110.109 Calculus II: FALL 2004
Syllabus Sections and office hours Exam Dates
§
Notes on integration.
§ Special trigonometric substitutions.
§ Practice problems for section 8.4 (special substitutions). Tools. Solutions.
o
Week 2 (Sep 13) polar coordinates (9.3-9.5). Notes.
o
Week 3
(Sep 20) polar cords (contd.), parametric curves (9.6). This week’s quiz:
9.4-9.5.
§
Graph generator. This is
an interesting webpage which allows you to draw parametric and polar curves.
o Week 4 (Sep 27) this week quiz: 9.6-9.8.
o
Week 5
(Oct. 4) Differential equations (Chap 18).
§
The
reduced equation of order two [notes].
§
The complete equation of
order two [notes].
§
Example with Wronskian.
o
Week 6
(Oct 11) Midterm exam
§ Midterm solutions [M1-sol.pdf]
o
Week 7 (Oct.
18) Convergent sequences (10.1-10.4).
§
Notes
on convergent sequences.
o
Week 8
(Oct 25) L’Hopital rule (10.5-10.6).
o
Week 9
(Nov 1) Series (11.1-11.2).
§
Outline
of lectures [week 9].
o
Week 10
(Nov 8) Convergence tests for positive series (11.3).
§
Outline
of lectures [week 10] (updated).
§
Some
important limits [important limits].
§ Convergence tests for positive series [convergence tests].
o
Week 11
(Nov 15) Second Midterm exam.
§
Outline
of Wednesday lecture [week 11].
§
Midterm
solutions [M2-sol.pdf]
o
Week 12
(Nov 22) [Thanksgiving week]
o
Week 13
(Nov 29)
§
Slides
on
o
Week 14 (Dec
6,7) Power series (11.7-8).
§
Slides
on 11.7 [dec_6_lecture]
§
Notes
on 11.7 [11.7-lect.pdf]
§
Slides
on 11.8 [dec_7_lecture]
§
Notes
on 11.8 [11.8-lect.pdf]
o
Challenge
problem.
o
o
Dec. 8: Review session. Slides.
o
Final Exam material.