Week 7: Lebesgue spaces, duality, Folland 6.2-6.4 (Homework 6, due 11/14) Week 6: Lebesgue spaces, introduction, Folland 6.1 (Homework 5, due 11/7) Lecture notes (Lecture 11-15) Week 5: Functions of bounded variation, absolutely continuous functions, (Folland 3.5) Repetition and Midterm Week 4: Signed measures and Radon-Nidokym theorem, Differentiation in Euclidean space, Folland 3.1-3.2, 3.4 (Homework 4 due 10/24) L ecture notes (Lectures 7-10) Week 3: Integration, Product measures and integration, Folland 2.2-2.3, 2.5-2.6 Lecture notes (Lectures 4-6) Week 2: Lebsegue measure, measurable functions, modes of convergence, Folland 1.5, 2.1, 2.4 (Homework 2 due 10/10) Week 1: Sigma-algebras, measures, outer measures, Borel measures on the real line, Folland chapter 1 (Homework 1, due 10/3) Lecture notes (Lectures 1-3)
There will be 8 assignments during the quarter.Īssignment 1 (due 10/03) Assignment 5 (due 11/07)Īssignment 2 (due 10/10) Assignment 6 (due 11/14)Īssignment 3 (due 10/17) Assignment 7 (due 11/21)Īssignme nt 4 (due 10/24) Assignment 8 (due 12/05)įinal exam will consist of 7-8 problems and all but one will be either from homework assignments or from the list of 30 problems below. Weekly homework assignments are due each Thursday, the first one is due September 3rd. Office hours: T 12:30-1:30 pm and F 3:00-4:00 pmįolland, Real Analysis, Modern techniques and their applications, chapters 1-3, 6-8, part of 10įinal, Wednesday, December 11, 8:30-11:30 am
0 kommentar(er)
