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PARTIAL DIFFERENTIAL EQUATIONS

Outline:

  1. First order equations
  2. Classification of second order equations and hyperbolic equations
  3. Fourier series method
  4. Laplace equations
  5. Parabolic equations

Objective:

This is supposed to be a first course on partial differential equations. We shall cover the basic linear theory. Students should have good background in advanced calculus.

Textbook:

  1. F. John, Partial Differential Equations, 4th Ed.
  2. M.A. Pinsky, Partial Differential Equations and Boundary-Value Problems with Applications
  3. E.C. Zachmanoglou and D.W. Thoe, Introduction to Partial Differential Equations with Applications
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