Math 221H Section 01
Spring
2008
Course
webpage: http://www.math.tulane.edu/~mjoyce/math221spring08.html
Instructor: Michael Joyce
Meeting Time: MWF 11:00 - 11:50, T 11:00 - 12:20
Location: Gibson 414 (MWF and T)
TA: Xianfeng Yang
Course content: This course studies functions of several
variables, concretely focusing on those of two or three variables where we
can use our geometric intuition to understand the situation more clearly.
The focus of the course is to understand what it means to differentiate
and integrate functions of several variables and to generalize the
Fundamental Theorem of Calculus to functions of several variables. The
course will focus on both theoretical understanding of the concepts
involved and application of the concepts to solve concrete problems.
Textbook: Calculus: Early Transcendentals, by Ian Stewart,
sixth edition. We will cover Chapters 12-16 in the book, possibly
omitting a few sections due to time constraints.
Attendance: Students are expected to attend all class meetings.
Exams: There will be two in-class exams during the semester, each
of which will be weighted 20% toward your final grade. They are scheduled
for Tuesday, February 19 and Tuesday, April 8. (These
dates could conceivably change, in which case I will make an announcement
in class.)
Final Exam: The final exam will take place on Friday, May 2
from 8:00 AM until 12:00 PM in a location that will be announced at the
end of the semester. You must take the final exam at the scheduled time.
The final exam will be weighted as 40% of your final grade. The final
exam will be cumulative.
Homework: Weekly homework assignments are an essential part of the
course. A few problems will be selected for you to write up and submit
during the recitation meeting. The rest of the problems are not to be
done, but not turned in. Homework will count for 10% of your grade. The
weekly assignments are given below.
Quizzes: Each Tuesday during recitation, a short (15-20 minute)
quiz will be administered, based on the homework assignment that was due
that day. These quizzes will be weighted as 10% of your final grade.
Recitation meetings: During recitation meetings, you will have the
opportunity to go over homework problems and other questions you have
regarding the material covered in the past week with the TA, Mr. Yang.
During recitation, a short quiz will be administered based on the homework
problems due that week.
A note on grading: The above weighting of the homework, quizzes,
in-class exams, and final exams is only approximate.
Academic honesty: All students are expected to comply with the
Honor Code of
the Liberal Arts and Sciences. I take academic honesty very
seriously and will take appropriate steps regarding all perceived
violations.
Additional resources: If you are having trouble with material
in the course or have any questions about the material covered, please
come see me or Mr. Yang during office hours or set up an appointment to
meet at a different time. We are here to help! In addition, the tutoring center offers
help for students taking Math 221. Consult their webpage for their
schedule of services and contact information. Finally, the mathematics
department runs a help desk on Mondays through Thursdays from 5:00 to 7:00
in Gibson 426, with graduate students on hand to assist students in any
calculus course.
Calculator policy: Calculators that do not have the capability of
performing symbolic algebra calculations are perfectly acceptable for use
in the course on homeworks and quizzes. However, calculators will NOT be
permitted on exams, so it is to your advantage to make sure you can do
problems without the aid of a calculator. (Please note: Some homework
problems will require, or at least be made much easier with, the use of a
calculator. Exam problems will be designed to avoid these computational
headaches.) Use a calculator to speed up the rate at which you do
calculations, but remember that a calculator is useless if you don't have
sufficient conceptual mastery of the material to perform the right
computations with your calculator.
A final word: This course is challenging and will require a lot
of effort on your part. If you don't regularly set aside time to study
your notes, read the text, and do the homework problems, you will struggle
in this course. There are ample resources available for you to succeed in
this course, as long as you are willing to put in the blood, sweat, and
tears to succeed.
Homework assignments: Problems to be submitted for grading are in
bold and followed by an exclamation point. Due dates for homework will be
announced in class.
12.1: 8!, 9, 10, 13, 28!, 30, 31, 34, 39
12.2: 9, 14, 17, 20!, 27, 41
12.3: 5, 8, 9, 12, 16!, 23, 25!, 45, 51, 53!
12.4: 1, 3, 6, 15, 19!, 29, 32, 33, 43!, 44!
12.5: 4, 5, 12, 13, 14!, 19, 23, 28, 31!, 34!,
37, 44, 52, 59!, 69
13.1: 1, 4, 6!, 11, 17, 22, 23, 29, 36!, 37, 38
13.2: 4, 12, 16, 19, 26, 34!, 47, 49!, 51
13.3: 2, 3!, 4!, 5, 59!
13.4: 10, 16, 21!, 25, 28, 29!
14.1: 11, 17, 18!, 19, 23, 27, 29, 30, 38, 43!, 45,
61
14.2: 9, 12, 13!, 14, 18!, 39!, 40
14.3: 16, 21!, 27, 28, 30, 37!, 40, 46, 54, 60!,
64
14.4: 3, 4, 12, 13, 21!, 26, 28, 34, 35, 38!
14.5: 3, 5, 7, 8, 15, 21, 24!, 39, 44!, 49
14.6: 7, 8, 12, 15, 22!, 25, 29, 32, 41!, 44,
52!, 53, 61
14.7: 6, 9!, 12, 29, 31, 34, 35!, 39, 43, 46,
50!
14.8: 5, 9!, 14, 27, 31, 34, 38!, 45, 46!
15.1: 2, 3, 11, 12!
15.2: 6, 9, 14, 17, 20, 21, 22!, 27, 30!, 36
15.3: 10, 15!, 16, 19, 23!, 26, 32, 39, 42, 44, 46,
47!, 48, 55, 60
15.4: 7, 9, 11, 15!, 17, 19, 20, 22, 26!, 31, 32,
36!
15.5: 8, 11!, 28
15.6: 11, 14!, 17, 19, 22, 30, 31!, 33, 35, 46
15.7: 5, 6, 7, 8, 11, 12!, 17, 19!, 20, 25,
28!
15.8: 5, 6, 7, 8, 12!, 14, 22, 24, 26, 28, 30!,
35!, 39, 44
15.9: 2, 4, 7, 8, 10, 11, 14, 15!, 20, 23!
16.1: 5, 8, 11, 12!, 15, 16, 21, 23!, 29, 30,
35!, 36
16.2: 2, 7, 12, 14!, 16, 19, 22, 27!, 39, 43!,
44
16.3: 3, 6, 7, 13, 16!, 17, 22, 27, 33!
16.4: 2, 4!, 6, 8, 9, 12, 13!, 21, 22!
16.5: 2, 5!, 7, 9, 14, 15, 17, 25, 31, 38!
16.6: 13, 14, 20, 23, 25, 26!, 34, 38, 42!, 45, 46,
58
16.7: 5, 6, 8, 10!, 12, 17, 19, 20, 23!, 24, 25, 30,
47!
16.8: 2!, 3, 6, 7, 8, 10!, 11a, 14, 17!
16.9: 2, 4, 6!, 7, 9, 10!, 13, 17, 18!