Cheg 258 - Lecture Notes - Mar. 22, 1999

Announcements

• The problem assigned today is due in a week from this Wednesday. This is probably the nastiest of the homework problems, so be sure to come to the review session this evening for hints on how to solve it!

Class notes

The main points of the lecture were

• Numerical Quadrature

Goals:

• Integrate a function using Simpson's Rule and the Trapezoidal Rule.
• Determine the error of integration for these quadrature rules.

Reading

• The class notes and Chapter 5 of Kahaner and Chapter 9 of Hanna.

Questions of the Day:

• Often we want to use the Trapezoidal rule to integrate laboratory data. How does the error in our measurements affect the error in the integral?
• If our error is dominated by error in function evaluation (e.g., integrating noisy data) rather than function curvature, will Simpson's rule or the Trapezoidal rule be more accurate?

Matlab Example Codes

example 24