Matematik och Datavetenskap,
Chalmers Tekniska Högskola och
Göteborgs Universitet

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ALA-B, 2004, week 3

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

David's tutorial 3.

**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`

Last modified: Tue Nov 18 13:05:11 MET 2003