Math V1202: Calculus IV

Fall 2007




Schedule of lectures

This schedule is tenative and may be modified as necessary. Please check here for each week's reading and homework.

Date
Reading
Homework
  Sept. 4, 6   15.1-15.3: Double integrals.  HW#1: 
 15.2: 4, 9, 18, 28
 15.3: 2, 13, 20, 44

  Sept. 11, 13   15.4-15.5: Polar coordinates; Applications.  HW#2: 
 15.4: 10, 18, 22, 28
 15.5: 12, 16, 24, 26
 
  Sept. 18, 20   15.6-15.8: Surface area; Triple integrals.  HW#3: 
 15.6: 4, 6
 15.7: 14, 32, 44
 15.8: 8, 24, 26

  Sept. 25, 27   15.9: Change of variables; Midterm review.  15.9 practice problems: 11, 14, 21, 22

  Oct. 2
1st Midterm
 
  Oct. 4   16.1: Vector fields.   None.
  Oct. 9, 11   16.2-16.3: Line Integrals.  HW#4: 
 16.2: 2, 16, 19, 32
 16.3: 5, 6, 16, 22

  Oct. 16, 18   16.4-16.5: Green's theorem; Curl and divergence.  HW#5: 
 16.4: 3, 14, 18
 16.5: 3, 16, 20, 25, 37

  Oct. 23, 25   16.6-16.7: Parametric surfaces; Surface integrals.  HW#6: 
 16.6: 19, 22, 32, 40
 16.7: 7, 18, 28, 40
 
  Oct. 30, Nov. 1   16.7-16.8: Surface integrals; Stoke's theorem.  HW#7: 19
 16.9: 6, 13, 14, 26
 
  Nov. 8   16.9: Divergence theorem.   See HW#7 above.
  Nov. 13   Midterm Review.
  Nov. 15
2nd Midterm

  Nov. 20   Appendix G: Complex numbers.   No HW over Thanksgiving.
  Nov. 27, 29   Complex functions; Cauchy-Riemann equations.
  Lecture notes: Nov. 27
  Lecture notes: Nov. 29
  
  Dec. 4, 6   Contour integrals and Cauchy's theorem; Review.
  Lecture notes: Dec. 4
 
  Dec. 20, 9am
FINAL EXAM