1. ME 123 Computer Applications I Lecture 12: Numerical Integration 3/28/03

2. Recapitulation of Lecture 11
In the last lecture, we applied the for loop structure to two more examples
the partial sum calculator;
the prime number finder.
Your homework was about algorithm optimization on performance.
Homework feedback:
Only accumulating variable needs to be initialized.
Wisely make use of decreasing loop variable to avoid unnecessary variable.
Lecture 12
ME 123 Computer Applications I

3. ME 123 Computer Applications I
Road Map of Lecture 12
Solutions to HW 3-3
More application problems on using the for loop: numerical integration
concept of discretization
introduce trapezoidal method
examples:
area under an arbitrary curve;
solution to a simple differential equation
Results from class competition on prime number finder
Lecture 12
ME 123 Computer Applications I