Introduction to Partial Differential Equations
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Feb. 24, 2020
noon - 2 p.m.
Lecture 1. - Preliminaries: well-posedness, linearity and superposition principle
March 2, 2020
noon - 2 p.m.
Lecture 2. - Quasilinear PDEs and the method of characteristics
March 9, 2020
noon - 2 p.m.
Lecture 3. - How to solve PDE a(x,y)u_x+b(x,y)u_y=0, and characteristic curves
March 16, 2020
noon - 2 p.m.
Lecture 4. - Method of characteristics: the main theorem, and what can go wrong
March 23, 2020
noon - 2 p.m.
Lecture 5. - Second order linear PDEs in two variables
March 30, 2020
noon - 2 p.m.
Lecture 6. - The wave equation in one spatial dimension
April 6, 2020
noon - 2 p.m.
Lecture 7. - D'Alambert formula for the wave equation
April 13, 2020
noon - 2 p.m.
Lecture 8. - The domain of dependence and the region of influence for 2D wave equation
April 20, 2020
noon - 2 p.m.
Lecture 9. - Separation of variables. The heat equation in one spatial dimension part 1.
April 27, 2020
noon - 2 p.m.
Lecture 10. - Separation of variables. The heat equation in one spatial dimension part 2.
May 4, 2020
noon - 2 p.m.
Lecture 11. - Separation of variables for the wave equation
May 11, 2020
noon - 2 p.m.
Lecture 12. - Separation of variables: the nonhomogeneous case
May 18, 2020
noon - 2 p.m.
Lecture 13. - Uniqueness of solutions to the wave equation and the heat equation
May 25, 2020
noon - 2 p.m.
Lecture 14. - Sturm-Liouville systems. Part 1.
June 1, 2020
noon - 2 p.m.
Lecture 15A. - Sturm-Liouville systems. Part 2.
June 8, 2020
noon - 2 p.m.
Lecture 15B. - Sturm-Liouville systems. Part 3.
June 15, 2020
noon - 2 p.m.
Lecture 16. - Sturm-Liouville systems. Part 4.
June 22, 2020
noon - 2 p.m.
Lecture 17. - Laplace equation. Part 1. Harmonic polynomials in 2 dimensions.
June 29, 2020
noon - 2 p.m.
Lecture 18. - Laplace and Poisson equations. Preliminaries.
July 6, 2020
noon - 2 p.m.
Lecture 19. - Laplace equation. Part 3. Separation of variables in circular domains.
Declaration of Accessibility
Software development:
Andrzej Sawicki
Polish National Agency for Academic Exchange
The Project is financed by the Polish National Agency for Academic Exchange under the Foreign Promotion Programme