1. ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 27 Numerical Integration & Differentiation

2. Motivation

5. AREA BETWEEN a AND b

6. Motivation

9. Calculate Derivative Given

10. Motivation Given Calculate

11. Think as Engineers!

12. In Summary INTERPOLATE

13. In Summary Newton-Cotes Formulas Replace a complicated function or tabulated data with an approximating function that is easy to integrate

14. In Summary Also by piecewise approximation

15. Closed/Open Forms CLOSEDOPEN