Last Updated 09/16/2011

Syllabus, Tentative Schedule, Homework, Links to PowerPoint Slides and Other Info

This schedule (dates and topics) may be altered without advance notice.

  Monday Tuesday Wednesday Thursday Friday
09/30

Syllabus, First Day
Proof I, HO, HW

 

Proof II, HO, HW

  Triangle Inequality, HO, HW
10/07 Induction, HO, HW  

HW Sol & Fields

  Sup & Inf, HO, HW
10/14

Precise Definition, HO, HW

  Day of Common Learning

 

Limit Laws, HO, HW
10/21

Review


Q&A   Exam I
10/28 Squeeze Thm,
HO, HW


Continuity,
HO, HW

  IVT,
HO, HW
11/04 Derivatives,
HO, HW



Formulas,
HO, HW
  HW Sol & Review
11/11 V Day   Uniform Continuity   Exam II
11/18 MVT, HO, HW   l'Hospital Rule,
HO, HW
  Countable Set,
HO, HW
11/25 Open Sets,
HO, HW
  Closed Sets,
HO, HW
Thanksgiving Thanksgiving
12/02 HW Sol & Review   Exam III    
12/09 Final Exam
10:30-12:30
 

 

 

References

Below are the ONLY references that you can use.

No one single resource fits the needs of this course. We are going to use multiple resources.

You are allow to use the specific chapters and sections of each resource listed below.

No other resources are to be used - Web pages, books, textbook / notes from a previous course, classmates, etc.

In the case of a group homework, you can only do the discussions within your group. Talk to me if you are in doubt.

1. Howland, Basic Real Analysis Chapter 1 (Google Books Preview)
Appendices A-C (Amazon Preview)
2. Bloch, Proofs and Fundamentals Chapter 2 Strategies for Proofs (Sample Chapter)
3. Trench, Introduction to Real Analysis

The original text is out of print. This version is provided free of charge from the author.

Section 1.1
Section 1.2

Section 2.1
Section 2.2
Section 2.3
Section 2.4
Section 2.5