Math 32AH Homework Assignments

Assignment Due Date Exercises Material Comments

1 Fri, Sep 30 HW1 1.1-1.4

2 Fri, Oct 7 HW2 1.5-1.6, 4.1A Problem 6 was modified on Sep 29.
Problem 11 in 4.1 is meant to be the one on page 183.

3 Fri, Oct 14 HW3 4.1, 8.2 Problems from 4.1 are meant to be the ones on pages 183-184.
Removed problems from section 8.3 (Oct 7).

4 Fri, Oct 21 HW4 8.3 Added ex. 22 on page 183 (forgot to put it in the previous HW) and Problem 4 (Oct 13).
It would be helpful to finish this homework before the midterm (except maybe for Problems 3 and 4).
Removed Problem 3 (Oct 19).

5 Fri, Oct 28 HW5 The Two Body Problem,
4.2, 5.1.A Added what was Problem 3 in HW4 (Oct 19).

6 Mon, Nov 7 HW6 5.1, 4.3 Corrected a typo, exercise 53 in 4.3 doesn't exist, I meant 52 (Nov 1).

7 Mon, Nov 14 HW7 5.2, 5.3 In exercise 17 of 5.3, f should be assumed to be differentiable.

8 Mon, Nov 21 HW8 5.4, 4.4 Note that the due date is Monday, not Friday.

9 Mon, Nov 28 HW9 6.2, 6.1

10 Tues, Dec 6 HW10 6.3, 6.4A-C, Handout In Ex. 39 of 6.4 on page 293, the hint of the book uses sequences, which you're not supposed to know. Instead, try to prove that the complement of that set is open (to do this use the fact that f is continuous, i.e. use the epsilon-delta definition with appropriately chosen epsilon). This is enough since by your previous homework problem the set is closed if and only if its complement is open.

Assignment	Due Date	Exercises	Material	Comments
1	Fri, Sep 30	HW1	1.1-1.4
2	Fri, Oct 7	HW2	1.5-1.6, 4.1A	Problem 6 was modified on Sep 29. Problem 11 in 4.1 is meant to be the one on page 183.
3	Fri, Oct 14	HW3	4.1, 8.2	Problems from 4.1 are meant to be the ones on pages 183-184. Removed problems from section 8.3 (Oct 7).
4	Fri, Oct 21	HW4	8.3	Added ex. 22 on page 183 (forgot to put it in the previous HW) and Problem 4 (Oct 13). It would be helpful to finish this homework before the midterm (except maybe for Problems 3 and 4). Removed Problem 3 (Oct 19).
5	Fri, Oct 28	HW5	The Two Body Problem, 4.2, 5.1.A	Added what was Problem 3 in HW4 (Oct 19).
6	Mon, Nov 7	HW6	5.1, 4.3	Corrected a typo, exercise 53 in 4.3 doesn't exist, I meant 52 (Nov 1).
7	Mon, Nov 14	HW7	5.2, 5.3	In exercise 17 of 5.3, f should be assumed to be differentiable.
8	Mon, Nov 21	HW8	5.4, 4.4	Note that the due date is Monday, not Friday.
9	Mon, Nov 28	HW9	6.2, 6.1
10	Tues, Dec 6	HW10	6.3, 6.4A-C, Handout	In Ex. 39 of 6.4 on page 293, the hint of the book uses sequences, which you're not supposed to know. Instead, try to prove that the complement of that set is open (to do this use the fact that f is continuous, i.e. use the epsilon-delta definition with appropriately chosen epsilon). This is enough since by your previous homework problem the set is closed if and only if its complement is open.