# Fall 2021 - MATH 418 D100

## 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.

• 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

Partial Differential Equations: A First Course
Rustum Choksi

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

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