# Math 521 Fall 2011 Homework

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Homework is due on fridays in lecture.

Do check the homework page periodically for new homework or changed homework. Hitting the "Reload" or "Refresh" button on your browser with Ctrl or Shift pressed down (depends on the browser) usually makes absolutely sure that you have the newest version.

Homework is from my Basic Analysis notes unless otherwise noted.

## Homework 1 (due Friday Sept. 9th)

0.3: 0.3.4, 0.3.7, 0.3.15, 0.3.19

## Homework 2 (due Friday Sept. 16th)

1.1: 1.1.1, 1.1.3, 1.1.5, 1.1.6
1.2: 1.2.1, 1.2.2

## Homework 3 (due Friday Sept. 23rd)

1.2: 1.2.7, 1.2.8
1.3: 1.3.1, 1.3.4
1.4: 1.4.1, 1.4.2

## Homework 4 (due Friday Sept. 30th)

2.1: 2.1.1, 2.1.3, 2.1.5, 2.1.7
2.2: 2.2.1, 2.2.2, 2.2.5
Optional but recommended: 2.1.13, 2.1.11, 2.1.15, 2.1.16

## Homework 5 (due Friday Oct. 7th)

2.2: 2.2.3
2.3: 2.3.8
Optional but recommended: 2.2.9, 2.3.3, 2.3.4, 2.3.5, 2.3.7, 2.3.9

## Homework 6 (due Friday Oct. 14th)

2.4: 2.4.1, 2.4.2, 2.4.4
2.5: 2.5.2, 2.5.3, 2.5.4, 2.5.6

## Homework 7 (due Friday Oct. 21st)

3.1: 3.1.1, 3.1.2, 3.1.3, 3.1.5, 3.1.8
3.2: 3.2.2, 3.2.3

## Homework 8 (due Friday Oct. 28th)

3.2: 3.2.7, 3.2.10, 3.2.11, 3.2.12
3.3: 3.3.1, 3.3.3, 3.3.4, 3.3.7
Optional but recommended: 3.2.8, 3.3.2, 3.3.6

## Homework 9 (due Friday Nov. 4th)

3.4: 3.4.5, 3.4.8, 3.4.9
4.1: 4.1.1, 4.1.2, 4.1.5, 4.1.6, 4.1.10

## Homework 10 (due Friday Nov. 11th)

4.2: 4.2.4, 4.2.5
5.1: 5.1.1, 5.1.2 (you have to first show that f is integrable), 5.1.3
5.2: 5.2.1, 5.2.2
Optional but highly recommended: 4.2.7, 4.2.8, 5.2.4, 5.2.5, 5.2.6

## Homework 11 (due Friday Nov. 18th)

5.3: 5.3.1, 5.3.5
6.1: 6.1.2
Optional but highly recommended: 5.2.7, 5.2.9, 5.2.10 (there is an erratum: f should be bounded of course, it's actually a good enough problem to just assume that f is continous), 5.3.2, 5.3.7, 5.3.8, 6.1.4, 6.1.5, 6.1.10

## Homework 12 (not due but highly recommended)

6.2: 6.2.1, 6.2.2, 6.2.4, 6.2.6, 6.2.12
7.1 (from mspaces.pdf): 7.1.1, 7.1.3, 7.1.4, 7.1.5

## Homework 13 (due Friday Dec. 2nd)

Chapter 7 is either in the new version of the book from the website or you can download just the chapter 7: mspaces.pdf.

7.1: 7.1.6, 7.1.7
7.2: 7.2.1, 7.2.2, 7.2.6, 7.2.10
Optional but highly recommended: 7.2.3, 7.2.7, 7.2.8, 7.2.9, 7.2.11

## Homework 14 (due Friday Dec. 9th)

Chapter 7 is either in the new version of the book from the website or you can download just the chapter 7: mspaces.pdf.

7.3: 7.3.2, 7.3.3, 7.3.5, 7.3.6
7.4: 7.4.1, 7.4.2, 7.4.4
Optional but highly recommended: 7.3.7, 7.3.8, 7.4.7, 7.4.8, 7.4.10

## Homework 15 (not due)

So all problems this week are "optional but highly recommended" as the homework is not due.

7.5: 7.5.2, 7.5.3, 7.5.4, 7.5.6, 7.5.8
7.6: 7.6.1, 7.6.2, 7.6.4, 7.6.5, 7.6.6