Simon Fraser University Department of Mathematics
Spring 2004

MATH 252-3: Vector Calculus

Week 2

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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:

    • Homework Set 1 due 14 January
    • Tutorial Sessions this Tuesday, 13 January


Week 2:

  • Lecture 4: 12 January
    Lines and Planes:
    Parametric and non-parametric forms of the equations of lines and planes; orientation of planes; projection onto an orthogonal basis

    Reading: D&S Ch.1 and 5 (1.8, 1.10, 1.11, 5.7, 5.8)
  • Homework Set 1
  • Problems (HW Set 2): 1.8 - 7, 8, 11, 12, 18; 1.10 - 5, 8, 9, 12, 18, 28
  • Suggested additional exercises for this lecture (optional):
    1.8 - 1, 10, 14, 17; 1.10 - 7, 10, 13, 22

  • Lecture 5: 14 January
    Linear Orthogonal Transformations:
    Vectors and matrices, linear transformations; change of coordinates, transformation/Jacobian orthogonal matrix; behaviour of vectors and scalars under coordinate transformations

    Reading: D&S Ch.5 (5.7, 5.8)
  • Homework Set 2
  • Problems (HW Set 2): 5.7 - 15 and additional problems
  • Suggested additional exercises for this lecture (optional):
    5.7 - 1, 4, 10, 12, 13, 14, 18; 5.8 - 4, 14, 15, 19

  • Lecture 6: 16 January
    Vector Product:
    Orthogonal transformation, the dot product as a scalar; vector product, properties, area of parallelogram, applications
    Reading: Notes in Homework Set and D&S Ch. 1 and 5 (5.8, 1.12)
  • Homework Set 2
  • Problems (HW Set 3): 1.12 - 3, 13, 19, 24, 27, 29
  • Suggested additional exercises for this lecture (optional):
    1.12 - 5, 6, 12, 20, 21, 23, 26