Math 337 Introduction to PDEs July 05  Aug 11, 2010 M T W R F, 121:10 PM CAB 273 


Final
Marks by ID number 
Date

Contents 
Problem
of
the
day 
Homework 
July 05 
Introduction 1.1, 1.2 Classification  13.1
and 13.3 

06 
1.3 Side conditions, 1.4
linear PDE 
10.3 

07 
Derivation of diffusion
equation, 1.5 Steady states 
11.1 

08 
1.6 First example of
Separation 
12.1 

09 
2.1 PWC, 2.2 Even, odd,
periodic, 2.3 orthogonal, linear algebra 
10.1
and 15.6 

12 
2.4 Fourier series, Exer.
9.16 a) 
10.5 

13 
2.5 Convergence, 2.6
Operations on FS, 2.7 Mean Error, 2.8 Complex Form 
10.16 
HW1 due: 17.3, 17.9, 18.3, 18.14 Solutions 
14 
3 Separation, Exer. 3.1
heat eq + Neumann, Exer. 3.2 Telegraph 
11.7 

15 
3.2 Nonhomogeneous 
11.13 

16 
(3.3 heat source, as time
allows), 9 Method of Characteristics 
14.4 

19 
Characteristics >
D'Alembert, Exer 14.12 
12.7 +
12.8 

20 
4 SturmLiouville
problems, 4.3 Eigenfunction expansions 
look
over 15.1, do 15.9 
HW2 due: 17.2, 18.5, 18.6, 18.7, 18.9 Solutions 
21 
Examples, Exer 15.15 
11.9 

22 
4.3.1 Rayleigh quotient 
11.10 

23 
5 Cartesian coords, Exer.
11.11, 5.2 wave eq > D'Alembert 
review
for midterm 

26 
Midterm
exam
in
class 
Solutions 

27 
5.3 Laplace eq 
12.13
... 
HW3 due: 17.1, 17.7, 18.2, 18.8, 18.18 Solutions 
28 
5.4 Maximum principle, 5.5
2D wave eq 
12.13
continued 

29 
(5.6 orthogonal
eigenfunction in 2D, can be skipped if needed) 
12.4 

30 
6 Cylindrical coords 
12.14
... 

Aug 02 
Heritage day,
University closed 

03 
6.2 Bessel functions
(briefly), 6.3 Heat equation in 2D 
12.14
conditnued 
HW4 due: 17.4, 17.6, 17.10, 18.11, 18.17 Solutions 
04 
Exer 12.18 pieshaped
domain, 8 Infinite domains 
16.11 

05 
8.2 Fourier transform,
Exer 16.5, 16.13, 16.14 
16.3 

06 
Examples 
16.4 

09 
8.3.1 Error function, Sine
cosine transforms, Exer 16.8, 16.9, 16.16 
16.12 

10 
(Exer 16.17 if time
allows), Review 
Review 
HW5 due: 17.11, 18.1, 18.10, 18.13, 18.15 Solutions 
11 
Class cancelled 

12 

13 
Final Exam,
8:0010:00
AM,
CAB
273 
Policy
about course outlines can be found in section 23.4(2) of the University
Calendar.
The
University of Alberta is committed to the highest standards of academic
integrity and honesty. Students
are expected to be familiar with these standards regarding academic
honesty and
to uphold the policies of the University in this respect.
Students are particularly urged to
familiarize themselves with the provisions of the Code of Student
Behaviour
(online at http://www.ualberta.ca/secretariat/appeals.htm) and avoid
any
behaviour which could potentially result in suspicions of cheating,
plagiarism,
misrepresentation of facts and/or participation in an offence. Academic dishonesty is a serious
offence and can result in suspension or expulsion from the University.