Syllabus for Calculus II, Math S1102 Section 001
Instructor: Mingmin Shen
Email: mshen@math.columbia.edu
; Office: Math 408; Office Hours: Mon--Thur, 3pm--4pm
Class Time: MTWR 6:15PM---7:50PM
Classroom: Math 307
Textbook: CALCULUS, Early Transcendentals, James Stewart, 6th Edition
TA: So Eun Park, sp2394[at]columbia.edu
Office Hours: See helproom schedule
Method
of Evaluation
Midterm: There will be one midterm and the date of the
midterm is shown below. The midterm will be an in-class one. No make-up will be given
for the midterm.
Homework: Homework problems will be assigned for each lecture.
Homework will be handed in twice a week and due on each Monday and Wednesday before class. There is
a mail box for this class outside Math 410. Please deposit your homework in the box before due time. All homework
will be graded by our TA.
Quiz: There will be at least two quizzes.
Your Final Score = Final Exam (40%) + Midterm (20%) + Homework (30%)
+ Quiz (10%)
I will use coursework
to keep record of your grades, please check it frequently.
Math Help: Help is available from the TAs in
math help room, Math
406.
|
Date |
Topics |
Homework
Problems |
|
5/27 |
Review
of Calculus I; Integration
by parts (7.1) |
7.1: 8, 10, 26, 36, 44, 50 (Due: 5/29) |
|
5/28 |
Trigonometric
integrals (7.2) |
7.2: 2, 12, 14, 34, 56, 64, 68 (Due: 5/29) |
|
5/29 |
Trigonometric
substitution (7.3) |
7.3: 6, 12, 24, 30, 32, 34 (Due: 6/2) |
|
5/30 |
Partial
fractions I (7.4) |
7.4: 2, 4, 14, 28, 32 (Due: 6/2) |
|
6/2 |
Partial
fractions II; Strategy
for computing integrals (7.5) |
7.4: 42, 48, 52, 58 7.5: 18, 42, 64, 68 Due: 6/4 |
|
6/3 |
Approximate
integrals (7.7) |
7.7: 6, 8, 22 (Due: 6/4) |
|
6/4 |
Improper
integrals I (7.8) |
7.8: 2, 6, 14, 18, 24, 38, 42 Due: 6/9 |
|
6/5 |
Improper
integrals II (Comparison
theorems) (7.8) |
7.8: 52, 54, 56, 78 Due: 6/9 |
|
6/9 |
Arc
length; Surface
area of solids of revolution (8.1,
8.2) |
8.1: 12, 16, 20 8.2: 6, 16, 25, 29 Due: 6/11 |
|
6/10 |
Sequences
(11.1) |
11.1: 6, 14, 22, 26, 40, 58, 70 Due: 6/11 |
|
6/11 |
Midterm
(Sections 7.1---8.2) |
|
|
6/12 |
Series
(11.2) |
11.2: 10, 16, 20, 24, 32, 36, 52 Due: 6/18 |
|
6/16 |
Integral
test (11.3) |
11.3: 2, 6, 12, 16, 28, 30, 40 Due: 6/18 |
|
6/17 |
Comparison
test (11.4) |
11.4: 2, 6, 12, 20, 28, 32, 44 Due: 6/18 |
|
6/18 |
Alternating
series (11.5) |
11.5: 4, 8, 14, 18, 24, 36 Due: 6/23 |
|
6/19 |
Absolute
convergence; Ratio
and root tests (11.6) |
11.6: 4, 8, 12, 18, 30, 32 Due: 6/23 |
|
6/23 |
Power
series I (11.8) |
11.8: 6, 8, 14, 26, 30, 38 Due: 6/25 |
|
6/24 |
Power
series II (11.9) |
11.9: 2, 4, 8, 14, 16, 24, 40 Due: 6/25 |
|
6/25 |
Taylor
Series I (11.10) |
11.10: 2, 4, 6, 18, 22, 25 Due: 7/1 |
|
6/26 |
Taylor
Series II (11.10) |
34, 36, 44, 48, 58, 64 Due: 7/1 |
|
6/30 |
Application
of |
11.11: 16, 22, 36 Due: 7/1 |
|
7/1 |
Further
examples and applications |
|
|
7/2 |
Review |
|
|
7/3 |
Final
Exam; 6:15PM---9:00PM,
Math 307 |
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