Day

Chapter

Topic

Assigned or Due

Th
9/1

12
(read 1,2,3,4)

introduction and Fourier series

A#1 (PDF)

T
9/6

12
(read 7,8)

Fourier series (& review)

A#2 (PDF)

Th 9/8

12

symmetries 
A#1 due

T 9/13

12

examples 

Th
9/15

12

Parseval's theorem 
A#2
due
A#3 (PDF)

T 9/20

12, 13

applications; Fourier transforms
(&
review) 

Th 9/22

13

properties of F. transform


T
9/27

13

continued
The Fourier
transform of the Heaviside function (PDF)


Th
9/29

13

convolution,
applications of F. transform

A#3 due (updated
due
date!)
A#4 (PDF)

T 10/4

13 
Laplace transform


Th 10/6

14

Review of
first order ODE: separable, linear, exact

A#4 due
A#5 (PDF)

T 10/11

14,
15

review,
cont.


Th 10/13

15

Review
of
linear ODEs (of higher order)
ODE problems as
matrix problems (PDF)

A#5 due

T 10/18

15

nonhomogeneous
ODEs;
massspring systesm; resonance

A#6 (PDF) 
Th 10/20

15

examples;
difference
equations; Euler equations


T 10/25

15

nonconstantcoefficient
linear
ODEs; variationofparameters

A#6 due
A#6
solns
(PDF)

Th 10/27

15

Green's
functions


T 11/1


Inclass
closedbook exam covering chapters 12, 13, 14 and
section 15.1,
and all essential
prerequisites.
You may bring notes consisting
of 1 sheet of lettersized paper.

MIDTERM
EXAM
Midterm
solns (PDF)

Th 11/3

15

Green's
functions cont. 
A#7 (PDF) 
T 11/8

15

cont.


Th 11/10

16

series
solutions of linear ODEs; ordinary points

A#7 due
A#7
solns
(PDF)
A#8 (PDF)

T 11/15

16

cont


Th 11/17

16

singular
points and regular singular points
plotairy.m

A#8 due
A#8
solns
(PDF)
A#9:
16.2, 16.3, 16.6

T 11/22

16

cont.


Th 11/24


Thanksgiving;
no
class


T 11/29

16

Bessel
functions; Hankel transform
drum.m
I
OFFER ONE HOMEWORK ASSIGNMENT EXTRA CREDIT TO ANY STUDENT
WHO BUILDS A
"BESSEL FUNCTION GENERATOR" (or similar physical
device;
numerical simulations don't count nearly as much)

A#9 due
A#10 (PDF)

Th 12/1

8

linear
algebra: vector spaces, bases, matrices, the "fund theorem
of linear
algebra"


T 12/6

8

eigenvalues
and
vectors 
A#10 due
A#10
solns
(PDF)

Th 12/8

8

inner
products, Hermitian
and unitary matrices; the spectral theorem 

T 12/13


NO
CLASS; finals
week: review! 

Th 12/15


NO
CLASS; finals
week: review! 

Due 5pm
Fri 12/16!


Takehome
final
exam covering entire semester:
Final
(PDF) 
FINAL
EXAM
DUE 5pm
