Math 221 Section 04
Spring
2007
Course
webpage: http://www.math.tulane.edu/~mjoyce/math221spring07.html
Instructor: Michael Joyce
Meeting Time: MWF 2:00 - 2:50, R 8:00 - 9:20
Location: Boggs 240 (MWF), Gibson 310 (R)
TA: Olaf Klinke
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 Thursday Februrary 15 (covering Chapters 12 and 13); Thursday March 8
(covering Chapter 14); and Thursday April 5 (covering Chapter 15). (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 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 carefully grade a select number of problems (usually
around 5), and this will be weighted as 10% of your grade. The weekly
assignments are given below.
Quizzes: Each Thursday 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. Klinke.
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 Mr. Klinke 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 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. 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