Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet
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