### Homework assignments, Real Analysis II (Math 447)

#### Prof. Janeba, Spring 2015

** Homework assignments for the week of:**

Jan. 19 | Jan. 26 | Feb. 2 | Feb. 9 | Feb. 16 | Feb. 23 | Feb. 27 | Mar. 2 | Mar. 9 | Mar. 16 | Mar. 30 | Apr. 6 | Apr. 13 | Apr. 20 | Apr. 27

Final Exam

### Week #1:

- Jan. 20: The five-old-familiar-proofs handout - turn in all five on Thursday, with at least one of the five in LaTeX.

- Jan. 22:

- Read chapter 4.2, 4.3. Do 4.2 #11a, 4.3 #2b,3a,11a,5 (recommended in that order)
- Optional lemma that may prove useful: If f is continuous on [a,b) and f is uniformly continuous on (a,b) then in fact f is uniformly continuous on [a,b).

### Week #2:

- Jan. 27:

- Do 4.3 #4a, 6a, 10; 10 might be tricky, but think about the graph of f in the way we did with f(x)=(1-x
^{2}).
- Read 4.4, do 4.4 #2a, d (here "[y]" means the greatest integer less-than-or-equal-to y, i.e. round down to the nearest integer), 10

- Jan. 29:

### Week #3:

### Week #4:

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### Week #10:

Spring Break Mar. 23 - 27

### Week #11:

### Week #12:

### Week #13:

### Week #14:

### Week #15:

- May 5 (Last day of class)

### Week #16:

- Friday May 8, 2-5 p.m..
**Final Exam **

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*Last modified January 27, 2015.*

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