Fall 2021 - MATH 418 D100

Partial Differential Equations (3)

Class Number: 1240

Delivery Method: In Person

Overview

  • Course Times + Location:

    Mo, We, Fr 12:30 PM – 1:20 PM
    RCB 8100, Burnaby

  • Exam Times + Location:

    Dec 15, 2021
    8:30 AM – 11:30 AM
    AQ 3003, Burnaby

  • Instructor:

    Razvan Fetecau
    van@sfu.ca
    1 778 782-3335
  • 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:

COVERAGE:

  • 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

Course Delivery

  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

NOTE: THIS IS A CROSS-LISTED COURSE WITH MATH 718.
Students registered in MATH 718 will be required to submit extra written & computational/graphics problems based upon the lectures.

Grading

  • Homework/ Quizzes 25%
  • Midterm 20%
  • Final 55%

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: A First Course
Rustum Choksi

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

RECOMMENDED READING:

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

Note: 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

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 2021

Teaching at SFU in fall 2021 will involve primarily in-person instruction, with approximately 70 to 80 per cent of classes in person/on campus, with safety plans in place.  Whether your course will be in-person or through remote methods will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware 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 may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the fall 2021 term.