Fall 2019 - MATH 725 G100
Real Analysis (3)
Class Number: 4118
Delivery Method: In Person
Metric spaces, normed vector spaces, measure and integration, an introduction to functional analysis. Students may not take a 700 division course if it is being offered in conjunction with a 400 division course which they have taken previously.
We will be covering the content of Chapters 1-3, and some of Chapters 6 and 7, from the text. The topics: Lebesgue measure, measurable sets, integration, differentiation, abstract measures and integration, signed measures and some point-set topology. Depending on available time, we will either cover the ergodic theorems or discuss Hausdorff measures.
- Homework (biweekly assignments, equally weighted) 40%
- Midterm exam 20%
- Final exam 40%
MATH 725 is cross-listed with MATH 425. Students enrolled in the graduate section MATH 725 will have additional problems on homework and exams; the in-class presentation (each student does 1 presentation) will be weighted more heavily on the content.
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester
Real Analysis : Measure Theory, Integration, and Hilbert Spaces
Stein, Elias M.; Shakarchi, Rami
Princeton University Press
Graduate Studies Notes:
Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS