Real Analysis II
3
In person
Tu/Th 9:30-10:50am
Wachman 617
Wachman 614
n/a
Tu/Th 11:00am-12:00pm or by appointment
"Measure and Integral: An Introduction to Real Analysis" 2nd ed. by Wheeden and Zygmund
25% Homework
20% In Class Presentations
30% Midterms (2 exams, 15% each)
25% Final Exam
Homework
Homework will be due on (most) Fridays by noon and is to be submitted electronically via Canvas. There will be 8 homework assignments averaging around 6 or 7 problems per assignment. All problems on each assignment will be graded by the instructor.
In Class Presentations
Problem Set Presentations + Written Solution
There will be two assignments throughout the semester for which all solutions will be presented in class by the students. This is separate from the homework assignments. Each student will find out which problem they are to present during the class when presentations occur, so each student should come prepared to present any problem. Each student will present their problem in class then will have one week to submit a written solution. Student solutions will be compiled into a solution set and shared on Canvas. The problem set presentation days are scheduled for Thursday, January 30 and Thursday, March 20.
Lecture Presentations
Each student will be tasked with presenting part of the lecture content twice throughout the semester. The instructor will contact each student at least two days prior to their presentation (with a goal of contacting students a week prior) with instructions regarding the specific content they are to cover. Examples of content a student may be asked to present are proofs of theorems or explanations of examples given in the textbook.
Midterms
There will be two in-class, closed book midterms throughout the semester. They are scheduled for Thursday, February 20 and Thursday, April 10.
Final Exam
The final exam is scheduled for Thursday, May 1 8:00-10:00am in Wachman 617.
Real Analysis I or knowledge of Lebesgue measure and integration in n-dimensional spaces.
Students will develop a deep working understanding of the core topics in (roughly) Chapters 7-12 of the text (see topics covered below for details). There will bean emphasis on developing students' proof writing skills.
This is the second semester of a year-long course in Real Analysis. This semester will build on the ideas of Lebesgue integration developed in the first semester but move on to more abstract settings. Topics for this semester are:
- Abstract measures and integration
- Differentiation and maximal functions
- Lp-spaces
- Outer measures
- Basic functional analysis
- Fourier transform
Midterm 1: Thursday, February 20
Midterm 2: Thursday, April 10
Final Exam: Thursday, May 1
Problem Set Presentations 1: Thursday, January 30
Problem Set Presentations 2: Thursday, March 20
Students are expected to attend every class unless they are sick or have a valid conflict.
https://templeu.instructure.com/courses/154523
To achieve course learning goals, students must attend and participate in classes, according to the course requirements. However, if you have tested positive for or are experiencing symptoms of a contagious illness, you should not come to campus or attend in-person classes or activities. It is the student’s responsibility to contact me to create a plan for participation and engagement in the course as soon as you are able to do so, and to make a plan to complete all assignments in a timely fashion.
It is important to foster a respectful and productive learning environment that includes all students in our diverse community of learners. Our differences, some of which are outlined in the University's nondiscrimination statement, will add richness to this learning experience. Therefore, all opinions and experiences, no matter how different or controversial they may be perceived, must be respected in the tolerant spirit of academic discourse.
Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in Howard Gittis Student Center South, Rm 420 (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.
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