Syllabus for
MATH 402
The content and timing of this
syllabus is subject to change.
|
Week
|
Dates
|
Reading
and
Class Events
|
Assignments
|
|
1.
|
Jan 7
|
Introductory problems
|
|
|
2.
|
Jan 10, 12, 14
|
The
Euler-Lagrange equation
|
Assignment
1
Solution
to Assignment 1
|
|
3.
|
Jan 17, 19, 21
|
Introductory problems
(several variables).
|
|
|
4.
|
Jan 24, 26, 28
|
Further
generalizations,
Higher order derivatives
|
|
|
5.
|
Jan
31, Feb 2, 4
|
Isoperimetric problems
|
Assignment
2
Solution
to Assignment 2 |
|
6.
|
Feb
7, 9, 11
|
Canonical
transformations,
Hamilton-Jacobi equation
|
|
|
7.
|
Feb
14, 16, 18
|
Spring Break
|
Assignment
3
Solution
to Assignment 3
|
|
8.
|
Feb
21, 23, 25
|
The
vibrating string,
Several
independent variables
|
|
|
9.
|
Feb 28, Mar 2, 4
|
The
vibrating membrane
|
Assignment
4
Solution
to Assignment 4
|
|
10.
|
Mar 7, 9, 11
|
The
vibrating membrane
|
|
|
11.
|
Mar
14, 16, 18 |
Broken
extremals,
Corner conditions
|
Assignment
5
Solution
to Assignment 5
|
|
12.
|
Mar
21, 23, 25 |
Broken
extremals,
Corner conditions
|
|
13.
|
Mar 28, 30, Apr 1
|
The second variation
|
|
14.
|
Apr 4, 6
|
The second variation
|
|
|
|
