Spring 2023 - MATH 831 G100

Real Analysis I (4)

Class Number: 6504

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 4 – Apr 11, 2023: Wed, Fri, 12:30–2:20 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

An intensive study of Lebesque measure, integration and the Lebesque convergence theorems together with the treatment of such topics as absolute continuity, the fundamental theorem of calculus, the Lp-spaces, comparison of types of convergence in function spaces, the Baire category theorem.

COURSE DETAILS:

This course will focus tools that are widely used in analysis. The main topics include: introduction to Hilbert and Banach spaces, L^p spaces and various inequalities, fine properties of functions and measures, Sobolev spaces and embeddings,  weak compactness in various function spaces, and Fourier analysis. 

Grading

  • Homework 40%
  • Midterm 20%
  • Final 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

MATERIALS + SUPPLIES:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings,
this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable
internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in
a computer is sufficient).

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