Math 522 Spring 2012 Homework

Homework is due on fridays in lecture (unless noted otherwise).

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 Rudin unless otherwise noted.

Homework 1 (due Friday January 27)

See this pdf

Homework 2 (due Friday Feb 3)

Rudin page 165 exercises: 2, 4, 6, 7, 10, 11

Homework 3 (due Monday Feb 13)

Note the due date is Monday for this homework since I will be out of town on Friday (there will be a substitute don't worry, you will get your daily dose of analysis). The next homework will be due on Friday again.

Rudin page 165 exercises: 13, 15, 16, 18, 19
Optionally (no need to turn in) it's good to look at 17. Also 14 is fun (and rather odd if you think about it).

Homework 4 (due Friday Feb 17)

Rudin page 165 exercises: 20, 21, 23
Optional but fun: 24, 25 (notice that we get an existence but not necessarily uniqueness, for uniqueness we need further hypotheses)

Homework 5 (due Friday Feb 24)

Rudin page 196 exercises: 1 (think about what the taylor series would be at the origin!), 2, 3, 4, 6.

Homework 6 (due Friday Mar 2)

Rudin page 196 exercises: 7, 8, 9, 11
Optionally try 10.

Homework 7 (due Friday Mar 9)

Rudin page 196 exercises: 12 (you'll have to just use parseval's theorem from the end of the chapter), 13, 15, 19

Homework 8 (due Friday Mar 23)

See this pdf

Homework 9 (due Friday Mar 30)

Rudin page 332 exercises: 1, 2, 3, 4

Note that f=0 almost everywhere if the set E where f is not zero, has measure zero.

Homework 10 (due Friday Apr 13)

Rudin page 332 exercises: 5, 6, 9

Homework 11 (due Friday Apr 20)

See this pdf

Homework 12 (due Friday Apr 27)

See this pdf

Homework 13 (due Friday May 4)

Rudin page 239 exercises: 6, 7, 8

Homework 14 (not due)

Rudin page 239 exercises: 11, 13, 15, 16, 19

Final project (due by the scheduled final exam time)

Rudin page 170 exercise 25

Rudin page 200 exercises 16, 17

Rudin page 333 exercise 12 (of course f is measurable in y)

Rudin page 240 exercise 14