Math 2002 Summer 2008

*** Update: final exams have been marked, and marks are now available. The final exam average was 75%, and the course average was 77%. Exams are available to view Monday August 25th 1-4 in my office.

** Note: From July 30th (Wednesday) onwards, the course will be held in the Dunn Building, Room 304. The midterm and final will also be in this room.

• Course Information

1. July 28th
   • Questions: Double Integrals over Rectangles
   • Questions: Double Integrals over General Regions
   • Practice questions: Section 15.1: #2, 3a, Section 15.2: #15, 17, 19, 21, Section 15.3: #7-18 (odd).
   • Assignment: Double Integrals (Solutions).
2. July 29th
   • Questions: Applications of Double Integrals
   • Questions: Polar coordinates and Double Integrals
   • Practice questions: Section 15.3: #19-28 (odd), Section 15.4: #7-27 (odd), Section 15.5: #3-10 (odd).
3. July 30th
   • Questions: Triple Integrals
   • Questions: Volumes and Mass using Triple Integrals
   • Practice questions: Section 15.6: #9-22 (odd).
   • Assignment: Triple Integrals (Solutions).
4. July 31st
   • Questions: Change of Variables in Double Integrals
   • Questions: Change of Variables in Triple Integrals
   • Practice questions: Section 15.8: #21-29 (odd), Section 15.9: #3, 5, 11, 13, 15, 23
5. August 5th
   • Questions: Line Integrals
   • Questions: Vector Fields and Line Integrals
   • Practice questions: Section 16.1: #11-14, #21,#23, Section 16.2: #3-15 (odd), #19, #21, 39, 41.
   • Assignment: Line Integrals and Vector Fields (Solutions).
6. August 6th
   • Questions: Fundamental Theorem of Line Integrals
   • Questions: Green's Theorem
   • Practice questions: Section 16.3: #3-9 (odd), #13,#15, #17, #21, Section 16.4: #1-14 (odd), #17.
   • Midterm Topics.
7. August 7th
   • Questions: Curl and Divergence
   • Practice questions: Section 16.5: #1-7 (odd), #13-17 (odd).
   • Extra midterm review questions: Chapter 15 Review Exercises, #15-35 (odd), #39, #47, Chapter 16 Review Exercises, #3-17 (odd)
8. August 11th
   • Midterm (Solutions)
9. August 12th
   • Questions: Surfaces
   • Questions: Surface Integrals
   • Practice questions: Section 16.6, #19-25 (odd), 33-47 (odd), Section 16.7, #5-17 (odd).
   • Assignment: Surface Integrals (Solutions).
10. August 13th
    • Questions: Surface Integrals of Vector Fields
    • Questions: Stokes' and Divergence Theorems
    • Practice questions: Section 16.7, #19-29 (odd), #41, Section 16.8, #3, 5, 7, 9, Section 16.9: #5-15 (odd).
11. August 14th
    • Questions: Second Order Linear Differential Equations
    • Questions: Non-homogenous Differential Equations
    • Practice questions: Section 17.1, #1-11 (odd), #17-23 (odd), Section 17.2, #1-9 (odd).
    • Assignment: Differential Equations (Solutions)
12. August 18th
    • Questions: Variation of Parameters
    • Practice questions: Section 17.2, #19-27 (odd), Section 17.4 #3-11 (odd).
    • Final Exam Topics
    • Practice Final
13. August 20th
    • Final Exam (Solutions)