MAT 324: Real Analysis

Stony Brook            Fall 2017

 

Announcements

general information about the course (updated 08/29/17), official erratum for the textbook, some comments and additional corrections (updated 11/28/17), first-day quiz, Countable Axiom of Choice

Teaching Staff

Instructor Aleksey Zinger OHs: Tu 2:30-4pm, Th 11:30am-1pm in Math 3-111
TA Yuhan Sun OHs: W 4-5pm in Math 5-125B, 5-7pm in MLC
Math Learning Center (MLC)

Schedule

Date TopicRead Problem Set
8/29, TuReview and introduction Chapter 1#1
solutions
8/31, ThOuter measure Sections 2.1,2.2
9/5, Tuno class, no office hours
9/7, ThMeasurable subsets Section 2.3, p302#2
solutions
9/12, TuProperties of measurable subsets Sections 2.3,2.4
9/14, ThMeasure spaces, Borel sets Sections 2.4,2.5
9/19, TuProbability spaces, measurable functions Sections 2.5-2.7,3.1-3.3 #3
solutions
9/21, ThProperties of measurable functions Sections 3.3,3.4
9/26, TuProbability distributions Sections 3.4-3.6#4
solutions
9/28, ThLebesgue integral Section 4.1
10/03, TuMonotone convergence Section 4.2#5
solutions
10/05, ThIntegrable functions Section 4.3
10/10, TuDominated convergence Section 4.4#6
solutions
10/12, ThRiemann vs. Lebesgue integration Sections 4.5,4.6
10/17, TuApproximating measurable functions Sections 4.6-4.8bonus
solutions
10/19, Th midterm in class: info, exam, solutions
10/24, TuThe Banach spaces Lp Sections 5.1,5.3 #7
solutions
10/26, Th
10/31, TuModes of convergence Sections 8.1,5.2#8
solutions
11/02, ThThe Hilbert space L2 Sections 5.2,5.4,5.5
11/07, TuInner-product spaces Section 5.2#9
solutions
11/09, ThProduct measure spaces Section 6.1-6.3
pp160-164 in here
11/14, TuFubini's Theorems Sections 6.4-6.6
pp164-170 in here		 #10
solutions
11/16, Th
11/21, Th
11/23, Thno class, no office hours
11/28, TuRadon-Nikodym Theorem Sections 7.1,7.2 #11
solutions
11/30, Th
12/5, TuDiscussion/review everything
12/7, Th
12/15, F final exam, 11:15am-1:45pm: info, review questions I, review questions II, exam
 
This page is maintained by Aleksey Zinger.
Last modified: December 16, 2017.