MATH 225 |
Advanced Calculus |
Spring 2002 |
Christophe
Golé Burton
316 (585)
3875 Office
hours: Mon 1:30-2:30, Wed 1:30-2:30, Thu 9-10 (Tentative!) |
Text: Vector Calculus by Marsden and Tromba, 4th edition (Freeman)
About this Class: We will begin exploring the theory behind Calculus and
will stress the beautiful and multiple relations between Calculus and Linear
Algebra. The class will involve, among other things, reading and writing
proofs.
Topics covered: Euclidean space, theory of continuity and
differentiation (including the intermediate, mean value and implicit function
theorems) integration (including the change of variable theorem) and vector
calculus (including Stokes’ theorem).
Exams: There will be two midterm exams; the second one will
be a take home. The take home will have two phases: one when you work alone, a
second one when you work in groups. Both phases will be graded; the total grade
will be an average of the two phases. There will also be a self-scheduled final
as well as some short quizzes.
Homework: Homework will be due on Fridays at the beginning of class, and can be assigned up to the Monday of the same week it is due. The assignment will be posted on course info (see below).
Course Info (http://cinfo.smith.edu/): We will be using this web resource to post and
retrieve homework and documents. If you’ve never used Course Info, use
your SS# as both your login and password. If you are not registered in the
class, you won’t have access to the class site. If this is the case, let
me know right away by email so that I can add you on the Course Info list for
this class.
Grading:
What |
When |
% Grade |
Homework and Quizzes |
Weekly and sporadically |
30 |
Exam 1 |
March 4 (In class) |
20 |
Exam 2 |
April 5-12 (take home) |
25 |
Final |
May 7-10 (Self scheduled) |
25 |