Simon Fraser University
Engaging the World

Course Outlines

Fall 2022 - MATH 418 D100

Partial Differential Equations (3)

Class Number: 4141

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 7 – Dec 6, 2022: Mon, Wed, Fri, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 17, 2022
    Sat, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    (MATH 260 or MATH 310) and one of MATH 314, MATH 320, MATH 322, PHYS 384, all with a minimum grade of C-. An alternative to the above prerequisite is both of (MATH 252 or MATH 254) and (MATH 260 or MATH 310), both with grades of at least A-.

Description

CALENDAR DESCRIPTION:

First-order linear equations, the method of characteristics. The wave equation. Harmonic functions, the maximum principle, Green's functions. The heat equation. Distributions and transforms. Higher dimensional eigenvalue problems. An introduction to nonlinear equations. Burgers' equation and shock waves. Quantitative.

COURSE DETAILS:

Note: this is a cross-listed course with MATH 718.

Grading

  • Homework (10 assignments weighted equally) 30%
  • Midterm 20%
  • Final 50%

NOTES:


THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks. Please pay careful attention to the options discussed in class at the beginning of the semester.

REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).

Materials

REQUIRED READING:

Partial Differential Equations: A First Course
Rustum Choksi
American Mathematical Society, 2022


The AMS offers both a hard copy and an electronic textbook from the AMS Bookstore: https://bookstore.ams.org/amstext-54/.
 
Note that members of the AMS receive a discount on texts - see the AMS website for more information: https://www.ams.org/membership.

Also note that AMS members may choose 1 free electronic book from the AMS Bookstore annually and that this textbook is eligible for this current promotion. Consult the AMS website for complete details.

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website 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