100-level Mathematics Revision Exercises

Functions of Two Variables

These revision exercises cover functions of two variables, including understanding contours (level curves), finding partial derivatives, and finding and determining the nature of critical points. Worksheets 1-4 are taught in MATH108 and worksheets 5-7 are taught in MATH109.

  1. Contours or level curves (solutions)
  2. Partial derivatives (solutions)
  3. Critical points (solutions)
  4. Revision: Critical points (solutions)
  5. Chain rule (solutions)
  6. Directional derivatives and gradient (solutions)
  7. Revision: Functions of two variables (solutions)

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