TMA4305 Partial Differential Equations Spring
2009

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. 4546);
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 SR270X)
 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 mth
order PDEs and the CauchyKowalevski theorem.
Old exams
with solutions.


