Problem sets

Day	Due	Assignments
1	1/13	Ch I sections 1, 2, 3, 4
	1/13	Problems Ch I: 3bc, 5a, 7cef
2	1/13	Ch II sections 1, 2
	1/13	Problems Ch II: 2ab, 3, 6
3	1/13	Ch II sections 3, 4
	1/13	Problems Ch II: 9, 10a, 11, 12, 13
		Some solutions for hw set 1.

4	1/20	Ch III section 1
	1/20	Problems Ch III: 1abc
5	1/20	Ch III section 2
	1/20	Problems Ch III: 3, 4, 5
6	1/20	Ch III section 3
	1/20	Problems Ch III: 8, 10, 11, 18
		Some solutions for hw set 2.

7	1/27	Ch III section 4
	1/27	Problems Ch III: 24
8	1/27	Ch III section 5
	1/27	Problems Ch III: 28, 31, 32, 33

9	2/3	Ch III section 5; re-read proof of main Theorem
10	2/3	Ch III section 6
11	2/3	Ch IV section 1
	2/3	Problems Ch IV: 1d, 2, 3, 4

		Solutions for the mid-term exam.

12	2/19	Ch IV section 2
	2/19	Problems Ch IV: 7
13	2/19	Ch IV section 3
	2/19	Problems Ch IV: 10c (give an epsilon-delta proof)
14	2/19	Ch IV section 4
	2/19	Problems Ch IV: 14ab, 16 (Hint for 14: read section IV.1 example 2)
15	2/19	Ch IV section 5
	2/19	Problems Ch IV: 19, 29ab
16	2/19	Ch IV section 6
	2/19	Problems Ch IV: 33ab, 42

17	2/24	Ch IV section 6
	2/24	Problems: the Hilbert curve.
		Here is an animation of the construction of the Hilbert curve.
18	2/24	Ch V sections 1, 2, 3
19	2/24	Ch V section 4

20	3/3	Ch VI section 1, 2
	3/3	Problems: 2, 11.
21	3/3	Ch VI section 3
	3/3	Problems: 5, 8.
		Here are the lecture notes on Riemann integrability.
22	3/3	Ch VI section 4

23	-	Ch VII section 1
	-	Problems: 3.
24	-	Ch VII section 2
	-	Problems: 9.
25	-	Ch VII section 3
	-	Problems: 18, 24.