Simon Fraser University
Engaging the World

Course Outlines

Fall 2019 - MATH 725 G100

Real Analysis (3)

Class Number: 4118

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 3 – Dec 2, 2019: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 8, 2019
    Sun, 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 ergodic theorems or discuss Hausdorff measures.

Grading

  • Homework (biweekly assignments, equally weighted) 40%
  • Midterm exam 20%
  • Final exam 40%

NOTES:


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

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

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:

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