Class meets: MWF 11:00-11:50am in Herring
Hall 100
Office Hours: M10:00-10:50am in HB 408, W 3:30-5:00pm in HB 408, Th
2:00-3:30pm, in HB 423, or by appointment
TA Office Hours: W1:00-3:00pm and Th 1:00-2:00pm in HB B14
Help Sessions: Tuesdays 7:00-9:00pm in SST 106 (HZ AMP on the Tuesdays
before the midterms) and Thursdays 7:00-9:00pm in ABL 131
Teaching Assistants: Robert Vance, Diego Vela, Arunima Ray Homework: generally due
Fridays, see OWL-Space
for assignments
Textbook
The textbook for the class is Vector
Calculus (5th edition), by Marsden and Tromba, ISBN 9780716749929. This is the
same text as was used last year, so it can most likely be purchased
used from the campus
book store. I would strongly recommend you avoid earlier editions,
as homework problems will be assigned by number from the book.
Course Description
This course covers differential and
integral calculus in several variables. Topics include partial
derivatives, gradient, divergence, curl, Lagrange multipliers, multiple
integrals, line integrals, vector fields, Green's theorem, Stokes's
theorem, and Gauss's theorem. Here is a tentative
schedule for the course.
The prerequisite for this class is single-variable calculus (Math 101
and 102). This
class is independent of Math 211, and Math 211 and 212 may be taken in
any order or concurrently. (It is not possible to get credit for
both Math 212 and Math 221/222 however.)
Grades
Your grade in the class will be based on the following weights, where a
lowest 20% item will be dropped:
Homework
20%
Midterm 1: September 22 at 7:00pm in KCK 100
20%
Midterm 2: October 20 at 7:00pm in KCK 100
20%
Midterm 3: November 17 at 7:00pm
in KCK 100
20%
Final Exam: December 8 at 7:00pm in HRG 100 for A-M,
ABL 131 for N-Z
2x 20%
In theory, this means you could get an A+ in this class without
doing any of the homework; if that sounds like a good idea to you,
please come see me as soon as possible.
Homework
Homeworks will be put up on OWL-Space
and are due on Fridays by 4pm. You must turn in your assignment in
class, or place it in the
Math 212 inbox on the 2nd floor of Herman
Brown (next to HB220).
Late homework will not be accepted even under most special
circumstances. To compensate for this firm policy against late
homework,
the two lowest homework scores will not count towards your homework
average.
Your homework solutions should be legible, and each problem should
be
worked
out in detail with the final answer clearly indicated. If you choose
to type up your homework solutions on a computer, I would strongly
suggest learning to use L^{a}T_{e}χ.
You may use a
calculator or computer algebra program to assist you on the
homework, but you must still write up complete solutions showing all
the steps. Remember also that you will not be able to use
a calculator on the exams.
Feel free to check the your answers
using the answers to odd-numbered exercises at the end of the book, but
you should not look up homework problems in the Student Study Guide with Solutions for
Vector Calculus
until after you've turned in the homework (nor should you look on the
internet for specific homework problems, though you're welcome to read
about a mathematical topic on a site like Wikipedia with no relation to
Marsden & Tromba).
Please staple
your homework and write your name and the assignment number on the
front
page. You are welcome to work together with other students on your
homeworks, but your write-up must be your own and you should list on
your homework the names
of any other students you worked with.
Exams
There will be three midterm exams and one comprehensive final
exam (with an emphasis on material covered after the third
midterm). All exams are closed-book and closed-notes and are
subject to the
Rice University Honor Code. You will not be allowed to use a
calculator on the exams.
The midterm exams are scheduled for 7:00pm on 9/22, 10/20, and 11/17;
if you have a conflict at any of these times, please let me know as
soon as possible.
The final exam is scheduled for 7:00-10:00pm on December 8, in HRG 100
for last names A-M and ABL 131 for N-Z. It is
the policy of the mathematics department that no final may be
given early to accommodate student travel plans.
Sage is a free and open-source computer program for mathematics.
You can download it for your
own computer or try it online.
Here are the sage notebooks I used to produce the computer-generated
pictures in class:
If you have a documented disability that will impact your work in
this class, please contact me to discuss your needs. Additionally, you
will
need to register with the Disability
Support Services Office in the
Allen
Center.