Math 234

Spring 2008

A multivariable calculus course out of Thomas, taught by Andrei Caldararu. I was the teaching assistant for a Wisconsin Emerging Scholars section, for which I wrote worksheets:

• Worksheet 1: review of vectors.
• Worksheet 2: a better way to calculate T, N, and B.
• Worksheet 3: unit speed curves.
• Worksheet 4: sketching surfaces.
• Worksheet 5: partial derivatives as slopes.
• Worksheet 6: our favorite discontinuous function.
• Worksheet 7: open sets and continuity.
• Worksheet 8: differentiability.
• Worksheet 9: the chain rule and gradient.
• Worksheet 10: min/max problems.
• Worksheet 11: Lagrange multipliers.
• Worksheet 12: double integrals.
• Worksheet 13: changing the order of integration.
• Worksheet 14: the Gamma function.
• Worksheet 15: polar coordinates.
• Worksheet 16: the hypercube.
• Worksheet 17: line integrals.
• Worksheet 18: conservative vector fields.
• Worksheet 19: Green’s theorem.
• Worksheet 20: the planimeter.
• Worksheet 21: surface integrals.
• Worksheet 22: parametrized surfaces.
• Worksheet 23: Stokes’ and the divergence theorems.