Spring 2012 Calculus II

Mathematics V1201 Section 006

Last update: Apr. 23, 2012.

Course Schedule
Monday and Wednesday, 1:10 pm–2:25 pm; 312 Mathematics Building
Instructor
Name: Weizhe Zheng
Office: Room 606, Mathematics Building; Phone: 212-854-3003
Email: zheng at math dot columbia dot edu
Office hours: Monday 2:30–3:30 pm and Thursday 2–3 pm
Teaching Assistant
The TA, Jinyoung Chun (Email: jc3592 at columbia dot edu), grades the homework.
Help Room
The Department of Mathematics maintains the Barnard Help Room for students needing help with their college mathematics courses.
Hours: 10 am–10 pm Monday through Thursday, 11 am–4 pm Friday (schedule; Jinyoung is there Wednesday 10 am–noon)
Location: Milbank 333 on the Barnard campus
Textbook
Calculus: Early Transcendentals, by James Stewart, 7th edition, Thomson Brooks/Cole, 2012.
See here for more information on the textbook. WebAssign is not required for this section.
The primary objective of the course is to cover Chapters 7 through 11 of the book. Chapters 1 through 5 (Calculus I) are prerequisites for Calculus II.
Grades
The overall course grade is determined as follows: Homework and exam grades will be posted on CourseWorks' Grade Book.
Syllabus
This syllabus is subject to change.
Date Topic Reading Homework
Jan. 18 Integrals Chapter 5
Jan. 23 Integration by parts 7.1 #1 due on Jan. 30
7.1: 8, 20, 27, 36, 38, 48; 7.2: 2, 6, 22, 43, 68
Jan. 25 Trigonometric integrals 7.2
Jan. 30 Trigonometric substitution 7.3 #2 due on Feb. 6
7.3: 5, 14, 15, 26, 40; 7.4: 7, 22, 30, 40, 56
Feb. 1 Partial fractions 7.4
Feb. 6 Strategy for integration 7.5 #3 due on Feb. 13
7.4: 62; 7.5: 17, 44, 57, 84; 7.8: 20, 33, 56, 57, 75
Feb. 8 Improper integrals 7.8
Feb. 13 Arc length 8.1 #4 due on Feb. 27
8.1: 11, 16; 8.2: 9, 14, 33; 9.1: 3, 13; 9.3: 2, 8, 12
Feb. 15 Midterm 1 (covers Chapter 7 and 8.1)
Feb. 20 Surfaces of revolution 8.2
Feb. 22 Differential equations 9.1
Feb. 27 Separable equations 9.3 #5 due on Mar. 5
9.3: 22, 34; 9.5: 9, 12, 18, 24, 26; 10.1: 24, 33, 42
Feb. 29 Linear equations 9.5
Mar. 5 Parametric equations 10.1, 10.2 #6 due on Mar. 19
10.2: 5, 14, 34, 42, 63; 10.3: 4, 6, 24, 54, 57
Mar. 7 Polar coordinates 10.3, 10.4
Mar. 19 Conic sections 10.5 #7 due on Mar. 26
10.4: 5, 18, 28, 40, 47; 10.5: 5, 20, 30, 40, 57
Mar. 21 Review
Mar. 26 Midterm 2 (covers Chapters 9 and 10) #8 due on Apr. 2
11.1: 12, 25, 37, 42, 69, 76, 80; 11.2: 3, 15
Mar. 28 Sequences and series 11.1, 11.2
Apr. 2 The integral test 11.3 #9 due on Apr. 9
11.2: 26, 39, 43, 54; 11.3: 10, 29, 34, 45; 11.4: 22, 30, 31
Apr. 4 The comparison tests 11.4
Apr. 9 Alternating series 11.5 #10 due on Apr. 16
11.4: 39; 11.5: 3, 16, 20, 32; 11.6: 15, 19, 22, 36, 37
Apr. 11 Absolute convergence 11.6
Apr. 16 Strategy for testing series 11.7 #11 due on Apr. 23
11.7: 8, 17, 20, 31, 36; 11.8: 8, 21, 24, 30, 37
Apr. 18 Power series 11.8
Apr. 23 Power series (continued) 11.9 #12 due on Apr. 30
11.9: 8, 13, 27, 34, 38; 11.10: 6, 18, 22, 27, 57, 64
Apr. 25 Taylor series 11.10
Apr. 30 Review
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