# Real Analysis Syllabus - Fall 2003

8/201.2Absolute Value6, 8a, 11, 20, 23, 30, 32, 33, 34
221.3Suprema and Infima8, 9, 10, 11, 12, 26, 28, 29, 30
252.1Sequences4, 7, 9, 10, 15, 16, 21, 22
272.1Properties of Sequences11, 13, 17, 19, 20, 23, 24, 25, 36
29 Quiz #1
9/32.2Monotone Sequences1, 2, 3, 5, 6, 7, 8, 10
52.2Cauchy Sequences12, 13, 15, 16, 19, 20, 24, 36, 38
82.3Subsequences2, 3, 5, 6, 9, 13, 14, 15
102.4Supplementary Exercises2, 4, 6, 7, 9, 12, 15, 26
12 Review
15 Test #1
173.1Limits of Functions4, 5, 6, 20abc, 25, 30, 34ade, 35
193.1Properties of Limits2, 7, 8, 11, 15, 27, 29, 36, 37
223.2Continuity2, 3, 7, 8, 9, 10, 11, 25, 30
243.3Intermediate Value Theorem1, 5, 7, 9, 29, 32, 34, 35, 36
26 Quiz #2
293.3Extreme Value Theorem12, 13, 15, 16, 17, 18, 19, 20
10/13.4Uniform Continuity2bcde, 3, 4, 5, 6ab, 7, 8, 10, 15abc
33.5Monotone Functions1, 2, 5cd, 6, 7, 8, 30, 31, 32
83.6Supplementary Exercises2, 4, 7, 8, 13, 19, 21, 25, 29
10 Review
13 Test #2
154.1Derivatives1ab, 2, 5, 8, 9, 10, 12, 13
174.1Chain Rule16, 17, 18, 20, 25, 26, 29, 31
204.2Mean Value Theorem1, 2, 11, 16, 18, 20, 22, 24, 26
224.21st and 2nd Derivative Tests 29, 30, 31, 32, 33, 35, 36, 38a
24 Quiz #3
274.3Concavity1, 4, 5, 6, 7, 8, 10, 11
294.3Convexity14, 15, 17, 18, 19, 20, 24, 26, 34
314.4Supplementary Exercises4, 5, 6, 9, 13, 18, 20, 21, 24
11/3 Review
5 Test #3
75.1Integrals3, 6, 7, 9, 10, 11, 12, 13, 19
105.2Cauchy Criterion1, 2, 3, 4, 12, 19
125.2Oscillation Condition6, 7, 10, 11, 13, 14, 15, 20
145.3Interval Properties1, 3, 4, 8, 9, 10, 11, 12
17 Quiz #4
195.3Fundamental Theorem14, 19, 21, 22, 23, 24, 25, 26, 28
215.4Integrable Functions1, 2, 3, 5, 6, 7, 14, 16
245.6Supplementary Exercises1, 2, 4, 6, 8, 10a, 11, 20
26 Review
12/1 Test #4
3 Review for Final
8 Final Exam (1:00-3:00)