Simon Fraser University
Engaging the World

Course Outlines

Fall 2018 - MATH 418 D100

Partial Differential Equations (3)

Class Number: 4440

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 4 – Dec 3, 2018: Mon, Wed, Fri, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 6, 2018
    Thu, 3:30–6:30 p.m.
    Burnaby

  • Prerequisites:

    MATH 310 and one of MATH 314, 320, 322, PHYS 384. An alternative to the above prerequisite is both of MATH 254 and 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:

  • First-order linear equations, the method of characteristics
  • Propagation and the wave equation  
  • Fourier series and orthogonal expansions  
  • Harmonic functions, the maximum principle, Green's functions  
  • Diffusion and the heat equation  
  • Distributions and Fourier transforms  
  • As time permits: Higher-dimensional eigenvalue problems, an introduction to nonlinear equations, Burgers' equation and shock waves; calculus of variations

Grading

  • Homework 35%
  • Midterm 25%
  • Final Exam 40%

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.

Materials

REQUIRED READING:

Partial Differential Equations
Walter A. Strauss
2/E, Wiley

This eText will be available for purchase through the SFU Bookstore. This eText is identical to the print version of the 2nd edition, should students wish to acquire a hard-copy.
ISBN: 9780470473184

Partial Differential Equations: A First Course
Rustum Choksi

Note: the Choksi notes will be available through your SFU Canvas container. No purchase required.

Registrar Notes:

SFU’s Academic Integrity web site http://students.sfu.ca/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

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS