Spring 2011 Calculus III

Mathematics V1201 sections 008 and 009

Last updated on Apr. 26, 2011.

Course Schedule

Section 008: Tuesday and Thursday, 1:10 pm–2:25 pm; 520 Mathematics Building
Section 009: Tuesday and Thursday, 2:40 pm–3:55 pm; 203 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: Tuesday 4:30 pm–5:30 pm and Friday 3:30 pm–4:30 pm, in instructor's office

Teaching Assistants

Section 008: Yuxiao Huang Email: yh2419 at columbia dot edu; Help Room Hours: Monday and Thursday, 4 pm–5 pm
Section 009: Soo Youn Lim Email: sl3004 at columbia dot edu; Help Room Hours: Thursday 4 pm–6 pm

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–5 pm Friday (detailed schedule of who will be staffing the room)
Location: Milbank 333 on the Barnard campus

Textbook

Calculus: Early Transcendentals, by James Stewart, 6th edition, Thomson Brooks/Cole, 2008.
The book is available at the Columbia University Bookstore.
The primary objective of the course is to cover Chapters 12 through 14 of the book. Chapters 1 through 5 (Calculus I) are prerequisites for Calculus III.

Grades

The overall course grade is determined as follows:

• Homework (20%):
  There will be weekly problem sets, which can be found below, due at 4:00 pm on Tuesdays.
  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%): Thursday February 17, in class
• Midterm 2 (20%): Tuesday March 22, in class
• Final Exam (40%):
  Section 008: Tuesday May 10, 1:10 pm–4:00 pm, Math 520
  Section 009: Thursday May 12, 1:10 pm–4:00 pm, Math 203
  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. Statistics will be posted here.

Syllabus

This syllabus is subject to change.

Date	Topic	Reading	Homework
Jan. 18	rectangular coordinate system	12.1	#1 due on Jan. 25 12.1: 4, 10, 14, 18; 12.2: 1, 4, 8, 20, 30, 40
Jan. 20	vectors	12.2
Jan. 25	the dot product	12.3	#2 due on Feb. 1 12.3: 2, 24, 34, 40, 50; 12.4: 4, 13, 28, 32, 45
Jan. 27	the cross product	12.4
Feb. 1	lines and planes	12.5	#3 due on Feb. 8 10.5: 28, 54; 12.5: 10, 20, 34, 48, 60, 66, 76; 12.6: 8
Feb. 3	Cramer's rule, cylinders, cones, conics	10.5
Feb. 8	quadric surfaces	12.6	#4 due on Feb. 22 12.6: 34, 36, 46, 50; Appendix H: 10, 12, 32, 39, 46
Feb. 10	polar, cylindrical and spherical coordinate systems	10.3, first part of 15.7, first part of 15.8
Feb. 15	complex numbers and complex exponentials	Appendix H
Feb. 17	Midterm 1: covers Chapter 12
Feb. 22	hyperbolic functions, vector functions and complex-valued functions	3.11, 10.1, 13.1	#5 due on Mar. 1 13.1: 6, 28, 38; 13.2: 10, 15, 26, 34, 38, 39; Appendix H: 49
Feb. 24	calculus of vector functions and complex-valued functions	13.2
Mar. 1	space curves	13.3	#6 due on Mar. 8 13.3: 6, 16, 18, 46, 49, 58; 13.4: 6, 16, 22, 38
Mar. 3	motion in space	13.4
Mar. 8	constant coefficient linear differential equations	17.1	#7 due on Mar. 29 14.1: 10, 18, 56, 60; 14.2: 16, 18, 26, 36, 45; 17.1: 10, 22
Mar. 10	fuctions of several variables	14.1
Mar. 22	Midterm 2: covers Chapter 13 and Appendix H
Mar. 24	limits and continuity	14.2
Mar. 29	partial derivatives	14.3	#8 due on Apr. 5 14.3: 28, 48, 56, 64, 91, 92; 14.4: 4, 14, 30, 42
Mar. 31	differentiation	14.4
Apr. 5	the chain rule	14.5	#9 due on Apr. 19 14.5: 4, 11, 32, 52, 55; 14.6: 6, 16, 22, 37, 50, 64
Apr. 7	Review
Apr. 12	directional derivatives	14.6
Apr. 14	the gradient, local maximum and local minimum	14.7	#10 due on Apr. 26 14.7: 4, 10, 19, 30, 36, 56; 14.8: 6, 18, 46
Apr. 19	absolute maximum and absolute minimum
Apr. 21	Lagrange multipliers	14.8
Apr. 26	topology of Euclidean spaces
Apr. 28	Review

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