MTHT430_Analysis

A pdf version of this content is available: Syllabus

This course will cover the basic properties of real numbers including the completeness of the real numbers, and a rigorous development of Calculus through the fundamental theorem with attention paid to limits, continuous functions, differentiability, and the Riemann integral. Applications to high school mathematics will be considered throughout the course.

Prerequisite(s): Grade of C or better in MATH 210 and Grade of C or better in MATH 215.

text: Real Analysis by Frank Morgan, 2005.

The book is available through the UIC bookstore. If you look for it elsewhere use either\\ ISBN-10: 0-8218-3670-6 or ISBN-13: 978-0-8218-3670-5. It is published by the American Mathematical Society (AMS)

text: Calculus by Tom M. Apostol, 1967, pages 17 - 47.

Copies of these pages will be distributed in class. There may be a copy of the entire book on reserve in the library.

technology:

Students are welcome to use a laptop during class. We will be making some use of Geogebra. This free, downloadable software is a combination of a graphing calculator, a spreadsheet and something similar to geometer’s sketchpad. We will be sharing work on Googledocs and/or writeLatex. UIC Google accounts are free and easy to get at here. Students may go to Writelatex.com to learn about writeLatex, but this will be demonstrated in class. No knowledge of LaTex is required for the class.