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, not the proof), 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 Part I.
Exercises 3.1 and 3.2:
basic:
32.1, 32.3 (should be u'(0)=k^(1/2) r sin(alpha), the answer is correct),
32.4, 32.5, 32.6, 32.8, 32.10,
32.14, 32.15cd, 32.16a, 32.17, 32.20, 32.21, 32.22
advanced:
32.6, 32.7, 32.9, 32.15a
demo:
32.2, 32.6b, 32.8bd, 32.10b, 32.14b, 32.15b, 32.16b, 32.21a
Corrections to the answers for Ch 32.
Lecture 3.1: The trigonometric functions.
Studio 3.1: Sin and Cos
Lecture 3.2: The general initial value problem. Ch 40.1, 40.4 (the algorithm and theorem 40.1, not the proof), 40.6.
Studio 3.2: My ODE Solver Part I
/stig