Last Updated 09/28/2021

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
9/13

Syllabus, First Day
HW

  

Proof I, HO, HW

   Proof II, HO, HW
9/20 Triangle Inequality, HO, HW  

Induction, HO, HW

   HW Sol & Fields
9/27

Sup & Inf, HO, HW

   Precise Definition, HO, HW

 

 Limit Laws, HO, HW
10/04 Review
Q&A   Exam I
10/11 Squeeze Thm,
HO, HW
Continuity,
HO, HW
   IVT,
HO, HW
10/18 Derivatives,
HO, HW

Formulas,
HO, HW		   Mid-Autumn
"No Class Day"
10/25 HW Sol & Review   MVT, HO, HW   MVT (cont')
11/01 Exam II   l'Hospital Rule,
HO, HW		   Countable Set,
HO, HW
11/08 Open Sets,
HO, HW		   Closed Sets,
HO, HW		 V Day HW Sol & Review
11/15 Exam III   Last Day of Class Student Reading Day Final Exam Period
11/22 Final Exam Period Final Exam
9-11am

 

 

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

 

Old Schedule, For reference only!

  Monday Tuesday Wednesday Thursday Friday
09/14

Syllabus, First Day
Proof I, HO, HW

  

Proof II, HO, HW

   Triangle Inequality, HO, HW
9/21 Induction, HO, HW  

HW Sol & Fields

   Sup & Inf, HO, HW
9/28

Precise Definition, HO, HW

   Day of Common Learning

 

 Limit Laws, HO, HW
10/05

Review
Q&A   Exam I
10/12 Squeeze Thm,
HO, HW
Continuity,
HO, HW
   IVT,
HO, HW
10/19 Derivatives,
HO, HW

Formulas,
HO, HW		   HW Sol & Review
10/26 V Day   Uniform Continuity   Exam II
11/02 MVT, HO, HW   l'Hospital Rule,
HO, HW		   Countable Set,
HO, HW
11/09 Open Sets,
HO, HW		   Closed Sets,
HO, HW		 Thanksgiving Thanksgiving
11/16 HW Sol & Review   Exam III    
11/ Final Exam
10:30-12:30