Math 221-H
Section 01
Spring 2007
Course
webpage: http://www.math.tulane.edu/~tamdeberhan/math221spring07.html
Instructor: Tewodros
Amdeberhan
Office: Gibson 401-C
Phone: 862-3428
Office Hours: MWF 10-11a and by appointment
Meeting Time: MWF 11:00 – 12 noon, R 11:00a-12:15p lab
Location: Gibson 414
TA: Hernandez
–Viera, Marian
Office: Gibson 415-H
Phone: 862-3460
Office Hours: M 12 noon – 1:00p and by appointment
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, Fifth edition. We will
cover Chapters 12-16 in the book, omitting a few sections due to time
constraints.
Attendance: Students are expected to
attend all class meetings.
Exams: There will be three
in-class exams during the semester, each of which will be weighted
15% toward your final grade. They are scheduled for Tuesday February
6 (covering Chapters 12 and 13); Tuesday TBA (covering Chapter 14);
and Tuesday TBA (covering Chapter 15). (I will make an announcement
the dates for the latter two, in class.)
Final Exam:
The final exam will take place on Friday, May 4 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 35% of your final grade. The final
exam will be cumulative, but it will be weighted heavily toward
Chapter 16, which will comprise roughly 60% of the exam.
Homework:
Weekly homework assignments are an essential part of the course.
They are collected at the beginning of each recitation meeting. Each
week the TA will grade each homework assignment (usually around 5),
and this will be weighted as 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. Clearly, no
quiz on an exam 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, Ms Marian Hernandez
–Viera. 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. I will also use
my judgment of your improvement through the semester and your effort
to seek extra help on material you are struggling with to adjust your
grade up or down as appropriate.
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 (and given the difficulty
of the material we cover, don't be surprised if you do), please come
see me or Ms. Hernandez
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 4:00 to 5:30 in Dinwiddie, 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. Be
forewarned, however, that my fellow Math 221 instructors and I
reserve the right to disallow the use of calculators for any tests if
we feel that is appropriate. 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 extremely 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 and exam dates:
HW #1 (due 1/25): 12.1 #5, 8, 14, 16, 32, 36, 38, 41; 12.2 #2, 14, 19, 22, 25, 29, 35, 39; 12.3 #1, 5, 7, 10, 14, 15, 20, 23, 26, 27, 51
HW #2 (due 2/1): 12.4 #2, 3, 9, 12, 15, 23, 26, 29, 33, 39; 12.5 #3, 4, 5, 7, 10, 12, 13, 17, 20, 23, 28, 30, 31, 37, 40, 45, 46, 59, 65
HW #3 (due 2/8): 13.1 #1, 4, 17, 19, 22, 34, 35, 36, 40; 13.2 #4, 9, 13, 20, 23, 34, 37, 40; 13.3 #1, 3, 4; 13.4 #3, 11, 15, 18a, 19, 28
Exam #1: Thursday, February 15
HW #4 (due 2/22): 14.1 #1, 6, 17, 23, 26, 30, 37, 40, 53, 59; 14.2 #7, 11, 12; 14.3 #17, 20, 26, 35, 37, 48, 60, 83; 14.4 #1, 3, 4, 12, 17, 24, 29, 35
HW #5 (due 3/1): 14.5 #2, 5, 7, 9, 15, 21, 24, 31, 38, 39, 40; 14.6 #4, 7, 8, 15, 17, 24, 25, 29, 38, 39a, 41a, 47; 14.7 #5, 9, 13, 14, 27, 30, 33, 40, 46; 14.8 #3, 6, 9, 13, 18, 19, 28, 34
Exam #2: Thursday, March 8
HW #6 (due 3/15): 15.1 #3, 5, 11, 12, 13; 15.2 #2, 4, 7, 9, 15, 20, 21, 23, 28, 33; 15.3 #2, 4, 8, 11, 14, 15, 17, 19, 24, 26, 32, 41, 45, 46, 50; 15.4 #5, 6, 9, 10, 13, 17, 19, 21, 29, 32
HW #7 (due 3/29): 15.6 #1, 6, 8, 12; 12.7 #3, 10, 16, 19, 34, 35, 38, 39, 49, 55; 15.7 #5, 8, 11, 15, 18, 19, 28, 34; 15.8 #7, 9, 12, 18, 21, 23, 33, 35
Exam #3: Thursday, April 5
HW #8 (due 4/12): 16.1 #2, 5, 11, 14, 21, 23, 31, 32; 16.2 #2, 8, 10, 17, 19, 20, 21, 22, 23, 25a, 26a, 38, 39; 16.3 #3, 6, 7, 9, 13, 16, 18, 21, 27, 33
HW #9 (due 4/19): 16.4 #1, 2, 3, 7, 8, 9, 10, 13, 14, 16, 17; 16.5 #1, 4, 6, 7, 9, 10, 12, 13, 14, 15, 25, 36; 16.6 #3, 4, 12, 13, 17, 19, 22, 23, 24, 31, 33, 35, 39, 43, 45
HW #10 (due 4/26): 16.7 #5, 8, 17, 19, 20, 21, 22, 23, 24, 25; 16.8 #2, 3, 4, 5, 7, 9, 10, 11a, 18; 16.9 #3, 4, 6, 7, 9, 10, 11, 14, 15, 16, 19