MT A421 Introduction to Analysis
This section of the course (Fall 1999) meets MWF 12:00-12:50PM in Ritter Hall 222.
A first course in real analysis is essential preparation for studying advanced mathematics, both theoretical and applied. In part this is because the mathematical topics which are covered are fundamental to many other areas: convergence of sequences and series, continuity of functions, elementary topology (compactness, completeness, etc.), foundations of calculus (differentiation and integration), spaces of functions, etc. Perhaps more importantly though, this course is the place where mathematics majors and first-year graduate students learn how to come up with and write careful, detailed proofs.
Here is the course schedule which gives the specific topics to be covered and corresponding section numbers in the book.
There is also a very terse course description contained in the SLU Undergraduate Catalog (PDF format). The prerequisites for this course are MT A244 (Calculus III) and MT A315 (Introduction to Linear Algebra).
The image is a Czechoslovakian stamp depicting Bernard Bolzano. See Jeff Miller's page for more mathematicians on postage stamps.
The required text for the course is Elements of Real Analysis by Herbert Gaskill and P. P. Narayanaswami. There is a web page at Prentice-Hall which summarizes some of the attractive features of this text. Students can buy the book from the SLU Bookstore.
Homework and Exams
There will be some homework problems every week, unless otherwise indicated. Here is the latest homework assignment. You are encouraged to discuss homework problems with your classmates, but each student must prepare his or her own set of solutions.
There will be two in-class exams given September 24th and October 27th; each is worth 30% of your final grade. The final exam is scheduled for Wednesday, December 8th from 12:00-1:50PM; it is comprehensive and is worth 40% of your grade. No make-up exams will be given. The College of Arts & Sciences has a policy concerning academic honesty with which you should be familiar.