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 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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