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

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Presentation transcript:

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

Motivation

AREA BETWEEN a AND b

Motivation

Calculate Derivative Given

Motivation Given Calculate

Think as Engineers!

In Summary INTERPOLATE

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

In Summary Also by piecewise approximation

Closed/Open Forms CLOSEDOPEN

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