Simon Fraser University Department of Mathematics
Spring 2004

MATH 252-3: Vector Calculus

Week 11

Quick Links:

Library Reserves
WebCT
Course Webpage
This Week
Documents & Homework
Information
Reading List
Policies

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 30: 15 March
    Vector Potentials:
    Solenoidal vector fields, vector potential

    Reading: D&S Ch.4 (4.4, 4.5)
  • Homework Set 9
  • Problems (HW Set 10): 4.5 - 1, 10 (use two methods to find G)
  • Suggested additional exercises for this lecture (optional):
    4.5 - 2, 6, 7, 8

  • Lecture 31: 17 March
    Oriented Surfaces:
    Surfaces, normal vectors, orientation, nonorientable surfaces; parametrization, normal to surface; regular surface element, surface area, element of area, example: surface area of sphere

    Reading: D&S Ch.4 (4.6)
  • Homework Set 9
  • Problems (HW Set 10): 4.6 - 2, 5, 10; paper and scissors exercise with the Mobius strip
  • Suggested additional exercises for this lecture (optional):
    4.6 - 1, 6

  • Lecture 32: 19 March
    Surface Integrals:
    Change of variables in double integrals, surface area of graphs, area cosine principle; surface integrals, flux integral, examples

    Reading: D&S Ch.4 (4.6, 4.7)
  • Homework Set 10
  • Problems (HW Set 10): 4.6 - 4; 4.7 - 4, 8, 12, 18, 20
  • Suggested additional exercises for this lecture (optional):
    4.7 - 1, 7, 14, 15, 16, 21