Simon Fraser University
Engaging the World

Course Outlines

Spring 2018 - APMA 905 G100

Applied Functional Analysis (4)

Class Number: 12601

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 3 – Apr 10, 2018: Tue, 2:30–4:20 p.m.
    Burnaby

    Jan 3 – Apr 10, 2018: Thu, 2:30–4:20 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

Infinite dimensional vector spaces, convergence, generalized Fourier series. Operator Theory; the Fredholm alternative. Application to integral equations and Sturm-Liouville systems. Spectral theory.

COURSE DETAILS:

In this course we will cover topics in functional analysis that are useful tools for PDE analysis and numerical analysis.
Particular subjects include: the distribution theory, various fixed point theorems, Banach spaces and Hilbert spaces and the theory of operators.

Grading

  • Homework 30%
  • Midterm 20%
  • Final 50%

Materials

RECOMMENDED READING:


D.H. Griffel, Applied Functional Analysis, Dover 1985.

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer 2011.

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://students.sfu.ca/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