Fall 2023 - MATH 725 G100
Real Analysis (3)
Class Number: 2122
Delivery Method: In Person
Course Times + Location:
Sep 6 – Dec 5, 2023: Mon, Wed, Fri, 1:30–2:20 p.m.
Oct 10, 2023: Tue, 1:30–2:20 p.m.
Exam Times + Location:
Dec 18, 2023
Mon, 3:30–6:30 p.m.
1 778 782-6990
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 ergodictheorems or discuss Hausdorff measures.
- Assignments (weekly) 30%
- Midterm 1 15%
- Midterm 2 15%
- Final Exam 40%
Note: Students enrolled in MATH 725 will be provided with additional problems on homework assignments and exams.
Real Analysis : Measure Theory, Integration, and Hilbert Spaces
Stein, Elias M.; Shakarchi, Rami
Princeton University Press
REQUIRED READING NOTES:
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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.
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
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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
Students with a faith background who may need accommodations during the semester are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.