## Homework assignments, Real Analysis I - Math 446, Fall 2014

Dates listed are assignment dates, not due dates; homework should be
done by the next class meeting after the assignment date.

#### Prof. Janeba, Fall 2014

**Homework assignments for the week of:**

Aug. 27 | Sept. 3 | Sept. 8 | Sept. 15 | Sept 22 | Sept 29 | Oct 6 | Oct 13 | Oct 20 | Oct 27 | Nov 3 | Nov 10 | Nov 17 | Nov 24 | Dec 1

Final Exam

Interesting stuff relevant to our class

### Week #1:

- Aug. 27:
- Read syllabus (quiz next class)
- Study chapter 1.1 and 1.4 of our text (possible open-notes reading quiz next class)
- Do chapter 1.1 #2ac, 3b, 5a and chapter 1.4 #3ab, 5abc, 8, 12

- Aug. 29:
- Read chapter 1.2, 1.5
- Do 1.4 #1a (hint: find some way to use the distributive law), 13,14,15
- Do 1.2 #3,4,11
- Suppose that f is a function from A to D, and B and C are subsets of A. Prove that if B C then f(B)f(C).
- Suppose that f is a function from A to D, and E and G are subsets of D. Prove that if E G then f
^{ -1}(E)f^{ -1}(G).
- Prove that if a,b with a<b then a < (a+b)/2 < b.
- Note: If A={1,2,3,4} then sup A = 4. If B = [2,4] then sup B = 4. But if U = (0,), then no sup for U!

### Week #2:

- Sept. 1: Labor Day (no classes)

- Sept. 3:
- Sept. 5:

### Week #3:

- Sept. 8:

- Sept. 10:
- Sept. 12:

### Week #4:

- Sept. 15:

- Sept. 17:
- Sept. 19:

### Week #5:

- Sept. 22:
- Sept. 24:
- Sept. 26:

### Week #6:

- Sept. 29:
- Oct. 1:
- Oct. 3:

### Week #7:

### Week #8:

- Oct. 13:

- Oct. 15:
- Oct. 17: Mid-semester day - no classes

### Week #9:

- Oct. 20:
- Oct. 22:
- Oct. 24:

### Week #10:

- Oct. 27:

- Oct. 29:
- Oct. 31:

### Week #11:

### Week #12:

- Nov. 10:

- Nov. 12:
- Nov. 14:

### Week #13:

- Nov. 17:
- Nov. 19:
- Nov. 21:

### Week #14:

- Nov. 24:

- Nov. 26:
- Nov. 28:
**Thanksgiving Break, no classes**

### Week #15:

- Dec. 1:

- Dec. 3:
- Dec. 5:

Here are some other term-long review problems you can use for
study.

### Week #16:

- Thursday, Dec. 11, 2014 from 2-5 p.m.
**Final Exam **

**
**
####

#### Interesting stuff relevant to our class:

More to come, please check back.

*Last modified Aug. 28, 2014.*

Prof. Janeba's Home Page | *Send comments or
questions to:*
mjanebawillamette.edu

Department of Mathematics | Willamette University
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