Math 400 Fall 2004
Analysis I
Professor J. Duan
E-mail: duan@iit.edu
Class Hours: Tu Th 11:25am--12:40pm in E1
Office Hours: Tu Th 2--3pm or by appointment
This is a rigorous introduction to the basic concepts of
mathematical analysis. This course is for majors/minors in applied
mathematics, and for other students who are in interested in
advanced studies (e.g., graduate study) in science and
engineering. The primary goal is the development and cultivation
of the students' abilities to work in abstract setting with
precise definitions and logical and complete proofs.
Not all materials in the textbook will be presented, and students
are required to acquire some course materials by independent
study. Examples will be used throughout the course to motivate and
illustrate basic concepts.
Topics for Analysis I include:
Sequences, functions and continuity, derivative, integral, and
infinite series, and if time permitting, uniform convergence.
Pre-requisite: Calculus
Textbook:
G B Bilodeau and P R Thie: An Introduction to Analysis
(ISBN: 0-07-005662-5; 1997 or current edition)