2008 Fall MATH 203-01
Bulletin Course Description Topology of Rn, continuous functions, uniform convergence, compactness, infinite series, theory of differentiation, and integration. Not open to students who have had Mathematics 139. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title BASIC ANALYSIS I Department MATH Course Number 2008 Fall 203 Section Number 01 Primary Instructor Allard,William K Prerequisites Prerequisite: Mathematics 104. Course Homepage www.math.duke.edu/~wka/math204/
Synopsis of course content
Topology of R^n, continuous functions, uniform convergence, compactness, infinite series, theory of differentiation, and integration. Not open to students who have had Mathematics 139.
Textbooks
There will be two texts; the main one will be my own typeset notes which will appear as links on this page; the other will be
Advanced Calculus of Several Variables,
by C.H. Edwards,Jr.,
Dover Publications, New York, 1995.
This is a soft cover reprint of the 1973 hard-cover
edition. It's real cheap, say 8 bucks and change!
Assignments
Your grade will be based on the weekly assignments. Believe me, they will keep you busy! There will also be an optional project at the end of the semester that would replace some of the homework.
Exams
There will be no exams. Your grade will be based on the
assignments.
Term Papers
You could consider the project mentioned in Assignments above as a term papers. But we don't do term papers in Math, right?
Grade to be based on
Weekly problems sets and optional final project.
Additional Information
his material is rather challenging. I am happy to report that in spite of the challenging nature of the material many of our undergraduates have been equal to the task of dealing well with it. YOU SHOULD NOT TAKE THIS COURSE UNLESS YOU
HAVE HAD PRIOR EXPERIENCE WITH PROVING THINGS AND WITH MATHEMATICAL ABSTRACTION. We don't have higher level honors courses but if we did these courses would be among them. It is also absolutely necessary for more advanced work in mathematics and can come in handy in other branches of science and engineering.
