Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-B, 2001, week 4

Home, w 1, w 2, w 3, w 4, w 5, w 6, w 7. Matlab: analysis, linear algebra, facit.

Goal: Repeat what we have done so far.
Learn how to solve the general initial value problem for a system of ordinary differential equations.
Choose an application for your obligatory project.

Reading:
basic: Ch 40.1, 40.4 (the algorithm and theorem 40.1), 40.6. (We will return to 40.7 in week 5. )
basic: Ch 35.1, 2.
advanced: Ch 40.2, 40.3, 40.4 the proof, 40.5.
Chapters 38, 39, 40, and 54 will be handed out in the lecture on Monday week 4 and can then be picked up in the entrance of Aseco.
Exercises:
basic: 35.1, 35.2a, 35.4a,b,c, 35.5, 35.6
advanced: --

Lecture 4.1: Trigonometric functions (continued) Ch 32.

Studio 4.1: Repetition and catch-up.

Lecture 4.2: The general initial value problem Ch 40. Solving differential equations using the exponential Ch 35.
Ordinary differential equations - summary (postscript).

Studio 4.2: Obligatory work: My ode solver 1.

Lecture 4.3: First hour: Applications from chemistry. Reaction kinetics (postscript).
Guest lecturers: Martin Lindgren, SIK, and Derek Creaser, Chemical reaction engineering.
Second hour: Anders Logg presents applications from mechanics and the program "mechlab".

Studio 4.3: We need more time to finish our work on integrals and differential equations: Repetition and catch-up.
(This exercise will be moved to week 5: The tankreactor 1.)

/stig


Last modified: Sun Nov 10 09:39:16 MET 2002