Fall 2011 Calculus III

Mathematics V1201 section 010

Last update: Dec. 1, 2011.

Course Schedule

Tuesday and Thursday, 4:10 pm–5:25 pm; 520 Mathematics Building

Instructor

Name: Weizhe Zheng (zh is pronouced as the j in judge)
Office: Room 606, Mathematics Building; Phone: 212-854-3003
Email: zheng at math dot columbia dot edu
Office hours: Monday and Thursday, 3pm–4pm, in instructor's office

Teaching Assistant

Stefan Countryman Email: stc2117 at columbia dot edu; Help Room Hours: Tuesday 4pm–6pm

Help Room

The Department of Mathematics maintains the Barnard Help Room for students needing help with their college mathematics courses.
Hours: 10 am–6 pm Monday through Thursday, 1 pm–4 pm Friday (subject to change; check detailed schedule before going)
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 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 4:10 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 Class Files on CourseWorks.
Midterm 1 (20%): Thursday October 6, in class
Midterm 2 (20%): Tuesday November 1, in class
Final Exam (40%): Tuesday December 20, 4:10 pm–7:00 pm, Math 520
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 Class Files on CourseWorks.

Homework and exam grades will be posted on CourseWorks. Statistics will be posted here.

Syllabus

This syllabus is subject to change.

Date	Topic	Reading	Homework
Date	Topic	Reading	Due Date	7e	6e (problems marked with bis are available on courseworks)
Sep. 6	rectangular coordinate system	12.1	#1 due on Sep. 13	12.1: 4, 10, 14, 17, 36; 12.2: 1, 4, 22, 34, 51	12.1: 4, 10bis, 14, 17, 34; 12.2: 1, 4bis, 20, 30, 45
Sep. 8	vectors	12.2	#1 due on Sep. 13	12.1: 4, 10, 14, 17, 36; 12.2: 1, 4, 22, 34, 51
Sep. 13	the dot product	12.3	#2 due on Sep. 20	12.3: 3, 24, 38, 44, 58; 12.4: 4, 13 (a, b, c, e, f), 28, 32, 45	12.3: 3, 24, 34, 40, 54; 12.4: 4, 13 (a, b, c, e, f), 28, 32, 43
Sep. 15	the cross product	12.4	#2 due on Sep. 20
Sep. 20	lines and planes	12.5	#3 due on Sep. 27	10.5: 28, 54; 12.5: 10, 21, 34, 48, 57, 66, 78; 12.6: 1	10.5: 28, 54; 12.5: 10, 21bis, 34, 46, 55, 64, 76; 12.6: 1
Sep. 22	Cramer's rule, cylinders, cones, conics	10.5	#3 due on Sep. 27
Sep. 27	quadric surfaces	12.6	#4 due on Oct. 11	12.6: 21, 36, 43, 46, 50; Appendix H: 10, 12, 32, 39, 46
Sep. 29	polar, cylindrical and spherical coordinate systems	10.3, first part of 15.7, first part of 15.8
Oct. 4	complex numbers and complex exponentials	Appendix H
Oct. 6	Midterm 1: covers Chapter 12
Oct. 11	hyperbolic functions, quaternions	3.11	#5 due on Oct. 18	13.1: 2, 3, 30, 42; 13.2: 10, 15, 24, 36, 41; Appendix H: 49	13.1: 2, 5, 28, 38; 13.2: 10, 15, 24, 34, 39; Appendix H: 49
Oct. 13	calculus of vector functions and complex-valued functions	10.1, 13.1, 13.2	#5 due on Oct. 18
Oct. 18	space curves	13.3	#6 due on Oct. 25	13.2: 53; 13.3: 6, 16, 18, 31, 48, 50; 13.4: 5, 16, 22	13.2: 49; 13.3: 6, 16, 18, 31, 44, 46; 13.4: 5, 16, 22
Oct. 20	motion in space	13.4	#6 due on Oct. 25
Oct. 25	constant coefficient linear differential equations	17.1	#7 due on Thursday Nov. 10	14.1: 10, 20, 60, 64; 14.2: 16, 18, 26, 45; 17.1: 5, 18	14.1: 10bis, 18, 56, 60; 14.2: 16, 18, 26, 45; 17.1: 5, 18bis
Oct. 27	functions of several variables	14.1
Nov. 1	Midterm 2: covers Chapter 13 and Appendix H
Nov. 3	limits and continuity	14.2
Nov. 10	partial derivatives	14.3	#8 due on Nov. 22	14.3: 28, 50, 57, 69, 97, 98; 14.4: 2, 14, 29, 42	14.3: 22, 48bis, 55, 67, 91, 92; 14.4: 2, 14, 29, 42
Nov. 15	differentiation	14.4	#8 due on Nov. 22	14.3: 28, 50, 57, 69, 97, 98; 14.4: 2, 14, 29, 42
Nov. 17	the chain rule	14.5	#9 due on Nov. 29	14.5: 4, 11, 34, 52, 55; 14.6: 5, 16, 24, 37, 50	14.5: 4, 11, 34bis, 52, 55; 14.6: 5, 16, 24, 37, 50
Nov. 22	directional derivatives	14.6	#9 due on Nov. 29	14.5: 4, 11, 34, 52, 55; 14.6: 5, 16, 24, 37, 50	14.5: 4, 11, 34bis, 52, 55; 14.6: 5, 16, 24, 37, 50
Nov. 29	the gradient, local maximum and local minimum	14.7	#10 due on Thursday Dec. 8	14.7: 4, 12, 19, 35, 41, 56; 14.8: 6, 16, 21, 47	14.7: 4, 12, 19, 35, 41, 56; 14.8: 6, 16, 19, 45
Dec. 1	absolute maximum and absolute minimum	14.7
Dec. 6	Lagrange multipliers	14.8
Dec. 8	Review

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