Steve Brunton Courses

PyDMD - A Python Package for Dynamic Mode Decomposition

Discover Dynamic Mode Decomposition with PyDMD package for data-driven modeling, system diagnostics, reconstructions, and predictions using Python on snapshot data.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Maximum Likelihood Estimation Example - Fitting a Normal Distribution with Data

Master maximum likelihood estimation by fitting normal distributions to data through joint PDFs, log-likelihood calculations, and parameter optimization for mu and sigma.

• YouTube
• 16 minutes
• On-Demand
• Free Video

Probability Bootcamp

Master probability fundamentals from counting to advanced distributions, including CLT, Bayes' theorem, and random variables for data science applications.

• YouTube
• 10 hours 37 minutes
• On-Demand
• Free Video

Physics Informed Machine Learning - Embedding Physics in AI and Discovering New Physics with ML

Discover how to enhance machine learning by embedding physics principles, creating interpretable models that incorporate symmetries, conservation laws, and sparse dynamics.

• YouTube
• 9 hours 56 minutes
• On-Demand
• Free Video

Engineering Math - Differential Equations and Dynamical Systems

Master differential equations and dynamical systems for real-world modeling in fluid dynamics, weather systems, biomechanics, and control theory with comprehensive mathematical foundations.

• YouTube
• 22 hours 3 minutes
• On-Demand
• Free Video

Engineering Math - Crash Course in Complex Analysis

Master complex analysis fundamentals from arithmetic to residues, exploring Euler's formula, analytic functions, and Cauchy integrals for differential equations modeling.

• YouTube
• 6 hours 28 minutes
• On-Demand
• Free Video

Engineering Math - Vector Calculus and Partial Differential Equations

Master vector calculus fundamentals and solve key partial differential equations governing physics, from divergence and curl to heat and wave equations.

• YouTube
• 9 hours 20 minutes
• On-Demand
• Free Video

Properties of Maximum Likelihood Estimation

Explore key properties of Maximum Likelihood Estimation including consistency, normality, asymptotic efficiency, and the Cramer-Rao inequality in this statistical analysis.

• YouTube
• 14 minutes
• On-Demand
• Free Video

Consistency of Parameter Estimates in Statistics

Explore the concept of consistent parameter estimates in statistics and how they converge to true values as data increases, including method of moments analysis.

• YouTube
• 10 minutes
• On-Demand
• Free Video

Hypothesis Testing Revisited - Normal, t, and Chi-Squared Distribution Tests

Master hypothesis testing with normal, t, and chi-squared distributions through comprehensive statistical test reviews and practical applications.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Student's t-Distribution in Statistics

Discover the Student's t-distribution for hypothesis testing with small samples, exploring its convergence to normal distribution and practical statistical applications.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Bayesian Maximum A Posteriori Estimation - Extending Maximum Likelihood Estimation

Discover Bayesian Maximum A Posteriori Estimation, extending MLE with prior information for robust parameter estimation when data is sparse or expensive.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Properties of Chi-Squared and Student's t Distributions

Discover key properties of Chi-Squared and Student's t distributions, including their construction, degrees of freedom, and relationships to sample variance and normal distributions.

• YouTube
• 10 minutes
• On-Demand
• Free Video

The Chi-Squared Test - Are Two Distributions the Same? with Python Example

Master the Chi-squared test to determine if two datasets come from the same distribution, with hands-on Python implementation and real-world alpha emissions case study.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Lies, Damn Lies, and Statistics - P-Hacking

Uncover the dangers of p-hacking and statistical manipulation in hypothesis testing through examples and code demonstrations of how data can mislead.

• YouTube
• 19 minutes
• On-Demand
• Free Video