Math 131AH Fall 2005 and Math 131BH Winter 2006

Math 131AH and Math 131BH

Fall 2005, Winter 2006

Professor Robert E. Greene

Lecture Meeting Time: MWF 11:00A-11:50A
Lecture Location:MS5117
TEXT: Undergraduate Analysis by Serge Lang, Second Edition

Section Information
Section ID	Section	Classroom:	Time	TA Name
262458201	1a	MS 5117	T 11:00A-11:50A	SAINAL ABDEEN, FAIZAL AHMED

Grading:
Homework assignments : 20% of grade
2 Midterm exams : 20% each
Final Exam : 40% of grade

There are no "make-up" midterms. If you miss a midterm exam, then the Final exam will count more toward your final grade. Homework will be assigned each week and due the following week or as announced. Turn in your homework to Professor Greene.

NEW STUFF for Math 131BH has been added to this page. Scroll down to find Math 131B homework and lecture notes.

What is this course about ?

Real Numbers: Class notes for students from Professor Greene

More basic properties of Real Numbers : Class notes for students from Professor Greene

Click here for Homework #1.
Click here for Homework #2.
Look here for suggestions and hints for Homework #2 .

Here is a helpful article about Metric Spaces. Go take a look .
Metric Spaces: Practice Problems ---very important!

Here are 2 proofs written out by me, so you can see how they ought to go...in my view!

Notes from Professor Greene from the lecture on Monday October 24, 2005 in which some of you looked tired and confused at the end.

Here is a Dobie Dog, digging for the TRUTH.

Equicontinuity and the Arzela-Ascoli Theorem.

Notes on Uniform Convergence and Continuous Functions

Notes on Lipschitz Continuity and Equicontinuity

Click here for the Baire Category Theorem

This is the exact proof (of the Baire Category Theorem) that I did in CLASS .

Here are solutions for Exam I

Homework Assignment : Due Monday November 28. ( I will probably add problems to this list, so check back !) Start reading in your text (Lang ) on page 128. On page 136, do # 2,3,9,12 . On page 142, do # 1,2,3,4 .

Here is the complete Final HW assignment, CLICK here ! Due December 9.

Here are some notes from the lecture on November 16. Basic Observation about Complet Normed Vector Spaces: either finite dimensional or has no countable basis. Click here .

Here are some practice problems for Exam II.
Click here for practice .

Corrected version of this paper

Outline of How to Prove our Basic Goal: Fourier Partial Sums.Click here.

More Fourier Series examples

Two Fourier Series examples....VERY interesting. ( a web link)

Another interesting Fourier link (another web link)

Exam II answers

Some answers from the Final Exam for Math 131AH,
December 2005

Math 131B Stuff

Summary of Lecture I and Lecture II for Math 131B

Summary of lectures III and IV
Click here for Math 131BH homework I

Homework II :

from your textbook: page 376 # 7,8,9,10,11,12,13 page 387 # 4,6a,6b,7,9,10 page 394 1,2,3 page 403-405 read XV section 4, and do # 4,13

Click here for Solutions to HW I, Math 131 B H

Estimation via Derivatives and the Inverse Function Theorem: click here

Homework III: Sample Problems for Midterm II ---due March 17, 2006

Winding Number Proof of Local Onto-ness in the Inverse Function Theorem

Here are solutions to Exam II

Click here to see pictures from Dr. Greene's wedding.

Back to Robert E. Greene's page