Steve Brunton Courses

Koopman Analysis

Syllabus: Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control. Koopman Observable Subspaces & Nonlinearization. Koopman Operator Optimal Control. Compressed Sensing and Dynamic Mode Decomposition. Hankel Alterna…

• YouTube
• 3-4 hours worth of material
• Self paced
• Free Online Course

Dynamical Systems

Syllabus: Sparse Identification of Nonlinear Dynamics (SINDy). Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control. Koopman Observable Subspaces & Nonlinearization. Koopman Operator Optimal Control. Compressed S…

• YouTube
• 6 hours worth of material
• Self paced
• Free Online Course

Linear Algebra

Syllabus: A Compressed Overview of Sparsity. 2016 AIAA AVIATION Forum: Flow Control - Steve Brunton. Singular Value Decomposition (SVD): Overview. Singular Value Decomposition (SVD): Mathematical Overview. Singular Value Decomposition (SVD): Matrix Appro…

• YouTube
• 19 hours worth of material
• Self paced
• Free Online Course

Data-Driven Control with Machine Learning

Syllabus: Data-Driven Control: Overview.Data-Driven Control: Linear System Identification.Data-Driven Control: The Goal of Balanced Model Reduction.Data-Driven Control: Change of Variables in Control Systems.Data-Driven Control: Change of Variables in Co…

• YouTube
• 11 hours worth of material
• Self paced
• Free Online Course

Data-Driven Dynamical Systems with Machine Learning

Syllabus: Data-Driven Dynamical Systems Overview. The Anatomy of a Dynamical System. Simulating the Lorenz System in Matlab. Discrete-Time Dynamical Systems. Simulating the Logistic Map in Matlab. Dynamic Mode Decomposition (Overview). Dynamic Mode Decom…

• YouTube
• 15 hours worth of material
• Self paced
• Free Online Course

Intro to Data Science

Syllabus: Intro to Data Science: Overview.Intro to Data Science: Historical Context.Intro to Data Science: What is Data Science?.Intro to Data Science: Answering Questions with Data.Intro to Data Science: The Nature of Data.Machine Learning Overview.Mach…

• YouTube
• 22 hours worth of material
• Self paced
• Free Online Course

Singular Value Decomposition

Syllabus: Singular Value Decomposition (SVD): Overview.Singular Value Decomposition (SVD): Mathematical Overview.Singular Value Decomposition (SVD): Matrix Approximation.Singular Value Decomposition (SVD): Dominant Correlations.SVD: Image Compression [Ma…

• YouTube
• 7 hours worth of material
• Self paced
• Free Online Course

Data-Driven Science and Engineering

Syllabus: Singular Value Decomposition (SVD): Overview.Singular Value Decomposition (SVD): Mathematical Overview.Singular Value Decomposition (SVD): Matrix Approximation.Singular Value Decomposition (SVD): Dominant Correlations.SVD: Image Compression [Ma…

• YouTube
• 20 hours worth of material
• Self paced
• Free Online Course

Fourier Analysis

Syllabus: Fourier Analysis: Overview. Fourier Series: Part 1. Fourier Series: Part 2. Inner Products in Hilbert Space. Complex Fourier Series. Fourier Series [Matlab]. Fourier Series [Python]. Fourier Series and Gibbs Phenomena [Matlab]. Fourier Series a…

• YouTube
• 8 hours worth of material
• Self paced
• Free Online Course

Sparsity and Compression

Syllabus: Why images are compressible: The Vastness of Image Space.What is Sparsity?.Compressed Sensing: Overview.Compressed Sensing: Mathematical Formulation.Underdetermined systems and compressed sensing [Python].Underdetermined systems and compressed…

• YouTube
• 4-5 hours worth of material
• Self paced
• Free Online Course

Control Theory and COVID-19

Syllabus: Exponential Growth: Overview. Examples of Exponential Growth. Exponential Growth and Euler. Exponential Growth is a Lie. Control Theory and COVID-19. Control Theory and COVID-19: Models. Control Theory and COVID-19: Summary. Control Theory and…

• YouTube
• 2-3 hours worth of material
• Self paced
• Free Online Course

Fluid Dynamics

Syllabus: Machine Learning for Fluid Mechanics.Machine Learning for Fluid Dynamics: Patterns.Machine Learning for Fluid Dynamics: Models and Control.What Is Turbulence? Turbulent Fluid Dynamics are Everywhere.Turbulence is Everywhere! Examples of Turbule…

• YouTube
• 6 hours worth of material
• Self paced
• Free Online Course

Reinforcement Learning

Syllabus: Reinforcement Learning: Machine Learning Meets Control Theory. Reinforcement Learning Series: Overview of Methods. Model Based Reinforcement Learning: Policy Iteration, Value Iteration, and Dynamic Programming. Q-Learning: Model Free Reinforcem…

• YouTube
• 3-4 hours worth of material
• Self paced
• Free Online Course