Numerical Methods & Analysis

Catalog description

This course presents applied numerical methods and analysis for mechanical engineering students with a focus on implementing solutions using C, Mat lab or Python programming. This course focuses on implementation of basic numerical methods to solve systems of equations, ordinary differential equations, and partial differential equations. Mechanical engineering problems will be used to frame the implementation of the numerical techniques to demonstrate optimization of engineering design and analysis of experimental data. Presentation of numerical results will be discussed including graphing philosophy, numerical errors, a comparison with analytical solutions. Topics include numerical error and accuracy, finite difference methods, integration, regression, initial value problems, discrete Fourier transforms, root finding, and optimization.