This course will cover the basic properties of numbers, functions, graphs, limits, differentiation, continuity, completeness of the system of real numbers. Applications to high school mathematics will be considered throughout the course.

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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).

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

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

Additional sources:

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Calculus by Michael Spivak.

There is a copy on reserve in the library.