    Del Notation and the Laplacian:
    Angular velocity interpretation of curl, scalar curl; the del operator, differential operators in Cartesian coordinates; the Laplacian and applications

    Reading: D&S Ch.3 (3.4, 3.5, 3.6)