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Course Syllabus
Readings are assigned from:
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Stein and Shakarchi: "Real Analysis: Measure Theory, Integration, and Hilbert Spaces"
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Assignments will be posted one week in advance of their due date, so make sure you press Ctrl-R to reload!
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WEEK |
LECTURE TOPICS |
READING |
HOMEWORK |
Week 1 09/03, 09/06 |
Lecture 9/03
Notes
Lecture 9/06
Notes
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1.1-1.3 Cauchy's Famous Wrong Proof
Solovay's model (ZF+Ax of Dependent Choice=all sets are measurable)
Ostrowski's Theorem
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Ch. 1.6, Exercises: 1-6, 9-11 Problems: 2-4 Due Fri 9/13 |
Week 2 09/10, 09/13 |
Lecture 9/10
Notes
Lecture 9/13
Notes
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1.3-1.4 |
Ch. 1.6, Exercises: 12, 14, 15, 16, 17, 18, 19 Problem: 5 Due Fri 9/20 |
Week 3 09/17, 09/20 |
QUIZ: 9/20
Lecture 9/17
Notes
Lecture 9/20
Notes
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1.4-1.5 |
Ch. 1.6, Exercises: 20, 21, 22, 23, 24, 26, 27, 36 Problems: 1 Due Fri 9/27 |
Week 4 09/24, 09/27 |
Lecture 9/24
Notes
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1.5 Review |
STUDY No homework Due Fri 10/04 |
Week 5 10/01, 10/04 |
10/01: MIDTERM 1
Lecture 10/04
Notes
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Ch. 6 |
Ch 2.5, Exercises: 1, 6, 9 Ch. 6.7, Exercises: 2,3 Due Fri 10/11 |
Week 6 10/08, 10/11 |
Lecture 10/08
Notes
Lecture 10/11
Notes
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Ch. 2, Ch. 6 |
Ch 2.5, Exercises: 4, 8, 10, 11, 12 Ch 2.6, Problem 3 Due Fri 10/18 |
Week 7 10/15, 10/18 |
Lecture 10/15
Notes
Lecture 10/18
Notes
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Ch. 6.3, 6.5 |
Ch 6.7, Exercises: 5, 9, 11, 12, 13, 14, Ch 6.8, Problem 1 Due TUES 10/29 |
Week 8 10/22, 10/25 |
Lecture 10/25
Notes
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Ch. 3 |
Ch 3.5, Exercises: 1, 2, 3, 4, 5, 20, 24, 32 Ch 3.6, Problem 2 Due TUES 11/05 |
Week 9 10/29, 11/01 |
QUIZ 11/01
Lecture 10/29
Notes
Lecture 11/01
Notes
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Ch. 3 |
STUDY! (And hwk due 11/5) |
Week 10 11/05, 11/08 |
11/08: MIDTERM 2 |
Review |
Ch 6.7, Exercises: 9, 10 Due Fri 11/15 |
Week 11 11/12, 11/15 |
Lecture 11/12
Notes
Lecture 11/15
Notes
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Ch. 4, Ch. 6 |
Ch 4.7, Exercises: 1,2,3,5,6,10,13 Ch 4.8, Problem 1 Due Fri 11/22 |
Week 12 11/19, 11/22 |
Lecture 11/19
Notes
Lecture 11/22
Notes
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Ch. 3 |
Ch 3.5, Exercises: 11, 12, 14, 15, 16, 23, 25 Ch 3.6, Problem 5 Due Fri 12/06 |
Week 13 11/27 |
Lecture 11/27
Notes
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Ch 3 |
See Week 12 Due Fri 12/06 |
Week 14 12/03, 12/06 |
Lecture 12/03
Notes
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Ch 3 |
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Week 15 12/10 |
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REVIEW |
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