Week |
Topic |
Remarks |
Tutorial topic |
Week 0 Sept 9 - 10 |
Introduction |
Take the diagnostic test
this weekend. |
Introduction to WebAssign (optional) |
Week 1 Sept 13 - 17 |
The concept of the integral 5.1, 5.2, 5.3 |
Diagnostic test due Tuesday, 14
September. |
Integral as a function |
Week 2 Sept 20 - 24 |
Integration as reverse of
differentiation; review of derivatives. 5.4, 3.1, 3.2, 3.3. |
Homework for Week 1 due Tuesday,
21 September. |
Integral as antiderivative |
Week 3 Sept 27 - Oct 1 |
Chain rule; integration by substitution. 3.4, 5.5 |
Homework for Week 2 due Tuesday, 28 September. | Prepare for Midterm 1. Assigned problems: p390 #72, p408 #82. Due 5pm Friday, 1 Oct for Tutorial 1, 8pm Monday, 4 Oct for Tutorials 2 and 3. |
Week 4 Oct 4 - 8 |
Integration by parts. 7.1 |
Homework for Week 3 due Tuesday,
5 October. Midterm 1 Thursday, 7 October. See Announcements for times and rooms. Midterm 1 covers up to integration by substitution. |
No tutorial 8, 11 October. |
Week 5 Oct 11 - 15 |
Trigonometric integration. 7.2, 7.3 |
Homework for Week 4 due Tuesday,
12 October. Monday is a holiday for Thanksgiving. |
Techniques of integration:
parts, trig integrals |
Week 6 Oct 18 - 22 |
Integration using partial fractions 7.4 |
Homework for Week 5 due Tuesday, 19 October. | Partial fractions |
Week 7 Oct 25 - 29 |
Integration strategies. 7.5, 7.7 |
Homework for Week 6 due Wednesday, 27 October. | Overview of integration |
Week 8 Nov 1 - 5 |
Applications of differentiation: the shape of a curve. 4.1, 4.2, 4.3, |
Homework for Week 7 due Wednesday, 3 November. | Prepare for Midterm 2. Assigned problems: p.519 #22, 32 Due 8pm Friday, 5 Nov for Tutorial 1, 8pm Monday, 8 Nov for Tutorials 2 and 3. |
Week 9 Nov 8 - 12 |
Applications of differentiation:
L'Hopital's rule 4.4, 4.5 |
Homework for Week 8 due
Wednesday, 10 November. Midterm 2 Thursday, 11 November. See Announcements for times and rooms. |
Curve sketching. |
Week 10 Nov 15 - 19 |
Applications of differentiation:
newton's method, optimization. 4.7, 4.8 |
Homework for Week 9 due Wednesday, 16 November. | Optimization techniques |
Week 11 Nov 22 - 26 |
Applications of integration:
area/arc length. 6.1, 8.1 |
Homework for Week 10 due Wednesday, 23 November. | Area problems |
Week 12 Nov 29 - Dec 3 |
Applications of integration: volumes. 6.2, 6.3, 8.2 |
Homework for Week 11 due Wednesday, 30 November. | Prepare for Final. Assigned
problems: p348 #18, 52. Due 8pm Friday, 3 Dec for Tutorial 1, 8pm Monday, 6 Dec for Tutorials 2 and 3. |
Homework for Week 12 due Wednesday, 8 December (optional, but
homework grade is based on your ten
best marks, including this one).
Final Exam Thursday December 16, 19:30-22:30.