Math 110.416 - Honors Real Analysis II

Lecture Schedule and Homework Assignments | General Information and Syllabus

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.

Announcements: 


Tentative schedule (it will be updated weekly) :
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.