Supplementary Lecture Notes/Worksheets



Lecture Notes/Worksheets for the classes of February 1 & 4 (updated version) (including the extra credit  due February 1, weighing half of a homework asignment, please read carefully the insructions in the beginning of this document) . Please print these notes and bring them to the Friday class.

Lecture notes of the make up class of February 28

Some examples for the class of March 6 (correction: in the formulation of example 4 the first component of L(X) should be -11x_1-4x_2, i.e. -4 istead of +4)

Lecture notes on PDEs:

1. End of class of April 8-class of April 10

2. Class of April  12

3. Class of April  15 p 1-6,  p 7-9 (last updated  04/22),

4. Class of April  17 p 1-8,, p 9-16  (including an additional example 2 on pages 14-16)

5. Class of April  19 p 1-7,, p 8-12  (including an additional example 1 on pages 1-2 and example 3 on pages 11-12)

6. Classes of April  22 and 24  p 1-9 (applications to the heat equations),, p 10-15 (applications to the Laplace equation)  (a correction of misprints in Remark 2 of page 3 and  in the last formula on page 14 was made on April 21).
p16

7 Class of April  26

8 Classes of April  29/30