TMA4305 Partial Differential Equations Spring
2008
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Lecturer: |
Espen
R. Jakobsen
Office: 1148, SB 2.
Email:
erj [at] math.ntnu.no.
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Lectures: |
Thursday 12:15
- 14:00 F3.
Friday 10:15 -
12:00 F6.
Tentative calendar
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Problem sessions: |
Tuesday 16:15
- 17:00 F4.
Previous problems and
selected solutions
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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.
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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)
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Chp. 7 | 7.1 a, b, c, d |
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Solutions to all exercise sets. |
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Tiltaksuker: |
Problems for tiltaksuker: Problems,
solutions
There will be no midterm exam! |
Exam: |
27.05.2008 (4 hours), written, counts 100% grade.
Aids:
Calculator HP 30S
Rottmann: Matematisk formelsamling.
One sheet of A4 paper stamped by the math. deptartment, on which
you can write what you want (must be handwritten by
you). You can get this from the department office on the 7th
floor of SB2.
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Other: |
Two old exams
with solutions.
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