Math 291 - Calculus III

Welcome to Calculus III! This is the place to check for handouts, assignments, and demos.

Handouts

• Syllabus
• Polar coordinates
• Review for exam 1
• Tubes and the TNB frame
• Applied Optimization
• Review for exam 2
• Review for exam 3

Demos

• The trefoil knot: Notebook | HTML
• Polar plots
• Bi-variate functions: Notebook | HTML
• Contour maps and topography: Notebook | HTML
• Contour maps and gradients: Notebook | HTML
• Lagrange multipliers: Notebook | HTML
• Multiple Integrals: Notebook | HTML

Assignments

The textbook assignments are all taken from Vector Calculus by Michael Corral, which is freely available here:
http://www.mecmath.net/.

• Monday, August 17: The pre-req handout
• Wednesday, August 19:
  • Section 1.1: 1, 2, 3, 5
  • Section 1.2: 1, 4, 5
  • Section 1.3: 1, 3, 9
• Friday, August 21: Section 1.3: 18, 21, 22, 25
• Monday, August 24: Section 1.4: 1, 5, 7, 9, 11, 21
• Monday, August 31: Section 1.5: 1-21 odd
• Wednesday, September 9: All problems from the Polar coordinate handout
• Monday, September 21: All problems from the Tubes and the TNB frame handout
• Monday, September 28:
  • Section 2.1: 1-19 odd
  • Section 2.2: 1-27 odd
  Also, for problems 1-7 of section 2.1, you should think about what the graph looks like. You can use 3D graphing software to check your answer.
• Wednesday, September 30: Section 2.3: 1-5
• Friday, October 2: Section 2.4: 1-17
• Monay, October 5: Section 2.5: 1-13
• Friday, October 16: Section 2.7: 1-4
• Monday, October 26: Section 3.1: 1-13
• Monday, November 9: Integration over crazy regions