Calculus II
S1102 Section
003 Summer 2006
Time and Place: MTWR
Instructor: Qi Li
Teaching Assistant: Evan Fink
Office: 408 Mathematics
Office hours: ??
Email: liqi at math.columbia.edu
Textbook : Calculus Early Transcendentals, Fifth Edition, by
James Stewart
Syllabus:
The homework is due Monday in class.
The midterm will be on ??.
The final exam will be on ??.
Grading
The exams count for 70% of the final grade. The division is: 40% the
final and 30% midterm. No make up exams will be given.
20% for the weekly homework. 10% for the quiz. The lowest grade of the
homework will be dropped. Late homework will NOT be accepted.
Help
The Math
Help Room is 406 Math on Columbia Campus and the Barnard Help Room
is 333 Milbank Hall on Barnard Campus. Graduate students will answer your
questions.
|
Day |
Topic |
Section |
Recommended Problems |
Homework/ Practice Exams |
|
|
Week 1 |
Ch 7 |
Techniques of Integration |
|
|
July 5 |
Review of Integrals |
Ch 5 |
5.4:5,8,13,14 5.5:7,12,36,27 |
5.5:28,32,58,59 |
|
July 6 |
Integration by Parts |
7.1 |
7.1:
3,9,10,13,20,23,33,46 |
7.1:4,26,36,45 |
|
|
Week 2 |
Ch 7 |
Techniques of Integration (cont.) |
|
|
July 10 |
Trigonometric Integrals |
7.2 |
7.2: 3, 7, 23, 29, 41, 53, 59 |
7.2:14, 30, 42, 44,
48 |
|
July 11 |
Radicals (Trigonometric Substitution) |
7.3 |
7.3:1,3,7,21,23,25,29 |
7.3:6,11,16,28,34 |
|
July 12 |
Fractions (Partial Fractions) |
7.4 |
7.4: 7,11,15,17,23,25,29,31,43 |
7.4:14,20,25,28,40 |
|
July 13 |
Strategy for Integration |
7.5 |
All Odd #
Problem |
7.5:12,20,32,46 |
|
July 14 |
Improper Integrals |
7.8 |
7.8:7,21,27,31,51,57 |
7.8:14,18,36,52,58 |
|
|
Week 3 |
Ch 8 |
Applications of Integration |
|
|
July 17 |
Applications of integrals 1 (Arc Length) |
8.1 |
8.1:5,11,13,15 |
8.1:2,10,12,14 |
|
July 18 |
Applications of integrals 2 (Area of a surface of revolution) |
8.2 |
8.2:5,9,11,15 |
8.2:6,10,14,16 |
|
July 19 |
Applications of integrals 3 |
8.3 8.4 8.5 |
|
|
|
July 20 |
Sequences and Series |
11.1 11.2 |
11.1:17,31,37,55 11.2:9,17,23,31,35,41 |
11.1:18,32 11.2:16,24,34,44 |
|
July 21 |
Integral Test |
11.3 |
11.3:7,11,15,19,21,25 |
11.3:8,14,18,20,28 |
|
|
Week 4 |
Ch 11 |
Series |
|
|
July 24 |
Review |
|
||
|
July 25 |
MIDTERM |
|
|
|
|
July 26 |
Comparison Test |
11.4 |
11.4:3,9,15,17,31 |
11.4:8,10,18,22,26 |
|
July 27 |
Alternating Series; Ratio and Root Tests |
11.5, 11.6 |
11.5:3,7,11,13,17 11.6:3,7,11,13,15,19,23,31,33 |
11.5:4,10,14,16 11.6:4,19,24,29,32 |
|
|
Week 5 |
Ch 11 |
Series (cont.) |
|
|
July 31 |
Strategy
for testing series |
11.7 |
All odd
problems |
11.7:4.8.10.18.28.36 |
|
Aug 1 |
Power Series |
11.8, 11.9 |
11.8:3,7,15,17,23,29 11.9:7,9,13,25 |
11.8:6,10,18,24 11.9:6,10,16,24 |
|
Aug 2 |
Taylor Series |
11.10 |
11.10:3,5,13,35,49,55 |
11.10:8,16,28,30,50,58 |
|
Aug 3 |
Problem Session
|
|
|
|
|
|
Week 6 |
Ch 9 |
Diff. Equations |
|
|
Aug 7 |
Differential Equations (1) |
|
|
|
|
Aug 8 |
Differential Equations (2) |
|
|
|
|
Aug 9 |
REVIEW |
|
|
|
|
Aug 10 |
FINAL |
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|