Steve Bell's Math 341 class

Foundations of Real Analysis

MA 341000 067 (CRN: 26812) MWF 11:30am to 12:20pm in WALC 3127


[photo]

Professor Steve Bell
OFFICE: Math 750
OFFICE PHONE: (765)-494-1497
E-MAIL: bell AT purdue DOT you_know_where

OFFICE HOUR: T,Th 2:00-3:00 pm
             and via piazza
             and appointment


GRADER: Dustin Enyeart
OFFICE: Math 1047
E-MAIL: denyear AT purdue DOT you_know_where

Textbook: Introduction to Real Analysis, 4th Edition, by Robert G. Bartle and Donald R. Sherbert, Wiley

We will cover chapters 1-7 minus certain sections plus
a little bit of 8.


The AFTERMATH -- notes from Bell's tablet PC during lecture and lecture videos.


Final Exam is Friday, May 3, 1:00-3:00 pm in WALC 3138

You can bring TWO two-sided crib sheets of standard sized
paper handwritten only on both sides.

I'll supply the paper. You only need pencils, an eraser,
and your crib sheets.

The Final exam covers all the book sections in the homework
readings below, including 8.1-8.3. It is a closed books,
no notes, no electronics exam.

Here are some practice problems for the final exam,
thanks to MIT Open Course Ware for 18.100A:

See

https://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/

for more great study material.


Exam 2

Exam 2 was a take-home exam available on Gradescope at
5:00 pm on Monday, April 15 and due in Gradescope at
11:00 pm on Friday, April 19.

It covered the material up to Friday, April 12.

The rules of Exam 2 were that you could only consult the
textbook, the AFTERMATH lectures, and your own notes.
You had to work alone. No electronic searches, AI, or
calculators, etc.

The best way to prepare for the exam was to keep up
with the reading and to go over homework problems,
especially the ones since Exam 1. The following
practice problems on the Fundamental theorem of
Calculus were also recommended:

7.3: p. 224: 9, 11a, 14


Exam 1 material

Exam 1 was in-class on Wed, Feb 28. It was a closed books,
no notes, no electronics exam covering

Chapters 1, 2, 3, and 4.1

You could bring one two-sided crib sheet of standard sized
paper handwritten only on both sides. I supplied the paper.
You only needed pencils, an eraser, and your crib sheet.


Homework Assignments

------------

HWK 1 due Wednesday, January 17

Read 1.1, 1.2, and 1.3. Do

p. 10-11: 2, 5a, 14, 16, 24
p. 15-16: 1, 6, 10, 15, 18 

------------

HWK 2 due Wednesday, January 24

Read 2.1 and 2.2

p. 22: 5, 10, 11c
p. 30-31: 2, 6, 9, 15, 18
p. 35-36: 1, 6, 9a, 18a

------------

HWK 3 due Wednesday, January 31

Read 2.3, 2.4, 2.5

p. 39-40: 1, 3, 4, 5a, 5b, 7
p. 44-46: 1, 3, 4, 14, 18, 19

------------

HWK 4 due Wednesday, February 7

Read 2.5, 3.1, 3.2

p. 52-53: 7, 8, 16, 17
p. 62: 6c, 6d, 8, 12, 16, 18
p. 69-70: 4, 6b, 6d, 7, 12

------------

HWK 5 due Wednesday, February 14

Read 3.3, 3.4, 3.5

p. 77: 1, 3, 7, 11, 12
p. 84: 7b, 7d, 9, 12
p. 91: 5, 8, 9

------------

HWK 6 due Wednesday, February 21

Read 3.6, 3.7, 4.1

p. 93-94: 1, 3, 4c, 4d, 10
p. 101: 6, 11, 12, 13
p. 110: 7, 11, 15

------------

HWK 7 due Wednesday, March 20

Read 4.2, 4.3, 5.1, 5.2 

p. 116: 3, 5, 9, 10
p. 123: 5g, 5h, 9, 11
p. 129: 5, 7, 11, 12
p. 133-134: 3, 4, 7, 8, 15

------------

HWK 8 due Wednesday, March 27

Read 5.3, 5.4, 5.6 (skip 5.5)

p. 140-141: 1, 4, 13, 17, 19
p. 148-149: 2, 3, 5, 9, 11
p. 160: 1, 4, 5, 12

------------

HWK 9 is due Wednesday, April 3

Read 6.1, 6.2, 6.3

p. 171: 2, 4, 7, 9, 16
p. 179-180: 6, 11, 13, 15, 17
p. 187-188: 3, 6, 7, 8b, 8c

------------

HWK 10 is due FRIDAY, April 12

Read 6.4, 7.4, 7.1, 7.2 (in that order)

p. 187-188: 10c, 10d, 11a, 11b, 12
p. 196-197: 1, 2, 8, 12
p. 233: 3, 13, 15
p. 215-216: 2, 10

------------

Last reading assignment

Read 8.1-8.3

------------


More Syllabus items for MA 341