APM3701/103/1/2015
Tutorial Letter 103/1/2015
Partial Differential Equations
APM3701
Semester 1
Department of Mathematical Sciences
IMPORTANT INFORMATION:
This tutorial letter contains May/June
2015 Exam Letter
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MATLAB Tutorial
to accompany
Partial Differential Equations: Analytical and Numerical
Methods, 2nd edition
by
Mark S. Gockenbach
(SIAM, 2010)
MATLAB Tutorial . 1
Introduction . 3
About this tutorial. 3
About MATLAB . 3
MATLAB M-Book. 3
Getting help with M

APM3701/202/1/2015
Tutorial Letter 202/1/2015
Partial Differential Equations
APM3701
Semester 1
Department of Mathematical Sciences
This tutorial letter contains solutions
to assignment 02.
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university
of south africa
QUESTIO

An Introduction
to
Applied Partial Differential Equations
Marek Z. Elzanowski
Department of Mathematics and Statistics
Portland State University
Contents
Preface
ix
Chapter 1. Boundary Value Problems
1
1.1. Elastic Bar
1
1.2. The Greens Function
5
1.3. Mi

APM3701/101/3/2016
Tutorial Letter 101/3/2016
Partial Differential Equation
APM3701
Semesters 1 & 2
Department of Mathematical Sciences
IMPORTANT INFORMATION:
This tutorial letter contains important
information about your module.
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APM3701/201/1/2015
Tutorial Letter 201/1/2015
Partial Differential Equations
APM3701
Semester 1
Department of Mathematical Sciences
This tutorial letter contains solutions
to assignment 01.
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university
of south africa
QUESTIO

Chapter
6
The heat equation
In this chapter, we will present a short and far from exhaustive theoretical study of
the heat equation, then describe and analyze a few approximation methods. We will
mostly work in one dimension of space, some of the results

Math 3363
Review sheet answers
Final Exam
1
Name_
1.
Which of the following functions, when extended as 2 periodic functions, are equal to
their Fourier series (for all x)? (Hint: DO NOT compute Fourier coefficients).
a.
f(x) = sin(x/2), - < x
6 pts
b.
f

SOLUTIONS TO THE HEAT AND WAVE EQUATIONS AND
THE CONNECTION TO THE FOURIER SERIES
IAN ALEVY
Abstract. We discuss two partial differential equations, the wave and heat
equations, with applications to the study of physics. First we derive the equations from

Series
FOURIER SERIES
Graham S McDonald
A self-contained Tutorial Module for learning
the technique of Fourier series analysis
Table of contents
Begin Tutorial
c 2004 g.s.mcdonald@salford.ac.uk
Table of contents
1.
2.
3.
4.
5.
6.
7.
Theory
Exercises
Ans

Neumann Boundary Conditions
Robin Boundary Conditions
The one dimensional heat equation:
Neumann and Robin boundary conditions
Ryan C. Daileda
Trinity University
Partial Differential Equations
February 28, 2012
Daileda
The heat equation
Neumann Boundary C

2013 University of South Africa
All rights reserved
Printed and published by the
University of South Africa
Muckleneuk, Pretoria
APM3701/1/2014
70100438
InDesign
Team:
Author:
Dr JMW Munganga
ODL Learning Design:
Hentie Wilson, Cirriculum
Mathematics Ins

APM2614/202/2/2016
Tutorial Letter 202/2/2016
APPLIED DYNAMICAL SYSTEMS
APM2614
Semester 2
Department of Mathematical Sciences
This tutorial letter contains solutions
for assignment 02.
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university
of south africa
Dear Student,
Th