Advanced Calculus II
Class time MWF 12:00 - 12:50
Class location: MATH B0421
Office: Room 4413, Math Building
Office hours: MWF 1:30-2:20
(often also free for a time after class)
MATH 410 with grade of C or better,
and permission of the math department.
Advanced Calculus, Patrick M. Fitzpatrick, Second Edition
I plan to cover essentially the second half of the book
(from Chapter 10 on), except for Ch. 20. . See the projected
schedule of work for more detail.
Course score possible points (quiz and homework scores
will be rescaled to these):
Here is a grading curve:
A 850-1000, B 750-849, C 650-749, D 550-649.
F 0-549. It is possible that the curve
will be relaxed, but it won't be
- 200 Homework
- 120 Quizzes
- 400 Semester exams
- 280 Final Exam
If you know before an exam that you have a schedule conflict,
contact me in advance.
Expectations/philosophy. You are expected to
come to class, do the homework, and most important of all be
actively engaged in trying to understand. Tips for success:
I will use coursemail to email the class. You are responsible for
reading this email. If you aren't getting the email, give me your
email address to add to the mailing.
- Don't fall behind. (Make a regular schedule of work and don't
- Make friends. Help each other. (On homework, it's usually
best to try alone first.)
Academic integrity in this class.
(Follow the link.)
If your religion dictates that you cannot take an exam or
hand in assigned work on a particular date, then contact
me at the beginning of the semester to discuss
alternatives. You are responsible for making these
arrangements at the beginning of the semester.
If you have some disability related to testing under the usual timed,
in-class conditions, you may contact the office of Disabled Students
Services (DSS) in Shoemaker. If they assess you as meriting private
conditions and/or extra time, then you may arrange to take your tests
at DSS, with extra time as they indicate. You must arrange this well in
advance of a test (in particular: no retakes). Click to
Disability Support Services for further information.
The course MATH 411.
Success in MATH 411 requires a personal immersion in the
material and homework.
You have to be willing to struggle with reading and
problems until understanding comes.
By far the greater part
of this will happen outside of class.
I won't cover in class all the things you must read and understand:
In class, we will do some complicated things. But I am thinking
of class more for giving context, interpretation,
extra material, things that
will help the reading and homework, and answering questions.
I am like a coach -- the real work is in you.
There isn't time.
- Usually we don't understand complicated arguments
"in real time" (i.e. as fast as the argument can be presented at a
- It's critical that you learn to read mathematics and make
it your own.
Quizzes will, usually, be short, unannounced and
about material from the
sections of the book started in the previous few class meetings.
The hope is to encourage your reading and activity.
Everyone will have good reasons for missing some class,
and that is addressed as follows:
I'll drop the lowest two quiz scores.
Stokes and Green
I plan to skip the
last chapter (Green-Stokes etc.), because the pace is so fast that
something has to give. This not because this material
is unimportant, but because we have so little time at the end
to do it justice.
I strongly recommend the little
paperback "Calculus on Manifolds" of Spivak, which has
some overlap with 411 but gives the treatment of
Green-Stokes etc. I'd like to have time for.
This is also the text for the course MATH 437 taught this spring
2013 by Professor Bill Goldman, one of our best, TuTh 9:30-10:45.
If you are considering graduate school in math or physics,
then I strongly recommend you consider
adding this course (if you're not in it already).
Home page of M. Boyle