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.

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
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