John R. Steel: Courses
Math 53: Multivariable Calculus
Fall 2012, MW 4:00--5:30, 155 Dwinelle
Instructor: John R. Steel, 717 Evans,
Office Hours: MWTH 11:00-12:00, and by appointment.
E-mail address: steel@math.berkeley.edu
Available documents:
-
Course announcement. pdf
- Homework 1, due 8/30 or 8/31. pdf
- Homework 2, due at discussion section, 9/6 or 9/7.
pdf
- Worksheets. (This is enrichment material that GSIs may
use at discussion section, and you may use if it helps.)
pdf
- Homework 3, due at discussion section, 9/13 or 9/14.
pdf
- Homework 4, due at discussion section 9/21.
pdf
- Proof of the distributive law for cross products.
pdf
- Homework 5, due at discussion section 9/28.
pdf
- List of GSI office hours.
pdf
- Homework 6, due at discussion section 10/05.
pdf
- About the first midterm.
pdf
- Sample first midterm.
pdf
- Homework 7, due at discussion section 10/12.
pdf
- Homework 8, due at discussion section 10/19.
pdf
- Revised first midterm solutions. (There is a small change at
the bottom of page 1.)
pdf
- A short proof of Fubini's theorem.
pdf
- A short proof of Clairaut's theorem.
pdf
- Homework 9, due at discussion section 10/26.
pdf
- Homework 9, due at discussion section 10/26.
pdf
- Homework 10, due at discussion section Monday 11/05. (This is a revision
to the earlier due date.)
pdf
- Second midterm to be held 11/07. Study guide and sample:
pdf
- Some useful formulae. (Understand these well, and how to use them, and you're
in good shape for midterm 2.)
pdf
- Sample true-false questions for midterm 2.
pdf
- Solutions to midterm 2 sample questions. (Don't look until you've
worked them out on your own!)
pdf
- Solutions to midterm 2 sample true-false questions. (Don't look until you've
struggled on your own!)
pdf
- Homework 11, due at discussion section Friday 11/16.
pdf
- Homework 12, due at discussion section Wednesday 11/21.
pdf
- Second midterm solutions.
pdf
- Homework 13, due at discussion section Wednesday 11/30.
pdf
- Homework 14, due at discussion section Wednesday 12/05.
pdf
- Final exam study guide.
pdf
- Sample problems for final.
pdf
- Sample true-false questions for the final.
pdf
- Line integrals vs. surface integrals.
pdf
- Solutions to sample true-false questions for final.
pdf
Last modified: Feb 20 08:38:03 PST
2010