computational_math

Introduction course to computational methematics. Code written in Matlab, pdf slides included.

Outline

Slides are label and briefly cover the material for the week. Matlab code is stored in the code folder. Follow the syllabus to get a more detailed view of the course outline. In general the course covers the following in order:

• Introduction to matlab.
• Using control squences in Matlab.
• Numerical differentiation, solving linear systems.
• Numerical integration, error classification.
• Runge-kutta methods.
• Local truncation error, global error, and norms.
• Modeling physical systems: the pendulum.
• Modeling physical systems: populations and epidemiology. Eigenvalues and eigenvectors.
• Approximating functions with series, truncation error.
• Periodic functions and fourier series, discrete fourier transform.
• FFT using real data.