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;
mass-spring systesm; resonance
|
A#6 (PDF) |
Th 10/20
|
15
|
examples;
difference
equations; Euler equations
|
|
T 10/25
|
15
|
non-constant-coefficient
linear
ODEs; variation-of-parameters
|
A#6 due
A#6
solns
(PDF)
|
Th 10/27
|
15
|
Green's
functions
|
|
T 11/1
|
|
In-class
closed-book exam covering chapters 12, 13, 14 and
section 15.1,
and all essential
prerequisites.
You may bring notes consisting
of 1 sheet of letter-sized 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!
|
|
Take-home
final
exam covering entire semester:
Final
(PDF) |
FINAL
EXAM
DUE 5pm
|