Cheg 258 - Lecture Notes - Mar. 10, 2000

Announcements

The first hour exam has been graded, and the class performance was excellent. The mean was 31.54/40 with a standard deviation of 5.7. A stem and leaf plot of the class results is given below:

05  |  
10  |  
15  |  6 6 6 
20  |  2
25  |  6 7 7 5 8 6 8 9 6 9 7 7
30  |  4 2 4 0 3 3 0 4 3 3 1 3 4 3 3 3 0 0
35  |  8 6 6 7 7 5 8 5 5 6 7 8 7 8 6 5 8
40  |  0

Class notes

Scanned Notes

The main points of the lecture were

Systems of Non-Linear Equations

Goals:

After this class you should be able to:

Solve a system of non-linear equations using Newton's method.

Reading

The class notes and Chapter 7 of Kahaner and Hanna.

Question of the Day:

Name two examples of where you might want to solve systems of non-linear equations.
Why might the Jacobian of a system of equations be singular? What does it mean physically?

Matlab Example Codes

example 20

Homework Exercises (Due Mar. 24, 2000)

problem 20
solution

David.T.Leighton.1@nd.edu