Simon Fraser University
Engaging the World

Course Outlines

Fall 2023 - MATH 725 G100

Real Analysis (3)

Class Number: 2122

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 6 – Dec 5, 2023: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

    Oct 10, 2023: Tue, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 18, 2023
    Mon, 3:30–6:30 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

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.

COURSE DETAILS:

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.

Grading

  • Assignments (weekly) 30%
  • Midterm 1 15%
  • Midterm 2 15%
  • Final Exam 40%

NOTES:

Note: Students enrolled in MATH 725 will be provided with additional problems on homework assignments and exams.

Materials

REQUIRED READING:

Real Analysis : Measure Theory, Integration, and Hilbert Spaces
Stein, Elias M.; Shakarchi, Rami
Princeton University Press
2005
ISBN: 9780691113869

RECOMMENDED READING:

Real Analysis
Folland, Gerald
Wiley;1999; 2E
ISBN: 9780471317166

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

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.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website 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

RELIGIOUS ACCOMMODATION

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.