Eigenvalues Courses and Certifications

Steve Brunton

Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

Learn to solve systems of linear ODEs using eigenvalues and eigenvectors. Covers problem setup, solution methods, and intuitive interpretation, with code examples in Python and MATLAB.

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

Steve Brunton

Motivating Eigenvalues and Eigenvectors with Differential Equations

Explore eigenvalues and eigenvectors through differential equations, deriving key concepts and visualizing their applications in matrix systems for a deeper understanding of linear algebra.

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

Insights into Mathematics

Generalized Dilations and Eigenvalues - Wild Linear Algebra A - NJ Wildberger

Explore coordinate systems, basis changes, and similar matrices in linear algebra. Learn about generalized dilations and the fundamental concept of eigenvalues and eigenvectors.

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

Steve Brunton

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

Explore 2x2 systems of ODEs, eigenvalues, eigenvectors, and phase portraits in engineering mathematics. Learn to analyze and visualize complex dynamical systems.

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

Steve Brunton

Eigenvalues and Eigenvectors

Explore eigenvalues and eigenvectors, key concepts in linear algebra. Learn to compute them for any matrix, understand their significance in transformations, and apply them to solve complex linear systems.

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

Linear Algebra for Data Science in R

This course is an introduction to linear algebra, one of the most important mathematical topics underpinning data science.

• DataCamp
• 4 hours
• Self-Paced
• Free Trial Available

Institut des Hautes Etudes Scientifiques (IHES)

The Miracle of Integer Eigenvalues in Finite Poset Matrices

Explore the fascinating connection between finite posets and integer eigenvalues in matrix theory, with implications for symmetric group representations.

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

NPTEL-NOC IITM

Invariant Subspaces, Eigenvalues, and Eigenvectors

Explore invariant subspaces, eigenvalues, and eigenvectors to deepen your understanding of linear algebra concepts and their applications.

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

Ryan O'Donnell

Spectral Graph Theory - Eigenvalues at CMU - Lecture 15a of CS Theory Toolkit

Explore eigenvalues of the Laplacian and Markov operator in spectral graph theory, including associated formulas and their applications in theoretical computer science research.

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

Serrano.Academy

Discrete Dynamical Systems - Eigenvalues and Eigenvectors

Explore eigenvalues and eigenvectors in discrete dynamical systems, a key component of linear algebra for machine learning, with practical applications and computational examples.

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

Wrath of Math

Power Method for Dominant Eigenvalues and Eigenvectors in Linear Algebra

Learn to approximate dominant eigenvalues and eigenvectors using the power method with maximum entry and Euclidean scaling. Explore power sequences, Rayleigh quotient, and geometric intuition in linear algebra.

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

Centre de recherches mathématiques - CRM

Eigenvalues and Minimal Surfaces

Explore Laplace operator eigenvalues, their physical significance, and connection to minimal surfaces. Discover recent findings in isoperimetric eigenvalue problems for Riemannian surfaces.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Properties of Eigenvalues

Explore key properties of eigenvalues in linear algebra, enhancing understanding of matrix transformations and their applications in various fields.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling

Explore polaron models at weak coupling, focusing on the absence of excited eigenvalues below the essential spectrum in Fröhlich-type systems at zero total momentum.

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

Squid: Schools for Quantum Information Development

Improved Approximations for Extremal Eigenvalues of Sparse Hamiltonians

Discover advanced approximation techniques for eigenvalues in sparse Hamiltonians, exploring new methods for quantum systems with q-local terms and improved mathematical approaches for k-sparse configurations.

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