# Summer 2020 - MATH 419 D100

## Overview

• #### 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

• #### Instructor:

Paul Tupper
pft3@sfu.ca
1 778 782-8636
• #### 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 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.

#### 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

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