Introduction to Partial Differential Equations (Block 1, 2010)

Pensum, the content of the course:

Things discussed in class or in the exercise sessions, unless explicitly stated otherwise.

In the book by Nakhle Asmar: Partial Differential Equations, with Fourier Series and Boundary Value Problems, 2nd edition, Pearson Prentice Hall 2004, this corresponds to most of:

Ch. 1. Sections 1.1-1.2

Ch. 2, Sections 2.1-2.6, 2.8-2.9

Ch. 3, Sections 3.1, 3.3 - 3.10. (excluding the numerical part of 3.6 and the last subsection of 3.9)

Ch. 4, Sections 4.1-4.4 (using some results on Bessel functions found in Sections 4.7-4.9). Bessel functions will not be used in the classroom test.

Ch. 5 is only been presented in a cursory way.

Ch. 7, Sections 7.1-7.7.

Additional material from supplementing notes by G. Grubb, Ch. 1 - 3. Concerning Ch. 3: Fourier transformation in higher dimensions (dimensions n>1) will not be used in the classroom test. A more detailed discussion of orthogonal expansions in Hilbert spaces and the eigenvalues of the Laplace equation is presented. It will not be tested.