This course covers topics in numerical analysis such as differential equations, numerical integration, root finding methods, and bracketing. The course utilizes software like POLYMATH, MATLAB, and Excel for calculations. Students will learn about the Runge-Kutta method, Euler method, Simpson's Rule, linear ODE solutions, bisection methods, and more. The teaching method includes screencasts demonstrating the use of software tools for numerical analysis. This course is intended for learners interested in engineering, mathematics, or computational sciences.
Overview
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
