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Math 224 Final, Spring 1997 past exam & answer key

University of Washington Math 224 (Advanced Multivariable Calculus), John M. Lee. From Math 324, which UW renumbered Math 224 in 2021. Final exam in Prof. Lee's Section B, Spring 1997.

What each problem tests

  1. Chain Rule, Directional Derivatives & Gradient · 20 ptsGradient fields, Flow lines
  2. Parametric Surfaces & Surface Integrals · 20 ptsParametric surfaces, Normal vectors
  3. Triple Integrals · 20 ptsSetting up triple integrals
  4. Stokes' and Divergence Theorems · 20 ptsLine integrals, Stokes' theorem
  5. Curl and Divergence · 20 ptsCurl, Circulation
  6. Vector Fields & Line Integrals · 20 ptsConservative fields, Curl test
  7. Parametric Surfaces & Surface Integrals · 20 ptsFlux, Estimating integrals
  8. Stokes' and Divergence Theorems · 20 ptsFlux, Divergence theorem

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