A Sumerian tablet MS 2192
A Sumerian tablet MS 2192: Triangles with area between them divided into 3 equally shaped trapezoids



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Matematisa institutionen, UU

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Schemasökning, UU




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Lecture notes and materials

horizontal rule




  1. 2008-09-01:  Introduction. Derivation of the heat equation.

  2. 2008-09-02:  Characteristics. Quasilinear equations. Burgers' equation.

  3. 2008-09-03:  Non-linear 1st order equations. Envelopes. Examples.

  4. 2008-09-04:  Problem session, I

  5. 2008-09-05:  Higher order PDE. Canonical form. Examples.

  6. 2008-09-08:  The wave equation, I.

  7. 2008-09-09:  The wave equation, II: reflection method and non-homeogeneous case.

  8. 2008-09-10:  The wave equation, III: Spherical means and higher dimensional representations.

  9. 2008-09-17:  canceled

  10. 2008-09-18:  The Laplace and Poisson equations, I.

  11. 2008-09-19:  The Laplace and Poisson equations, II.

  12. 2008-09-22:  Green's function

  13. 2008-09-23:  Problem session, II

  14. 2008-09-24:  Functional spaces

  15. 2008-09-25:  Sobolev spaces I: Distributions and weak derivatives

  16. 2008-09-30:  Sobolev spaces II: Weak problems. Poincare inequality.

  17. 2008-10-07:  Sobolev spaces III: Sobolev inequalities. Sobolev embedding theorems.

  18. 2008-10-07:  Problem session, III

  19. 2008-10-09:  Maximum principles

  20. Solutions to problem session III (part I)


    Beta (list of some formulas you can use at exam)