Introduction to Partial Differential Equations

• Fridays 13:30 to 15:15 (weeks 36 - 42)
• Mondays 9:00 to 10:45 (weeks 45 - 50)

• Michelangelo Vargas Rivera, email: mvargas@few.vu.nl
• Vincent Guyonne, email: vincent@few.vu.nl

• Tuesdays: t.b.a.
• Fridays: t.b.a.

• Applied Partial Differential Equations, with Fourier Series and Boundary Value Problems, by R. Haberman, ISBN 0-13-065243-1.
• Fourier Series, by G.P. Tolstov, Dover, ISBN 0-486-63317-9.

• Overview Fourier Theory (pdf), Fourier Theory (quicktime).
• Maple sheets: class maple.

• Assignment I: due Wednesday October 18, pdf-file.
• Assignment II: due Wednesday November 22, pdf-file.
• Assignment III: due Wednesday December 13, pdf-file.
• Grades of all the assignments; grades.

• Midterm 1: Tuesday October 24, 15:15-17:15, Q105/Q112
  • Material covered: Chapter 1 - 4. Below is a detailed description of the sections treated in class.
• Midterm 2/Final exam: Thursday December 21, 8:45-11:30, M143/D107

Material covered in the course:

• [6/9]: Sections 1.1 - 1.4
• [6/9]: Read Sections 1.2 and 1.5

• [6/9]: Sections 2.1 - 2.2

• [13/9]: Sections 2.3 - 2.4
• [13/9]: Read Sections 2.3 and 2.4.1

• [20/9]: Sections 2.5
• [20/9]: Read Sections 2.5.2 and 2.5.4

• [27/9]: Sections 3.1 - 3.2
• [27/9]: Read Section 3.3

• [4/10]: Section 3.4
• [4/10]: Read eigenfunctions expansion!

• [11/10]: Sections 3.5 - 3.6
• [11/10]: Read eigenfunctions expansion!

• [11/10]: Read Sections 4.1 - 4.3
• [11/10]: Section 4.4

• [20/10]: Read Sections 5.1, 5.2. 5.4, 5.5 + appendix
• [20/10]: Sections 5.1 - 5.5

• [1/11]: Sections 7.1 - 7.4
• [8/11]: Section 7.5

• [8/11]: Sections 8.1 - 8.3

• [15/11]: Sections 8.4 - 8.6
• [15/11]: Read 8.5

• [22/11]: Section 8.6

• [22/11]: Sections 9.1 - 9.2
• [22/11]: Read 9.3.2

• [29/11]: Sections 9.3, 9.5
• [29/11]: Read 9.3 appendix

• [6/12]: Sections 9.5.4, 9.5.9
• [6/12]: Skip 9.4, 9.5.3, 9.6

Homework problems:

• [8/9]: 1.2.2, 1.3.1, 1.4.1 (d), (e), (f), (g), 1.4.7

• [8/9]: 2.2.1, 2.2.2, 2.2.3, 2.2.4, 2.2.5

• [15/9]: 2.3.1, 2.3.2, 2.3.3, 2.3.6, 2.3.7, 2.3.8
• [15/9]: 2.4.1, 2.4.2, 2.4.6

• [22/9]: 2.5.1 (a), (c), 2.5.2, 2.5.3, 2.5.5 (a), 2.5.8 (a), 2.5.13, 2.5.14, 2.5.15 (b)

• [29/9]: 3.2.1 (a), (b), (c), 3.2.2 (a), (b), (f), 3.2.3, 3.2.4
• [29/9]: 3.3.1, 3.3.4, 3.3.7, 3.3.15, 3.3.17, 3.3.18

• [6/10]: 3.4.5, 3.4.8, 3.4.9, 3.4.11, 3.4.12

• [13/10]: 3.5.1, 3.5.4, 3.5.7
• [13/10]: 3.6.1, 3.6.2

• [13/10]: 4.4.3, 4.4.4, 4.4.5, 4.4.6, 4.4.7, 4.4.9, 4.4.11

• [6/11]: 5.3.3, 5.3.5, 5.3.6, 5.3.7, 5.3.9
• [6/11]: 5.4.3
• [6/11]: 5.5.1, 5.5.4, 5.5.8, 5.5.9, 5.5.11, 5.5.12, 5.5.13, 5.5.14

• [13/11]: 7.3.1 (a), (c), 7.3.2 (b), 7.3.4 (b), 7.3.6, 7.3.7 (c)
• [13/11]: 7.4.1, 7.4.3
• [13/11]: 7.5.1, 7.5.2

• [20/11]: 8.2.1 (d), (f), 8.2.2 (c), 8.2.4
• [20/11]: 8.3.1 (c), 8.3.3, 8.3.4, 8.3.6
• [20//11]: 8.4.1 (b), 8.4.3

• [27/11]: 8.5.2
• [27/11]: 8.6.1, 8.6.2, 8.6.6, 8.6.7

• [27/11]: 9.2.2, 9.2.3 (Green's function)
• [27/11]: 9.3.3, 9.3.5, 9.3.6, 9.3.7, 9.3.11

• [4/12]: 9.3.14, 9.3.15, 9.3.20, 9.3.21, 9.3.23, 9.3.24
• [4/12]: 9.5.3, 9.5.4, 9.5.5, 9.5.9, 9.5.14, 9.5.14