UBC

MATH 402:

Calculus of Variations


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Syllabus, Assignments, and Exams


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







This page last modified Sun Jan 27 18:01 2008