Math 124A
Lectures
The lectures posted below are the type-ups of the notes that I use in preparation for the lectures. Please let me know if you find any typos/ommisions/mistakes.
- Lecture 1
- Sep. 22 -- Introduction
- Lecture 2 - Sep. 27 -- First order linear equations
- Lecture 3 - Sep. 29 -- Method of characteristics revisited
- Lecture 4 - Oct. 04 -- Vibrations and heat flow
- Lecture 5 - Oct. 06 -- Classification of second order PDEs
- Lecture 6 - Oct. 11 -- Wave equation: solution, causality
- Lecture 7 - Oct. 13 -- The energy method
- Lecture 8 - Oct. 18 -- Heat equation: properties
- Lecture 9 - Oct. 20 -- Heat equation: solution
- Lecture 10 - Oct. 26 -- Heat equation: interpretation of the solution
- Lecture 11 - Oct. 28 -- Comparison of wave and heat equations
- Lecture 12 - Nov. 01 -- Heat conduction on the half-line
- Lecture 13 - Nov. 03 -- Waves on the half-line
- Lecture 14 - Nov. 03 -- Waves on the the finite interval
- Lecture 15 - Nov. 08 -- Heat with a source
- Lecture 16 - Nov. 10 -- Waves with a source -- appendix
- Lecture 17 - Nov. 17 -- Separation of variables: Dirichlet conditions
- Lecture 18 - Nov. 22 -- Separation of variables: Neumann conditions