Analysis 3 -- Spring 1997

Analysis 3 is a one-semester introduction to multivariable differential and integral calculus. The topics covered include
  1. Algebra and geometry of vectors in the plane and space
  2. Parametric curves and motion, vector fields and integral curves
  3. Limits and continuity for functions of several varialbles
  4. Directional and partial derivatives
  5. Differentiability
  6. Critical points, optimization
  7. Constrained optimization, Lagrange multipliers
  8. Double and triple integrals
  9. Polar, cylindrical, spherical coordinates
  10. (Line integrals)
  11. (Green's Theorem)
Text: Damiano and Freije, Multivariable Calculus (with Collaborative Learning Manual)
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