Simon Fraser University
Engaging the World

Course Outlines

Fall 2021 - MATH 425 D100

Real Analysis (3)

Class Number: 2390

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 8 – Dec 7, 2021: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 16, 2021
    Thu, 8:30–11:30 a.m.
    Burnaby

  • Prerequisites:

    MATH 320 with a minimum grade of C-.

Description

CALENDAR DESCRIPTION:

Metric spaces, normed vector spaces, measure and integration, an introduction to functional analysis. Quantitative.

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 ergodic theorems or discuss Hausdorff measures.

Grading

  • Assignments (weekly) 35%
  • Midterm exam 25%
  • Final exam 40%

NOTES:

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

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

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

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

TEACHING AT SFU IN FALL 2021

Teaching at SFU in fall 2021 will involve primarily in-person instruction, with approximately 70 to 80 per cent of classes in person/on campus, with safety plans in place.  Whether your course will be in-person or through remote methods will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the fall 2021 term.