john a. lind

Reed College

math 202 vector calculus // fall 2017

MWF 11:00-11:50 in Physics 240A

Office Hours: M 12:10-13:00, Th 15:00-16:30, F 12:10-13:00 in Library 390; also by appointment
Math Help Center: SuMTWTh 19:00-21:00, in Library 389

Syllabus
Solutions to the homework (available via Reed proxy).

  • Week 1
  • M 8/28: §2.2 Euclidean space and the inner product
  • W 8/30: §2.2, 2.3 angles and sequences
  • F 9/1: §2.3 sequences and continuous mappings

  • Week 2
  • W 9/6: §2.4 limit points and closed sets [HW #1 DUE]
  • F 9/8: §2.4 bounded sets, compact sets [deadline to add course]

  • Week 3
  • M 9/11: §2.4 compact sets and continuity
  • W 9/13: §3.5, 3.6 the determinant and its universal characterization [HW #2 DUE]
  • F 9/15: §3.8, 3.9 the determinant, volume and orientation

  • Week 4
  • M 9/18: §3.10 the cross product, lines and planes in R^3
  • W 9/20: §4.1, 4.2 what is the derivative? [HW #3 DUE]
  • F 9/22: §4.3 the derivative is the best linear approximation

  • Week 5
  • M 9/25: §4.3 more on the derivative
  • W 9/27: §4.5 calculating the derivative [HW #4 DUE]
  • F 9/29: §4.4, 4.5 the chain rule and criteria for differentiability

  • Week 6
  • M 10/2: §4.5 more on the criteria for differentiability
  • W 10/4: §4.6, 4.7 higher order partial derivatives and extreme values [HW #5 DUE]
  • F 10/6: §4.7 eigenvalues and the second derivative matrix

  • Week 7
  • M 10/9: §4.7 the second derivative test and extreme values
  • W 10/11: §4.7, 4.8 more extreme values, directional derivatives and the gradient [HW #6 DUE]
  • F 10/13: § 4.8, 5.4, 5.5: Lagrange multipliers

Spring Break

  • Week 8
  • M 10/23: §6.1 boxes and partitions
  • W 10/25: §6.2 the definition of the integral
  • F 10/27: §6.3 integration and continuity
  • Week 9
  • M 10/30: §6.3, 6.6 continuous functions are integrable, calculations
  • W 11/1: §6.6 Fubini's theorem and calculations [HW #7 DUE]
  • F 11/3: §6.6 Fubini's theorem and calculations