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Date 
Topic/Notes 
Reading 
Homework 
1

Wed Sep 07 
Some famous pde, ode from
pde,
linearity,
series solutions (power, Fourier, special fns)

Lecture
Notes 
assignment 1 
2

Fri Sep 09 
Taylor thm, power series,
convergence, differentiating under the sum

A4 

3

Mon Sep 12 
Solution of ode by power
series 
A4,A5 

4

Wed Sep 14 
Solution of ode by power series

A6 
assignment 1 due
assignment 2 
5

Fri Sep 16 
Bessel Equation, series solution, Gamma fn

4.7 

6

Mon Sep 19 
Some identities.

4.7, 4.8


7

Wed Sep 21

Periodic funs: Fourier series versus
power series, piecewise smooth functions, orthogonality from y''=y

2.1 
assignment 2 due
assignment 3 
8

Fri Sep 23 
Euler formulas, series for sawtooth,
manipulations

2.2 

9

Mon Sep 26 
Other periods, even/odd
fns,

2.3 

10

Wed Sep 28 
Half range expansions,
extension by symmetry

2.4 
assignment 3 due
assignment 4 
11

Fri Sep 30

Mean square approximation

2.5 

12

Mon Oct 03 
Modeling, vibrating string 
3.1, 3.2


13

Wed Oct 05 
separation of variables

3.3 
assignment 4 due
Prepare
for midterm

14

Fri Oct 07 

3.3 


Mon Oct 10

Thanksgiving



15

Wed Oct 12



Midterm test
on assignments 14
assignment 5

16

Fri Oct 14 
D'Alembert solution,
characteristics 
3.4 

17

Mon Oct 17 
1d heat equation 
3.5 

18

Wed Oct 19 
Different boundary
conditions (omit 3.6 until Sturm
Liouville) 
3.5

assignment 5 due
assignment 6 
19

Fri Oct 21

2d wave, heat eqns
(Brydges is away from Oct
18  22) 
3.7


20

Mon Oct 24 
Laplace Eqn on
rectangular domain

3.8 

21

Wed Oct 26 


assignment 6 due
assignment 7 
22

Fri Oct 28 
Poisson
eqn, eigenfn expansion, remarks on linear algebra and orthogonality

3.9


23

Mon Oct 31

Orthogonality in Sturm Liouville
problems

6.2 

24

Wed Nov 02 
Different boundary
conditions

6.2, 3.6

assignment 7 due
assignment 8

25

Fri Nov 04 
Orthogonality of Bessel fns and
expansions in Bessel fns

4.8 

26

Mon Nov 07 
Laplacian in Polar and cylindrical
coordinates

4.1 

27

Wed Nov 09 


assignment 8 due
Prepare
for test


Fri Nov 11 
Remembrance
Day
(Fields meeting Nov 12)



28

Mon Nov 14 
Circular membrane, symmetric case

4.2 

29

Wed Nov 16 

4.2 
Midterm test
[On assignments 5,6,7,8]
assignment 9 
30

Fri Nov 18 
Circular membrane, general
case 
4.3 

31

Mon Nov 21 

4.3 

32

Wed Nov 23 
Laplace eqn in circular region

4.4 
assignment 9 due
assignment 10

33

Fri Nov 25 

4.4 

34

Mon Nov 28 
Cylindrical regions

4.5 

35

Wed Nov 30 

4.5 
assignment 10 will not be
collected

36

Fri Dec 02 
Last day of classes




TBA

Final , information 
practice final 
