Lecture

Rectangle and Trapezoid Formulas

Description

This lecture explains how to numerically approximate integrals using the rectangle and trapezoid formulas, showing that the error decreases quadratically as the step size decreases. The instructor demonstrates the construction of the formulas, their accuracy for polynomials of different degrees, and the error estimation for functions that are twice continuously differentiable.

In MOOCs (4)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_xv09jj8x

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

Geometry: Euclidean geometry

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