Steve Brunton Courses

Dynamical Systems

Explore advanced techniques in dynamical systems analysis, including SINDy, Koopman theory, and deep learning applications for modeling complex nonlinear systems.

• YouTube
• 6 hours
• Self-Paced
• Free Video

Data-Driven Dynamical Systems with Machine Learning

Explore modern machine learning methods for modeling complex dynamical systems from data. Learn data-driven control techniques and apply them to various fields of science and engineering.

• YouTube
• 15 hours
• Self-Paced
• Free Video

Reinforcement Learning

Explora el Aprendizaje por Refuerzo, desde métodos básicos hasta redes neuronales y aplicaciones en dinámica de fluidos y control, en esta serie de 3.5 horas por Steve Brunton.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Sparsity and Compression

Explore sparsity and compression techniques, from compressed sensing to robust regression, with practical applications in image processing, signal analysis, and machine learning.

• YouTube
• 4 hours 30 minutes
• Self-Paced
• Free Video

Intro to Data Science

Comprehensive introduction to data science and machine learning, covering key concepts, techniques, and applications. Includes hands-on examples in MATLAB and Python for practical implementation.

• YouTube
• 22 hours
• Self-Paced
• Free Video

Complex Analysis - Examples of Complex Integrals

Explore practical applications of complex integration theorems through challenging examples, enhancing your understanding of advanced mathematical concepts.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Complex Analysis - Complex Residues

Explore the residue theorem and learn to compute complex contour integrals around singular points, culminating in the integral of f(z)=1/z.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Complex Analysis - Integrals in the Complex Plane

Explore contour integration in complex analysis, covering theorems, continuous deformation, and integration around singularities for a deeper understanding of complex functions.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Complex Analysis - Analytic Functions Solve Laplace's Equation

Explore how analytic complex functions' real and imaginary parts solve Laplace's equation, introducing harmonic functions in this in-depth mathematical analysis.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Complex Analysis - Analytic Functions and Cauchy-Riemann Conditions

Explore analytic complex functions and learn to test for analyticity using Cauchy-Riemann conditions in this comprehensive mathematical exploration.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Complex Analysis - Roots of Unity and Rational Powers of Z

Explore complex logarithms and exponentials to compute fractional powers of complex numbers, including nth roots of unity and special cases like the square root of i.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Complex Analysis - Functions of a Complex Variable, f(z)

Explore complex functions including monomials, exponentials, and trigonometric functions. Learn about Taylor series and important identities in complex analysis.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Numerical Integration of Chaotic Dynamics - Uncertainty Propagation & Vectorized Integration

Explore chaos and uncertainty propagation in dynamical systems through numerical integration. Learn efficient vectorization techniques in Python and MATLAB for faster computations.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Coding a Fourth-Order Runge-Kutta Integrator in Python and Matlab

Learn to implement a 4th-order Runge-Kutta integrator in Python and Matlab, and apply it to simulate the chaotic Lorenz 1963 system. Gain practical coding skills for numerical integration.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Runge-Kutta Integrator Overview - All Purpose Numerical Integration of Differential Equations

Comprehensive introduction to Runge-Kutta schemes for numerical integration of differential equations, covering RK2 and RK4 methods with intuitive explanations and visual representations.

• YouTube
• 30 minutes
• Self-Paced
• Free Video