Instructor: Fei Lu [
feilu## ( ## = @math.jhu.edu) ]
Class meets: MW,1:30-2:45,Maryland 104
Recitation: F,1:30-2:20,Bloomberg 276; TA: Rong Tang
Office Hours: WM,12:30--1:30, Krieger 218
URL:
http://www.math.jhu.edu/~feilu/23Spring_Analysis/analysis416.html
Textbook: Real Analysis by N.L. Carothers.,Cambridge University Press,2000.
(Plan to cover Chapters 13-19,and selected topics to be updated along lectures.)
Grading Policy: homework (50%), midterm exams (20%) and a final (30%). No make-ups on homework or exams. See General Information and Syllabus for details and information on getting help.
week | Chapter | Homework | Due | Other | |
---|---|---|---|---|---|
1/23,1/25 | Chp13 Fn of Bounded variation | hw1: Chp13: 3,5,7,11,14,16,19 | 1/30 | solutions | |
1/30,2/1 | Chp 14 Rieman-Stieltjes integral | hw2: Chp14: 3,6,7,9,11,25,26 | 2/6 | solutions | |
2/6,8 | Chp 14 Rieman-Stieltjes integral Chp16 Lebesgue measure |
hw3: Chp14: 29,50,51,53 Chp16: 9,10,16 | 2/13 | solutions | |
2/13,15 | Chp16 Measurable sets |
hw4: Chp16: 17, 28,39,40,42ab,53 (i)(ii), 59 | 2/20 | solutions | |
2/20,2/22 | Chp16 A nonmeasurable set |
hw5: Chp16: 60,61,64,65,70; Chp 17: 4,6 | 2/27 | solutions | |
2/27,3/1 | Chp17 Measurable functions | hw6: Chp17: 14,19,31,33,36 | 3/6 | solutions | |
3/6,3/8 | Chp17 Approximation; Chp18 Lebesgue integral | hw7: Chp17: 35,41,44,45 | 3/13 | solutions | |
3/13,15 | Midterm Exam Chp18 |
No hw | |||
3/20 | Spring break | ||||
3/27,29 | Chp18 Lebesgue integral lecNote lecNote | hw8: Chp18: 3,6,9,10,11,18,22 | 4/3 | solutions | |
4/3,5 | Chp18 Dominated Convergence | hw9: Chp18: 23,24,27,29,43,47d,61 | 4/10 | solutions | |
4/10,12 | Chp15 Fourier series; Chp19: more on Fourier series | hw10: Chp15: 2,3,6,7,8,9,10 | 4/17 | solutions | |
4/17,19 | Chp19 Lp space | hw11: Chp19: 12, 15, 16, 19, 24,33, 39, 40 | 4/24 | solutions | |
4/24,26 | Chp19 Review |
No hw Suggested exe: Chp 19: 43, 46,49, 60 |
solutions | ||
5/1-8 | Final Exam: Monday,May 8th, 6-9pm. Maryland 104. Coverage: ALL. |