TMA4305 Partial Differential Equations – Spring 2009
TMA4305 Partial Differential Equations

Spring 2009

 Messages: Exam 28.05.2009: problems and solutions.

Lecturer: Espen R. Jakobsen
Office:  1148, SB 2.
Email:     erj [at] math.ntnu.no.
Lectures: Monday       8:15 - 10:00   S1.
Thursday   10:15 - 12:00   F6.
Tentative calendar
Exercise sessions: Thursday   12:15 - 13:00   room 922, SB2.
Exercises:
• Problems and selected solutions
• About the course: A Partial Differential Equation is an equation involving a function of several variables and its partial derivatives. Many natural laws come in the form of partial differential equations. These equations are important in natural sciences, engineering diciplines, finance, and pure mathematics. The course aims at giving the student a good understanding of the basic methods and fundamental theories of this interesting field of mathematical analysis.
Textbook: Robert C. McOwen: Partial Differential Equations: Methods and Applications, Second Edition. Prentice Hall, 2003.
Final syllabus:
 Chp. 1 1.1a,b,c,d; 1.2 Chp. 2 2.1a,b (minus Example 2, pp. 45-46); 2.2a,b,c; 2.3a,c,d Chp. 3 3.1a,d; 3.2; 3.3; 3.4 Chp. 4 4.1b,c,d; 4.2a,b,c,d,e,f; 4.3a,b,c; 4.4a,b Chp. 5 5.1a,b; 5.2:a,b,d (in 5.2.d we skip Theorem 2); 5.3:a,b Chp. 6 6.1 a, b, c, d (in 6.1.d we skip Theorem 2 and Corollary); 6.2 a, c, d; 6.3 a (skip Example 2, Theorem 1), b (skip weak star convergence), c (only Corollary); 6.5 b (only Corollary A, B), c (only Corollary A), d (only Lemma 1, Corollary) Chp. 7 7.1 a, b, c, d Chp. 8 8.3 a Solutions to all exercises.
Tiltaksuker: No tiltaksuker this semester.
Exam: 28.05.2009 (4 hours), written, counts 100% in grade.

Aids:

• Simple Calculator (HP 30S or Citizen SR-270X)
• Rottmann: Matematisk formelsamling.
• One sheet of A4 paper stamped by the math. deptartment, on which you yourself can handwrite what you want. The sheet can be found at the department office on the 7th floor of SB2.

There will be no midterm exam!

Other:
• A note on the Cauchy problem for m-th order PDEs and the Cauchy-Kowalevski theorem.
• Old exams with solutions.