Steve Brunton Courses

Linearizing Around a Fixed Point - Control Bootcamp

Explore linearization of nonlinear systems around fixed points, demonstrated with a simple pendulum example using both manual calculations and MATLAB implementation.

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

Hankel Alternative View of Koopman - HAVOK Analysis

Decompose chaos into linear systems with intermittent forcing using HAVOK analysis. Learn to build linear regression models on eigen-time-delay coordinates for complex dynamical systems.

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

Compressed Sensing and Dynamic Mode Decomposition

Explore leveraging compressed sensing for dynamic mode decomposition, enabling analysis of under-sampled data. Learn techniques to extract meaningful insights from limited information.

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

Solving PDEs in Matlab Using FFT

Learn to solve partial differential equations efficiently using Fast Fourier Transform in MATLAB, enhancing your engineering mathematics skills for advanced problem-solving.

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

Laplace Transform Solutions to PDEs

Explore Laplace transform techniques for solving partial differential equations, enhancing your understanding of advanced mathematical methods in engineering applications.

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

Convolution Integrals, Impulse and Step Responses

Explore convolution integrals, impulse response, and step response in engineering mathematics, enhancing understanding of system behavior and analysis techniques.

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

The Laplace Transform

Explore the Laplace Transform in engineering mathematics, covering its applications and fundamental principles. Gain insights into this powerful tool for solving differential equations and analyzing systems.

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

Numerical Solutions to PDEs Using FFT

Explore numerical solutions to partial differential equations using Fast Fourier Transform, with practical examples and MATLAB code for efficient implementation and analysis.

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

Discrete Fourier Transforms

Explore discrete Fourier transforms, their applications in engineering, and mathematical foundations. Learn key concepts and techniques for analyzing digital signals and data processing.

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

Numerical Solution to Laplace's Equation in Matlab - Intro to Fourier Series

Explore numerical solutions to Laplace's Equation using MATLAB and get introduced to Fourier Series in this engineering mathematics lecture, with practical code examples and comprehensive notes provided.

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

Heat Equation in 2D and 3D - 2D Laplace Equation on Rectangle

Explore multidimensional heat equations and the 2D Laplace equation on rectangles, advancing your understanding of engineering mathematics and partial differential equations.

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

Analytic Solution to Laplace's Equation in 2D - On Rectangle

Explore the analytic solution to Laplace's equation in 2D on a rectangle, enhancing your understanding of engineering mathematics and partial differential equations.

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

Inverse Laplace Transform and the Bromwich Integral

Explore the inverse Laplace transform and Bromwich integral in engineering mathematics, focusing on applications and problem-solving techniques for complex systems analysis.

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

ML Bounds and Examples of Complex Integration

Explore ML Bounds and complex integration techniques in engineering mathematics, enhancing problem-solving skills for advanced mathematical applications.

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

Cauchy Integral Formula

Explore the Cauchy Integral Formula in complex analysis, a fundamental tool for evaluating contour integrals and analyzing holomorphic functions in engineering mathematics.

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