SIO 203C: Lectures on Partial Differential Equations

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Course Contents

1. Elementary methods applied to the heat equation

2. First-order linear equations

3. First-order equations as a limiting case of second-order equations

4. Burger's equation

5. Classification of second-order equations

6. The wave equation

7. Elliptic equations and variational principles

8. The analogy between matrices and operators

9. Classification of higher-order quasi-linear equations as systems of first-order equations

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