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MA323 Real Analysis

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Spring 2010

This week: Final Project: Presentations are set for Friday, May 14 at 9:00am. I'll bring the doughnuts. Final write-ups are due Monday the 17th. Also, each of you is individually responsible for handing in Exercises 7.2.6, 7.3.5, 7.5.8.

Office hourse this week: Wednesday, Thursday and Friday from 1:00 to 3:00. I will also be around in the morning on Wednesday and perhaps late morning on Thursday (starting around 11:00.)

I fully anticipate working some with each group on your projects--especially helping you fine tune what to talk about on Friday. Stay in touch and see you soon--

Steve

**Course description and policies**

**Problem hints**

### Office Hours: MWF from 1:30-2:30; Tues 2--3:15. I am also around most Tuesday
and Thursday late mornings and other unpredictable times in the afternoons.
My door is usually open and you are welcome to stop by or make an appointment.

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### Assignments:

### Due Feb 12: From section 1.2, exercises 1.2.1, 1.2.2, 1.2.4b, 1.2.6. From
section 1.3, exercises 1.3.2, 1.3.5b, 1.3.8, 1.3.9

### Due Feb 17: Section 1.4, exercises 1.4.2, 1.4.3 (this is Gavin's lemma), 1.4.6a,
1.4.8a,b, 1.4.11

### Due Feb 22: Section 1.4: 1.4.11 (this is the second time for some, the first
for others), 1.4.12, 1.5.4, 1.5.8, 1.5.9

### Due March 1: Sectioin 2.2: 2.2.1bc, 2.2.5b, 2.2.6, 2.2.7, 2.2.8,

### Due March 5: Section 2.3: 2.3.2, 2.3.3, 2.3.7, 2.3.8

### Due March 10: Section 2.4: 2.4.1, 2.4.2, 2.4.4, 2.4.6, Section 2.5: 2.5.3,
2.5.4

### Due March 15: Section 2.6: 2.6.1, 2.6.2, 2.6.5a, Section 2.7: 2.7.1--do either
(a) or (b) or (c), 2.7.5, 2.7.6

### Due March 19: Pledged set #1

### Due April 2: Section 3.2: Exercise 3.2.3, 3.2.6, 3.2.8, Section 3.3: Exercise 3.3.1, 3.3.2, 3.3.7

### Due April 9: Section 4.2: Exercise 4.2.1(c) and (d),4.2.6, 4.2.7, Section 4.3: Exercise 4.3.2, 4.3.7, 4.3.11 (no formal proofs required for this last one--just try to produce an example you think works.)

### Due April 14: Section 4.4: Exercise 4.4.2, 4.4.4, 4.4.6, 4.4.9; Section 4.5: Exercise 4.5.2 (no rigorous proofs--just articulate thoughts), 4.5.7

### Due April 19: Section 5.2; Exercises 5.2.2, 5.2.5ab, 5.2.6, 5.2.7

### Due April 26: Section 5.3.1, 5.3.3., 5.3.4, 5.3.12 ; Section 6.2.2: Exercise 6.2.2, 6.2.3, 6.2.8.

### Due May 7: Pledged assignment #2 (put in envelope on my door)

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### Final Project: Presentations are set for Friday, May 14 at 9:00am. I'll bring the doughnuts. Final write-ups are due Monday the 17th. Also, each of you is individually responsible for handing in Exercises 7.2.6, 7.3.5, 7.5.8.

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