Real Analysis Syllabus - Fall 2003

Date	Section	Topic	Homework
8/20	1.2	Absolute Value	6, 8a, 11, 20, 23, 30, 32, 33, 34
22	1.3	Suprema and Infima	8, 9, 10, 11, 12, 26, 28, 29, 30
25	2.1	Sequences	4, 7, 9, 10, 15, 16, 21, 22
27	2.1	Properties of Sequences	11, 13, 17, 19, 20, 23, 24, 25, 36
29		Quiz #1
9/3	2.2	Monotone Sequences	1, 2, 3, 5, 6, 7, 8, 10
5	2.2	Cauchy Sequences	12, 13, 15, 16, 19, 20, 24, 36, 38
8	2.3	Subsequences	2, 3, 5, 6, 9, 13, 14, 15
10	2.4	Supplementary Exercises	2, 4, 6, 7, 9, 12, 15, 26
12		Review
15		Test #1
17	3.1	Limits of Functions	4, 5, 6, 20abc, 25, 30, 34ade, 35
19	3.1	Properties of Limits	2, 7, 8, 11, 15, 27, 29, 36, 37
22	3.2	Continuity	2, 3, 7, 8, 9, 10, 11, 25, 30
24	3.3	Intermediate Value Theorem	1, 5, 7, 9, 29, 32, 34, 35, 36
26		Quiz #2
29	3.3	Extreme Value Theorem	12, 13, 15, 16, 17, 18, 19, 20
10/1	3.4	Uniform Continuity	2bcde, 3, 4, 5, 6ab, 7, 8, 10, 15abc
3	3.5	Monotone Functions	1, 2, 5cd, 6, 7, 8, 30, 31, 32
8	3.6	Supplementary Exercises	2, 4, 7, 8, 13, 19, 21, 25, 29
10		Review
13		Test #2
15	4.1	Derivatives	1ab, 2, 5, 8, 9, 10, 12, 13
17	4.1	Chain Rule	16, 17, 18, 20, 25, 26, 29, 31
20	4.2	Mean Value Theorem	1, 2, 11, 16, 18, 20, 22, 24, 26
22	4.2	1^st and 2^nd Derivative Tests	29, 30, 31, 32, 33, 35, 36, 38a
24		Quiz #3
27	4.3	Concavity	1, 4, 5, 6, 7, 8, 10, 11
29	4.3	Convexity	14, 15, 17, 18, 19, 20, 24, 26, 34
31	4.4	Supplementary Exercises	4, 5, 6, 9, 13, 18, 20, 21, 24
11/3		Review
5		Test #3
7	5.1	Integrals	3, 6, 7, 9, 10, 11, 12, 13, 19
10	5.2	Cauchy Criterion	1, 2, 3, 4, 12, 19
12	5.2	Oscillation Condition	6, 7, 10, 11, 13, 14, 15, 20
14	5.3	Interval Properties	1, 3, 4, 8, 9, 10, 11, 12
17		Quiz #4
19	5.3	Fundamental Theorem	14, 19, 21, 22, 23, 24, 25, 26, 28
21	5.4	Integrable Functions	1, 2, 3, 5, 6, 7, 14, 16
24	5.6	Supplementary Exercises	1, 2, 4, 6, 8, 10a, 11, 20
26		Review
12/1		Test #4
3		Review for Final
8		Final Exam (1:00-3:00)