MATH 6101/EDCI 8101 090

Foundations of Real Analysis

FALL
2006

Class Syllabus . Click here for a PDF version for printing.

List of topics to be covered each day. Click here
for a PDF version for printing.

REMINDER: No
class on October 09 or on October 16

Chapter
1 Thoughts on Numbers, Mathematics, and How We
Got Here

Chapter
2 NUMB3RS and what they have wrought

Chapter
3 The Real Numbers

Chapter
4 The Complex Numbers

Chapter
5 Functions: An Introduction

Chapter
6 Sequences and Series [This has changed on
09/27/2006 10:03 PM. Changes occur from Section 6.7 to the end.]

Chapter
7 Series Examples new on 02-October-2006
the set of problems handed out in class and
their solutions.

Chapter
8 Rational and Transcendental Functions
Part I

Chapter
9 Special Functions Hyperbolic
Trigonometric functions, the Lambert W function and a generalized logarithm

Chapter
10 Continuity

Chapter
11 Uniform Continuity

Chapter
12 Power Series

Appendix
A Babylonian Mathematics (from MacTutor)

Appendix
B Egyptian Mathematics (from MacTutor)

Appendix
C The Irrationality of *e*

Appendix
D The Irrationality of π

Appendix
E Roots of the Quartic Equation

Appendix
F Eulers Gamma Function

Appendix
G Axioms and Proof

Appendix
H Reversions of Series

Handout
1 The Galley Method of Division

Handout
2 The Egyptian Method of Multiplication

Assignment for August 21,
2006 Due August 28, 2006.

Sign in to BBS system

Assignment for August 28,
2006 Due September 11, 2006.

Assignment for September 11,
2006 Due September 18, 2006.

Here is a document (HTML PDF)
that discusses Long Division and will be helpful for #3

Assignment for September 18,
2006 Due September 25, 2006.

Assignment for September 25,
2006 Due October 2, 2006.

Assignment for October 2,
2006 Due October 23, 2006.

Assignment for October 23,
2006 Due October 30, 2006.

Assignment for October 30,
2006 Due November 6, 2006.

Assignment for November 6,
2006 Due November 13, 2006.

Assignment for November 13,
2006 Due November 20, 2006.

Assignment for November 20,
2006 Due November 27, 2006.

Final Questions to be done by December
11, 2007 to prepare for Final Exam

Assignment for November 27,
2006 Due December 4, 2006.

Assignment #1: Due September 11, 2006.

Assignment #2: Due September 18, 2006.

Assignment #3: Due September 25, 2006.

Assignment #4: Due October 2, 2006.

Assignment #5: Due October 23, 2006.

Assignment #6: Due October 30, 2006.

Assignment #7: Due November 6, 2006.

Assignment #8: Due November 13, 2006.

Assignment #9: Due November 20,
2006.

Assignment #10: Due November 27,
2006.

· Here is a list of quotations
about mathematics and mathematicians

·

·

·

·

·

·

Back to the My Home Page

Last updated 12/03/2006 by David Royster

© 2006 David Royster, Purple Bear NC, Inc.