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University of Colorado Boulder

Numerical Analysis

University of Colorado Boulder via YouTube

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Overview

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This course demonstrates numerical methods for ordinary differential equations, numerical integration, root finding, and bracketing. Examples use POLYMATH, MATLAB, Excel, and Mathematica for calculations.

Syllabus

Runge-Kutta Method Introduction.
4th-Order Runge Kutta Method for ODEs.
Euler Method for ODEs.
Euler Method/Excel and MATLAB.
Numerical ODE Methods Accurate to 1st and 2nd Order.
POLYMATH Excel Add-in to Solve ODEs.
Simpson's Rule/Excel.
Solving Linear ODEs Analytically.
Solving ODEs/POLYMATH.
Bisection Introduction/Excel.
Bisection for Finding Roots.
Bisection Example/Excel.
Bisection Live Method/Excel.
Bracketing a Maximum in Optimization.
False Position Method.
Open Root Finding Methods.
Numerically Solve ODEs with Mathematica 1.
Numerically Solve ODEs with Mathematica 2.

Taught by

LearnChemE

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