UCD Math 7760 Fall 97 - Class notes

Aug 26 - Basics: 0.1, 0.2, 0.3 (energy estimate only)

Aug 28 - Piecewise linear FE in 1D: 0.4 formulation, 0.5

Sep 2 - Error estimates in 1D: Thm 0.4.5, 0.3 complete, 0.7, 0.8, (energy estimate only), skip 0.6

Sep 4 - review of Lebesgue integral

Sep 9, 11 - generalized derivatives (1.2)

Sep 16 - exercise 1.x.12

Sep 18 - more about delta function, prop. Sobolev spaces (1.3), mollification (1.x.18, continuity in the average)

Sep 23 - complete molification, 1.4 (Sobolev inequality)

Sep 25 - start ch.2, 1.5-1.7 will be finished later

Oct 1 - finish ch. 1

recommended exercises Ch. 1: 1.x.1-3, 5, 6, 8-10, 12-14, 17, 18, 20-23

Oct 7,9: 2.1-2.8

Oct 14 : 2.9, 5.6, 5.1, 5.3

Nov 11 : Ch. 4 up to 4.3.4

DEC 9: NO CLASS BECAUSE OF NSF PANEL IN WASHINGTON D.C.