Steve Brunton Courses

Singular Value Decomposition

2 ratings

Comprehensive exploration of Singular Value Decomposition, covering mathematical foundations, applications in data processing, and implementation in MATLAB and Python for various real-world scenarios.

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

Taylor Series and Power Series Made Easy - Review of Calculus

2 ratings

Comprehensive review of Taylor and Power Series with visual aids and coding examples in Python and Matlab. Covers definitions, expansions for sine and cosine, and practical implementations.

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

Fluid Dynamics

1 rating

Explore machine learning applications in fluid dynamics, from turbulence modeling to control strategies, with a focus on data-driven approaches and advanced computational techniques.

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

Data-Driven Science and Engineering

1 rating

Explora técnicas avanzadas de aprendizaje automático, sistemas dinámicos y control con ejemplos prácticos en Matlab y Python, basados en el libro "Data-Driven Science and Engineering" de Brunton y Kutz.

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

Data-Driven Control with Machine Learning

1 rating

Explore machine learning techniques for data-driven control, covering system identification, model reduction, and advanced control strategies like MPC and reinforcement learning.

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

Control Bootcamp - Kalman Filter Example in Matlab

1 rating

Explore Kalman Filter implementation on inverted pendulum using Matlab, covering theory and practical application in dynamical systems and control engineering.

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

Quality Control and Non-Destructive Inspection Using the Multinomial Distribution

1 rating

Explore quality control principles through multinomial distribution, learning to assess batch reliability using non-destructive inspection methods and statistical sampling techniques.

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

Physics Informed Neural Networks (PINNs) - Introduction and Applications

1 rating

Introduction to Physics Informed Neural Networks (PINNs): combining neural networks with physical laws to solve complex problems in fluid dynamics and beyond. Explores advantages, applications, and extensions of this innovative approach.

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

Linear Systems - Control Bootcamp

1 rating

Analyze ordinary differential equations using eigenvalues and eigenvectors, laying the foundation for linear control theory in this comprehensive mathematical exploration.

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

Conjugate Priors Example - Normal Distribution and the Exponential Family of Distributions

1 rating

Explore conjugate priors through Normal distributions and the Exponential Family, demonstrating how Normal likelihoods pair with Normal priors for Bayesian inference.

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

Physics Informed Machine Learning: High-Level Overview of AI and ML in Science and Engineering

1 rating

Explore how to integrate physics into machine learning, enhancing model accuracy and efficiency in engineering applications. Learn to leverage prior physical knowledge across all stages of the ML process.

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

Control Theory and COVID-19

Explore exponential growth, its applications, and control theory in relation to COVID-19, covering models, sensors, and control design strategies.

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

Fourier Analysis

Comprehensive exploration of Fourier analysis, covering series, transforms, and applications. Includes practical implementations in MATLAB and Python for signal processing, PDEs, and image compression.

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

Linear Algebra

Comprehensive exploration of linear algebra concepts, including SVD, Fourier analysis, and compressed sensing, with practical applications and coding examples in MATLAB and Python.

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

Koopman Analysis

Explore advanced techniques in dynamical systems analysis, including Koopman theory, spectral analysis, and applications to control and chaos in various scientific domains.

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