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 (20%):
  There will be weekly problem sets, which can be found below, due at 1:10 pm on Mondays.
  Hand in your homework set in the locked box labeled for the course in the south wing of the 4th floor near room 408 of the Mathmatics Building. Graded homework will be returned in a basket in the south wing of the 6th floor near room 604.
  Late homework will not be graded and will not receive credit. Each student has one free pass on the homework during the semester, meaning that you can not turn it in and there will be no penalty. If you turn in all the homework, I will discard your lowest grade before computing your overall homework grade.
  Solutions will be available as CourseWorks' Class Files.
• Midterm 1 (20%): Wednesday February 15, in class
• Midterm 2 (20%): Monday March 26, in class
• Final Exam (40%): 1:10 pm–4 pm, Monday May 7, Math 312
  Exams will not be rescheduled because of travel arrangements: it is your responsibility to schedule travel appropriately. Makeup exams will be given only under exceptional circumstances and you will need a note from a dean.
  Practice problems for exams will be available as CourseWorks' Class Files.

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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