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MAST 841

Partial Differential Equations (P.D.E.’s)

3 credits · Graduate

Winter 2026 · Partial Differential Equations

Topics

  • First-order PDEs and characteristics
  • Wave and diffusion equations
  • Laplace’s equation and harmonic functions
  • Distributions
  • Fundamental solutions and Green’s functions
  • Fourier series
  • Boundary-value problems

Readings

  • Rustum Choksi. Partial Differential Equations: A First Course. American Mathematical Society, 2022. AMSTEXT/54. ISBN 978-1-4704-6491-2; eBook ISBN 978-1-4704-6867-5.
    Required
  • Graduate level only: Lawrence C. Evans. Partial Differential Equations. Graduate Studies in Mathematics, volume 19. American Mathematical Society, 2010. ISBN 978-1-4704-6942-9; eBook ISBN 978-1-4704-1144-2.
    Required
Winter 2023 · MATH 473

Readings

  • A. Komech, A. Komech, Book of practical PDE’s.
    Listed reading; requirement unspecified
  • V. Ivrii, Partial Differential equations.
    Listed reading; requirement unspecified
  • Lawrence C. Evans. Partial Differential Equations, Graduate Studies in Mathematics, Vol. 19, AMS, 2010.
    Listed reading; requirement unspecified
Sources