Summer 2020 - MATH 419 D100

Linear Analysis (3)

Class Number: 1277

Delivery Method: In Person


  • Course Times + Location:

    Mo 12:30 PM – 2:20 PM
    SWH 10061, Burnaby

    We 12:30 PM – 1:20 PM
    SWH 10051, Burnaby

  • Exam Times + Location:

    Aug 18, 2020
    8:30 AM – 11:30 AM
    Location: TBA

  • Prerequisites:

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



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.


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

We will be covering Chapters 1, 3-6, 9, 10 of the text.

Homework: There will usually be a homework assignment every two weeks. The homework assignments are due on Tuesdays at 5pm in the box labelled Math 419/719. Late homework will not be accepted. The 1st homework will be due Tuesday the 26th 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.


Learning Objectives: Students who succeed in this class will

  • understand the basic objectives and methods of Harmonic analysis
  • be familiar with discrete and continuous Fourier analysis in one dimension
  • be familiar with the main ideas of Wavelet theory


  • Homework 30%
  • Midterm 20%
  • Project 20%
  • Final 30%



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

Registrar Notes:

SFU’s Academic Integrity web site 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.