Simon Fraser University
Engaging the World

Course Outlines

Summer 2018 - MATH 419 D100

Linear Analysis (3)

Class Number: 4692

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 7 – Aug 3, 2018: Mon, 12:30–2:20 p.m.
    Burnaby

    May 7 – Aug 3, 2018: Wed, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Aug 8, 2018
    Wed, 8:30–11:30 a.m.
    Burnaby

  • Prerequisites:

    MATH 232 or 240 and one of MATH 314, 320, 322, PHYS 384.

Description

CALENDAR DESCRIPTION:

Convergence in Euclidean spaces, Fourier series and their convergence, Legendre polynomials, Hermite and Laguerre polynomials. Students with credit for MATH 420 or MATH 719 may not complete this course for further credit Quantitative.

COURSE DETAILS:

Topics: Fourier series, discrete Fourier and Haar analysis, the Fourier transform, wavelet transforms.

We will be covering...

Homework: There will usually be a homework assignment every two weeks. The homeworks are due
on Tuesdays at 5pm in the box labelled Math 419. Late homework will not be accepted. The 1st
homework will be due Tuesday the 22nd of May.

You are encouraged to discuss the homework assignments with other students in the class. However,
what you hand in must be your own work. That means that you should write up your solutions on
your own. Copying another student's assignment is plagiarism. Furthermore, if you use any written or
web resources other than textbook in solving the questions, the source must be acknowledged in your
assignment.

COURSE-LEVEL EDUCATIONAL GOALS:

Learning Objectives: Students who succeed in this class will

  • know and understand the basic de nitions and theorems of functional analysis.
  • be able to prove statements about Banach spaces, Hilbert spaces, and linear operators on these spaces.
  • be ready to read literature in other elds that is expressed in the language of functional analysis.

Grading

  • Grading Scheme: Homework: 30%, Midterm: 20%, Project: 20%, Final: 30%.

Materials

REQUIRED READING:

Harmonic Analysis: From Fourier to Wavelets, by Pereyra and Ward.
ISBN: 978-0821875667

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