Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

TMA740B Analys i en variabel Kf Kb, del B, 1999, vecka 2

Mathematics

Goal: Properties of the integral. Taylor's theorem. The mean value theorem. The logarithm.

Theory: Read Ch 26, 27.

Exercises: Do the following exercises:
basic: 26.1, 26.2, 26.3, 26.4, 26.5, 26.6, 26.7, 26.11, 26.13, 26.14, 27.1, 27.2, 27.4, 27.5, 27.6, 27.7, 27.8, 27.9, 27.11, 27.12 and the following extra problems.
advanced: 26.15, 26.16, 26.17, 26.18

Programming

Goal: Write a matlab function that computes the logarithm.

Try matlab's editor. You may like it better than emacs. To open the file funk1.m you type "edit funk1" in the matlab command window.

Exercises:

Write a program that computes the natural logarithm log(x) of a positive number x using the construction in the fundamental theorem. The program should choose the steplength according to formula (28.3) in Chapter 28.

The program should be written according to the specification in the skeleton my_log.m.

Individual report

In the beginning of week 3 each student should report (in any suitable form, e.g., a short discussion) to her/his supervisor the following:
1. problem 26.13
2. my_log.m

/stig


Last modified: Fri Oct 22 17:39:46 MET DST 1999