Summer 2020 - MATH 719 G100

Linear Analysis (3)

Class Number: 1278

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 11 – Aug 10, 2020: Mon, 12:30–2:20 p.m.
    Burnaby

    May 11 – Aug 10, 2020: Wed, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Aug 18, 2020
    Tue, 8:30–11:30 a.m.
    Location: TBA

Description

CALENDAR DESCRIPTION:

Convergence in Euclidean spaces, Fourier series and their convergence, Legendre polynomials, Hermite and Laguerre polynomials. 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:

 Topics: Fourier series, discrete Fourier and Haar analysis, the Fourier transform, wavelet transforms.
 
Due to the COVID-19 Pandemic this course will be taught entirely remotely. I will give lectures at the scheduled time using BB Collaborate Ultra which is an application within Canvas. Office hours will also be done using the same system. All assignments and the final exam will be submitted remotely through CrowdMark.
 
The text is Harmonic Analysis: From Fourier to Wavelets, by Pereyra and Ward. ISBN: 978-0821875667 It is required for the course, but an electronic copy is perfectly adequate. Electronic copies may be purchased directly from the publisher. We will be covering Chapters 1, 3-6, 9, 10 of the text.

Homework: There will be a Homework Zero due on Tuesday May 19th. This will be graded just on participation and we'll use it to make sure the CrowdMark system is working.
There will be a total of 6 proper homework assignments, one due every two weeks starting Tuesday June 2nd.

Projects: Students taking Math 419 will complete a term project in groups of two or three. Students taking Math 719 will complete a term project on their own. Term project will consist of a written report between 10 and 20 pages, including figures and bibliography. Earlier in the term students will submit a rough draft, and have an opportunity to respond to feedback I give on it in their final draft.

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.

MATH 719 is cross-listed with MATH 419. Students enrolled in the graduate section (MATH 719) will be assigned additional homework questions, different exam questions, and will be required to submit a more extensive project.

COURSE-LEVEL EDUCATIONAL GOALS:

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

Grading

  • Homework 0 5%
  • Six homework assignments 60%
  • First draft of term projec 5%
  • Final draft of term project 15%
  • Final 15%

Materials

REQUIRED READING:

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

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 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

TEACHING AT SFU IN SUMMER 2020

Please note that all teaching at SFU in summer term 2020 will be conducted through remote methods. Enrollment in this course acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as soon as possible to ensure that they are eligible and that approved accommodations and services are implemented in a timely fashion.