Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet
Goal: Understand the construction and the basic properties
of the trigonometric functions sin, cos, and friends.
Write a Matlab program for solving the general initial value
problem for a system of ordinary differential equations.
Reading:
basic: Ch 32, 33.2
basic: Ch 40.1, 40.4 (the algorithm and theorem 40.1), 40.6.
(We will return to 40.7 in week 5. )
advanced: Ch 40.2, 40.3, 40.4 the proof, 40.5.
Obligatory work for your folder: My ode solver 1.
Exercises 1 and 2:
basic:
32.1, 32.3, 32.4, 32.5, 32.6, 32.8, 32.10,
32.14, 32.15a, 32.16a, 32.17, 32.20, 32.21, 32.22
advanced: 32.6, 32.7, 32.9, 32.22
demo: 32.2, 32.6b, 32.8bd, 32.10b, 32.14b, 32.15b, 32.16b, 32.21a
Lecture 3.1: The trigonometric functions.
Studio 3.1: Sin, cos.
Lecture 3.2: The general initial value problem.
Studio 3.2: My ode solver 1.
/stig