Partial Differential Equations (Poisson, Laplace, heat eq.) For Free

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Ruchika oberoi

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Mar 27, 2022
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[Download] Partial Differential Equations (Poisson, Laplace, heat eq.) For Free

WFLLpy5

What you’ll learn

  • How to use the Fourier Trasforms to tackle the problem of solving PDE’s
  • Fourier Transforms in one and multiple dimensions
  • Method of separation of variables to solve the Heat equation (with exercises)
  • Method of separation of variables to solve the Laplace equation in cartesian and polar coordinates (with exercises)
  • How to apply the Fourier Transform to solve 2nd order ODE’s as well
  • concept of streamlines
  • Mathematical tricks
  • How to derive Heisenberg Uncertainty Principle using concepts of Probability Theory

Requirements

  • Calculus (especially: derivatives, integrals)
  • Multivariable Calculus (especially: the Jacobian, the Laplacian, etc.)
  • Complex Calculus (basics of Fourier series and residues could help)
  • Some notions of probability theory (distributions, mean, variance)
  • Complex numbers

Who this course is for:

  • Students who are interested in Physics and in mathematical derivations of concepts


RAR password: [email protected]