Simon Fraser University
Engaging the World

Course Outlines

Fall 2020 - APMA 901 G100

Partial Differential Equations (4)

Class Number: 3543

Delivery Method: Remote

Overview

  • Course Times + Location:

    Sep 9 – Dec 8, 2020: Wed, Fri, 10:30 a.m.–12:20 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

First order non-linear partial differential equations (PDEs) and the method of characteristics. Hamilton-Jacobi equation and hyperbolic conservation laws; weak solutions. Second-order linear PDEs (Laplace, heat and wave equations); Green's functions. Sobolev spaces. Second-order elliptic PDEs; Lax-Milgram theorem.

COURSE DETAILS:


This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.

Exams may require live streaming from your computer or phone or the installation and use of specialized software such as Proctorio. Proctorio is a browser extension that works in Chrome when installed on a computer running Linux, MacOS or Windows.

Grading

  • Homeworks and problem session participation 60%
  • Midterm examination 15%
  • Final examination 25%

NOTES:

Details on the ‘Participation’ component of the grading scheme: There will be weekly homework assignments and every 2 weeks we will allocate an additional 1 hour for student-led problem solving and discussions based on the assigned problem sets. Many of the assigned problems will be discussed this way, also touching on the relevant theoretical material that pertains to them. Students are expected to either lead a discussion from the board or actively participate from the audience. Solutions to some of the problems, in particular to those problems that have not been sufficiently discussed upon during discussions, will have to be submitted on paper. All assignments will be weighted equally.

REQUIREMENTS:

Access to highspeed internet, webcam.

Materials

REQUIRED READING:

Texts: PDEs is a vast subject, and your class notes will form an important resource. There is no perfect textbook for everyone, and I'm happy to provide you with additional suggestions. You're encouraged to be diligent about note-taking. 
 
We will broadly follow the sequence of topics in Chapters 1-6 in
- "Partial Differential Equations" by Lawrence Evans

We will refer to the exposition in 
- An introduction to partial differential equations by Renardy and Rogers (available as an ebook through the SFU library 

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 FALL 2020

Teaching at SFU in fall 2020 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment 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. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

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).