Partial Differential Equations I

Syllabus:

Regular class: Thursdays 13:30 to 15:15.

Recitation: Tuesdays 11:00 to 12:45.

Lecture rooms: Tuesdays M143, Thursdays M129.

First week (37) class on Tuesday and Thursday!

Teaching assistents:

Kirsten Valkenburg, email: kivalken@few.vu.nl
Wojcik Wojchiech, email: wwojcik@hydra.cs.vu.nl

Book: Partial Differential Equations, an introduction, by P. DuChateau and D. Zachmann, Schaum's Outlines, ISBN 0-07-017897-6.

Exams:

Midterm 1: October 26, 2004, 13:30 - 15:30, room Q112
Midterm 2/Final exam: December 20, 2004, 9:30 - 11:30/12:30, room Q105

Material for the final exam is listed below! Of the sections listed below only consider those subjects covered in class. The exam material also includes some subjects not contained in the book. The solved problems that are part of the material and are given in the weekly list!

Midterm 1:
- Chapter I
- Chapter II: 2.1 - 2.3
- Chapter III: 3.1 - 3.3
- Chapter IV: 4.1 - 4.2, read 4.3 - 4.4
- Chapter VI: 6.1 determination of Fourier coefficients
Midterm 2:
- Chapter VI: 6.1 - 6.4
- Chapter VII: 7.1 - 7.3
- Chapter VIII: 8.1 - 8.4
Options:
- I: Midterm 1 + midterm 2 = final grade
- II: Final exam. In this case the material is everything covered under midterm 1 and midterm 2.

Material covered in the course:

Chapter I:

[7/9]: Read chapter I

Chapter II:

[9/9]: Sections 2.1, 2.2 (half way)
Solved problems: 2.2, 2.3, 2.4

[16/9]: Sections 2.2, 2.3
Solved problems: 2.11, 2.12

Chapter III:

[23/9]: Sections 3.1
Solved problems: 3.1 - 3.5, 3.9 - 3.11

[30/9]: Sections 3.2
Solved problems: 3.12 - 3.15, 3.19

Chapter IV:

[7/10]: Sections 4.1 - 4.4
Solved problems: 4.1, 4.2 (1), 4.3, 4.7 - 4.9

Chapter VI:

[14/10]: Sections 6.1
Solved problems: 6.1 - 6.4

[21/10]: Sections 6.2
Solved problems: 6.5

[4/11]: Sections 6.3
Solved problems: 6.5

[11/11]: Sections 6.3, 6.4
Solved problems: 6.6

Chapter VII:

[11/11]: Sections 7.1 - 7.3
Solved problems: 7.1 - 7.6

[18/11]: Sections 7.1 - 7.3
Solved problems: 7.7 - 7.18

Chapter VIII:

[25/11]: Sections 8.1
Solved problems: 8.2. 8.3, 8.4

[2/12]: Sections 8.2 - 8.3
Solved problems: 8.1 - 8.4

[9/12]: Sections 8.4
Solved problems: 8.10, 8.11, 8.14 - 8.16

Homework problems (supplementary problems):

Chapter II:

[14/9]: 2.19, 2.20, 2.21, 2.22
(given in class): Solve u_x + u_y + u =0

[21/9]: 2.24, 2.26, 2.27a,b, 2.28a,b,f,h,i,n, 2.33

Chapter III:

[28/9]: 3.22, 3.26, 3.27, 3.28, 3.30

[5/10]: 3.32, 3.33, 3.34, 3.36, 3.38, 3.41, 3.45, 3.46

Chapter IV:

[12/10]: 4.17, 4.18, 4.21, 4.22 - 4.24

Chapter VI:

[19/10]: 6.7 - 6.12

[2/11]: Go over the exam and remaining problems from 19/10.

[9/11]: 6.15 - 6.18, Additional problems 1, and 2.

[16/11]: 6.19 - 6.23
7.19, 7.22

Chapter VII:

[23/11]: 7.24, 7.26

[30/11]: 7.27, 7.28, 7.30, 7.34, 7.35, 7.38, 7.40

[7/12]: 8.21, 8.23, 8.27, 8.28, 8.30 - 8.34, 8.37

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