Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

TMA740B Analys i en variabel Kf Kb, del B, 1999, vecka 4

Mathematics

Goal: Trigonometric functions. Integration techniques. Introduction to the project.

Theory: Read Chapter 30 "Trigonometric functions" and Chapter 31 "Integration techniques".

Exercises: Basic: 30.1, 30.2, 30.3, 30.4, 30.5, 30.6, 30.7, 30.8, 30.9, 30.10, 30.14, 30.15, 30.16, 30.17, 30.20. Advanced: 30.11-12-13. Problems for chapter 31

Preparation for the project: In the project you will study one application that you will select from, for example, Chapters 35, 36, or 37. As a preparation for choosing your application, read Sections 36.2-36.2 "mass-spring system" and "the pendulum". Read the rest of chapter 36 and chapter 37 quickly without going into the details.

Change of place: the lecture on Tuesday November 16, 13-15, will take place in Hörsalen Matematiskt Centrum. In the second half of the lecture Anders Logg will demonstrate his "Mechlab" software.

Programming

Goal: To write a matlab function that computes the exponential function.

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:

1. Write a matlab function that computes the exponential function.

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

2. Plot the exponential function on an interval. Compare with matlab's function exp.m.

Individual report

In the beginning of week 5 each student should report (in any suitable form, e.g., a short discussion in front of the computer) to her/his supervisor the following:
1. problem 30.7
2. the pendulum

/stig


Last modified: Tue Nov 16 08:40:47 MET 1999