Rutgers University   MAT 640:501 - Theory of Functions of a Real Variable I
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Readings are assigned from:
Stein and Shakarchi: "Real Analysis: Measure Theory, Integration, and Hilbert Spaces"

Assignments will be posted one week in advance of their due date, so make sure you press Ctrl-R to reload!

WEEK LECTURE TOPICS READING HOMEWORK
Week 1
09/03, 09/06
Lecture 9/03 Notes
Lecture 9/06 Notes
1.1-1.3
Cauchy's Famous Wrong Proof
Solovay's model (ZF+Ax of Dependent Choice=all sets are measurable)
Ostrowski's Theorem
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
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
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
1.5
Review
STUDY
No homework
Due Fri 10/04
Week 5
10/01, 10/04
10/01: MIDTERM 1
Lecture 10/04 Notes
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
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
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 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
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
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
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 Ch 3 See Week 12
Due Fri 12/06
Week 14
12/03, 12/06
Lecture 12/03 Notes Ch 3
Week 15
12/10
REVIEW