Steve Brunton Courses

Singular Value Decomposition

2 reviews

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
• On-Demand
• Free Video

Fluid Dynamics

1 review

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
• On-Demand
• Free Video

Data-Driven Science and Engineering

1 review

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
• On-Demand
• Free Video

Control Bootcamp - Kalman Filter Example in Matlab

1 review

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

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

Taylor Series and Power Series Made Easy - Review of Calculus

1 review

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
• On-Demand
• Free Video

Probability and Statistics: An Introductory Overview

Explore probability and statistics fundamentals, from basic concepts to advanced topics, covering applications, history, and key principles in data science and machine learning.

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

Gentle Introduction to Probability: Counting Coin Flips and Dice

Explore fundamental probability concepts through coin flips and dice rolls, uncovering the nature of randomness and its practical applications in everyday scenarios.

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

Set Theory in Probability - Sample Spaces and Events

Explore fundamental set theory concepts and their application in probability, including sample spaces, events, and key operations like unions and intersections through clear examples.

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

Counting Probabilities with Combinatorics and the Factorial

Master combinatorics and factorial concepts in probability. Learn to count event occurrences, analyze sampling methods, and apply formulas for various probability scenarios, including coin flips and poker hands.

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

The Law of Total Probability - Understanding Conditional Probability Fundamentals

Master the Law of Total Probability through clear explanations and practical examples, understanding its fundamental role in probability theory and statistical analysis.

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

The Binomial Distribution and Multinomial Distribution - From Fundamentals to Applications

Master the fundamentals of binomial and multinomial distributions, exploring probability concepts through practical examples like coin flips while learning key mathematical formulas and proofs.

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

The Birthday Problem in Probability - Computing Probability Through Complements

Explore the fascinating Birthday Problem in probability theory, learning how to calculate shared birthday chances through complementary probability and factorial computations.

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

Quality Control and Non-Destructive Inspection Using the Multinomial Distribution

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

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

Conditional Probabilities in Data Analysis and Statistics

Master conditional probability concepts through clear examples and practical applications, exploring fundamental principles and calculations for statistical analysis.

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

Solving the Wave Equation with Separation of Variables and Guitar String Physics

Explore wave equation solutions using separation of variables, with applications to guitar string physics. Gain insights into optics, acoustics, and fundamental physics concepts.

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