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Learn about chaotic dynamical systems, their presence in natural and engineering systems, and how to numerically integrate them with Steve Brunton. Less than 1-hour workload.
Explore the stability of Forward and Backward Euler integration schemes with Steve Brunton. Learn about eigenvalues and their relation to algorithm stability in under an hour.
Learn to solve Partial Differential Equations (PDEs) using Laplace Transforms with Steve Brunton in under an hour. Focuses on the heat equation on a semi-infinite domain.
Learn to approximate definite integrals using numerical methods like Riemann and trapezoidal integration with Python and Matlab, in under an hour with Steve Brunton.
Learn to compute second derivatives and differentiate data vectors with Python and Matlab in less than an hour with Steve Brunton.
Learn numerical differentiation and finite difference derivatives in under an hour with Steve Brunton. Explore error analysis with Taylor series and practical coding examples in Matlab and Python.
Learn to solve matrix systems of linear differential equations with Steve Brunton. Understand the Dirac delta function and convolution integral solution in under an hour.
Learn to diagonalize linear differential equations and explore the Jordan Canonical Form in less than an hour with Steve Brunton.
Explore non-normal linear systems and their role in turbulence with Steve Brunton. Learn through examples, Python and Matlab code, in under an hour.
Learn to draw phase portraits and analyze nonlinear systems with Steve Brunton in less than an hour. Understand fixed points, stability, and global nonlinear dynamics.
Explore 2D linear systems of ordinary differential equations with Steve Brunton. Learn about imaginary eigenvalues, neutrally stable center fixed points, and more in under an hour.
Explore 2D linear systems of ordinary differential equations and their applications in energy-efficient transport with Steve Brunton. Less than 1-hour workload.
Explore 2D linear systems of ordinary differential equations with Steve Brunton. Learn about unstable sources, stable sinks, and their solutions using eigenvalues, eigenvectors, and phase portraits.
Explore the key concepts of linear algebra with Steve Brunton's short, focused study on eigenvalues and eigenvectors, and their application in solving complex differential equations.
Learn to solve second-order Ordinary Differential Equations with Steve Brunton. Understand characteristic polynomials, initial conditions, and eigenvalues in under an hour.
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