MATH 225

Advanced Calculus

                 Spring 2002

 

Christophe Golé

Burton 316

(585) 3875

cgole@math.smith.edu

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).

 

Prerequisites: MTH211 (Linear Algebra) and MTH212 (Multivariate Calculus) or permission of the instructor.

 

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