Math 35
Real Analysis
Last updated July 18, 2017 09:28:22 EDT
Announcements:
 Our inclass exam is 8:0011:00 AM on Monday, March 10, in 007 Kemeny Hall. Daylight Savings Time begins on Sunday, March 9.
 Some solutions to problems we were working on in class have been posted (from February 17, 19, and 25).
 Tuesday, Morch 4, will be an optional xhour on Riemann integrals.
 There is no homework assigned on Monday, March 3, other than to review the material we have been reading.
Homework Assignments
IMPORTANT NOTE:
You may get no credit for your homework unless it is COMPLETELY LEGIBLE, on standard lettersized paper, stapled (The week's regular homework should be stapled together in a single packet, and the special homework stapled separately.), and identified with your name, and you have restated each problem before solving it. (Saying what you are doing is an important part of clearly explaining.)
Homework assigned each day will be collected on Wednesday of the following week. In particular, homework assigned on Monday is not due until Wednesday of the following week. It is, however, a good idea to do each day's homework before the next class.
Reading assigned each day should be done by the next class. So, for example, Sections 1.1 and 1.2, listed on Monday, January 6, are assigned on Monday and should be read by Wednesday, January 8.
Week of January 610, 2014 
Assignments Made on: 
Monday:
 Read: Section 1.1.
 Submit: Section 1.1, exercises 3(a) and 4(a), and the homework assigned Monday, January 6, found on the Documents page.
 Submit: Questionnaire, found on the Documents page.
 Special Note: The questionnaire is due Wednesday, January 8.

Wednesday:
 Review: Section 1.1.
 Read: Section 1.2.
 Submit: Homework assigned Wednesday, January 8, found on the Documents page.

Friday:
 Review: Section 1.2.
 Read: Section 1.3.
 Submit: Section 1.2, exercises 7, 8(a), 12, and 16.

Week of January 1317, 2014 
Assignments Made on: 
Monday:
 Read: No new reading.
 Submit: Section 1.3, exercises 6, 13, 19, and 20.
 Review: Reading so far.

Tuesday:
 Read: Sections 1.4 and 1.5.
 Submit: No new assignment.

Wednesday:
 Review: Chapter 1.
 Read: No new reading.
 Submit: Section 1.4, exercises 5 and 7. (Note that 7 asks you to actually find a correspondence, rather than apply the theorems of the section.)

Friday:
 Review: Chapter 1.
 Read: Section 2.1.
 Submit: Homework assigned Friday, January 17, found on the Documents page.

Week of January 2024, 2014 
Assignments Made on: 
Tuesday:
 Review: Section 2.1.
 Submit: Section 2.1, exercises 2, 7, and 10. For (7), you can specify your sequence by a formula, a recursive definition, or enough terms to make a pattern obvious; if it is clear that your sequence has the desired property, you need not prove anything, and if it is not obvious, an informal (correct) explanation will suffice. For (10), give a careful proof using the definition of convergence.

Wednesday:
 Review: Section 2.1.
 Read: Section 2.2.
 Submit: Section 2.1, exercises 19, 22, and 28. For (22), if your answer is "yes" give a proof, and if your answer is "no" give a counterexample.

Friday:
 Review: Section 2.2.
 Read: Section 2.3.
 Submit: Section 2.2, exercises 3, 16, and 24.

Week of January 2431, 2014 
Assignments Made on: 
Monday:
 Review: Section 2.3 .
 Read: No new reading. .
 Submit: Section 2.3 exercises 3, 6, and 14. .

Tuesday:
 Review: Problems we worked on in class today.

Wednesday:
 Review: Chapter 2.
 Read: No new reading.
 Submit: Section 2.3, exercises 28, 29, and 30.

Friday:
 Review: Chapters 1 and 2.
 Read: Section 3.1.
 Submit: Homework assigned Friday, January 31, found on the Documents page.

Week of February 37, 2014 
Assignments Made on: 
Monday:
 Review: Section 3.1. .
 Read: No new reading. .
 Submit: Section 3.1 exercise 5. Be sure to prove this directly from the definition of limit. .
 Note: The midterm distributed today is due in my office at 4 PM on Thursday. .

Tuesday:
 Review: Problems we worked on in class today.
 Read: Section 3.2. .
 Submit: No new written homework.

Wednesday:
 Review: Section 3.2.
 Read: Section 3.3.
 Submit: Section 3.2 exercises 7 and 25.
 Note: Don't forget that the midterm is due in my office at 4 PM on Thursday. .

Week of February 1014, 2014 
Assignments Made on: 
Wednesday:
 Review: Section 3.3.
 Read: Section 3.4.
 Submit: Section 3.3, exercises 1, 9, and 13.

Friday:
 Review: Section 3.4.
 Read: Section 3.5.
 Submit: Section 3.4, exercises 2(d), 4, and 5.

Week of February 1721, 2014 
Assignments Made on: 
Monday:
 Review: Chapter 3. .
 Read: No new reading. .
 Submit: Section 3.5 exercises 8, 9, and 15. .

Wednesday:
 Read: Sections 6.1 and 6.2.
 Submit: Section 3.2, exercise 30, parts b, c, and d; section 3.3, exercise 40, parts a, b, and c; section 3.4, exercise 15, parts a, b, and c.

Friday:
 Review: Sections 6.1 and 6.2.
 Read: Section 6.3.
 Submit: Section 6.1, exercises 4 and 19; section 6.2, exercise 14, parts b, c, and d.

Week of February 2428, 2014 
Assignments Made on: 
Monday:
 Review: Section 6.3. .
 Read: Section 6.4. .
 Submit: Section 6.3 exercises 5a, 6, and 13. .

Tuesday:
 Review: Section 6.4. .
 Read: Section 7.1.

Wednesday:
 Review: Section 7.1. .
 Read: Section 7.2.
 Submit: Section 7.1 exercises 2, 6a, 15ac.

Friday:
 Review: Section 7.2. .
 Read: Sections 7.3 and 7.4. (Don't worry about the material involving derivatives and integrals.)
 Submit: Section 7.2 exercises 4a, 12, 13.

Marcia J. Groszek
Last updated July 18, 2017 09:28:22 EDT