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University of Washington

Control Bootcamp

2 rewiews
Rapid overview of optimal control concepts, covering controllability, observability, LQR, and Kalman filter. Applies main approaches to simple Matlab examples for practical understanding.
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47 Lesons
11 hours
On-Demand
Free-Video
Massachusetts Institute of Technology

MIT - A 2020 Vision of Linear Algebra, Spring 2020

1 rewiews
Professor Strang presents a fresh approach to linear algebra, focusing on matrices. This concise series covers key concepts like column space, orthogonality, eigenvalues, and solving linear systems.
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7 Lesons
1 hour 30 minutes
On-Demand
Free-Video
NPTEL

Linear Algebra

0 rewiews
In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.
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52 Lesons
1 day 16 hours
On-Demand
Free-Video
NPTEL

Quantum Mechanics and Applications

0 rewiews
Explore quantum mechanics fundamentals, including wave-particle duality, Schrödinger equation, and applications in atomic physics. Develop problem-solving skills for quantum systems.
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42 Lesons
1 day 16 hours
On-Demand
Free-Video
NPTEL

Dynamics of Ocean Structures

0 rewiews
Explore ocean structure dynamics, from types and environmental forces to vibration analysis and stochastic dynamics. Learn about platforms, fluid-structure interaction, and response control methods.
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49 Lesons
1 day 17 hours
On-Demand
Free-Video
NPTEL

Basic Linear Algebra

0 rewiews
Linear Algebra is a basic course for students intended to go for Engineering studies and higher studies in Mathematics. We will cover the basic tools needed in these branches.
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41 Lesons
16 hours
On-Demand
Free-Video

Linear Algebra

0 rewiews
Comprehensive exploration of linear algebra concepts, from basic operations to advanced topics like eigenvalues, with practical applications and problem-solving techniques.
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30 Lesons
7 hours
On-Demand
Free-Video
NPTEL

Applied Linear Algebra

0 rewiews
Explore vector spaces, linear maps, eigenvalues, and applications in systems, algorithms, and optimization. Gain practical skills in linear algebra for various fields.
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48 Lesons
1 day
On-Demand
Free-Video
University of Central Florida

Facial Recognition: Eigenvectors and Covariance Matrices - Lecture 14

0 rewiews
Explore facial recognition technology, from simple approaches to advanced techniques using eigenvectors and covariance matrices. Learn about challenges and solutions in this field.
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12 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Two-sided Lieb-Thirring Bounds for Semi-bounded Schrödinger Operators

0 rewiews
Explore upper and lower bounds for eigenvalues of semi-bounded Schrödinger operators, focusing on atomic Hamiltonians with Kato potentials and the landscape function in all spatial dimensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Monotonicity of Entropy in Families of Interval Maps - Lecture 2

0 rewiews
Explore the transfer operator, holomorphic motions, and entropy monotonicity in interval maps. Gain insights into applications in rational dynamics and quadratic families.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
statisticsmatt

Matrices

0 rewiews
Explore advanced matrix concepts including Kronecker product, spectral decomposition, singular value decomposition, and projection matrices, with applications in statistics and linear algebra.
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22 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Linear Algebra

0 rewiews
Comprehensive exploration of linear algebra concepts, from basic matrix operations to complex numbers, with practical examples and geometric applications.
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92 Lesons
14 hours
On-Demand
Free-Video

A Second Course in Differential Equations

0 rewiews
Explore advanced topics in ordinary differential equations, including linear systems, eigenvalues, numerical methods, and Python implementations for solving complex ODEs.
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38 Lesons
5 hours
On-Demand
Free-Video

Linear Algebra - Vol 2

0 rewiews
Explore advanced linear algebra concepts including transformation matrices, determinants, cofactors, eigenvalues, and eigenvectors through comprehensive lessons and practical examples.
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21 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Grade 11 Maths - Matrices

0 rewiews
Explore matrices, determinants, and their applications in solving systems of equations, including Cramer's rule, for Ethiopian Grade 11 mathematics.
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7 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Professor Dave Explains

Linear Algebra

0 rewiews
Comprehensive exploration of linear algebra concepts, from matrices and vector spaces to eigenvalues and transformations, with practical applications and in-depth explanations.
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21 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Academic Lesson

Linear Algebra for Quantum Mechanics

0 rewiews
Explore essential linear algebra concepts for quantum mechanics, including linear transformations, eigenvectors, and Hermitian operators, enhancing your understanding of mathematical formalism in quantum physics.
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5 Lesons
2 hours 7 minutes
On-Demand
Free-Video
Steve Brunton

Drawing Phase Portraits for Nonlinear Systems

0 rewiews
Learn to analyze nonlinear systems by drawing phase portraits, identifying fixed points, linearizing, and inferring global dynamics. Gain practical skills in stability analysis using eigenvalues and eigenvectors.
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7 Lesons
26 minutes
On-Demand
Free-Video
Steve Brunton

Systems of ODEs - Saddle Points and Instability

0 rewiews
Explore unstable saddle points in 2D linear ODEs, their applications in energy-efficient transport, and analysis using eigenvalues, eigenvectors, and phase portraits.
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5 Lesons
28 minutes
On-Demand
Free-Video
Steve Brunton

Eigenvalues and Eigenvectors

0 rewiews
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.
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7 Lesons
34 minutes
On-Demand
Free-Video
Steve Brunton

More Examples of Second Order Differential Equations

0 rewiews
Explore advanced examples of second-order ODEs, including characteristic polynomials, initial conditions, and matrix systems. Learn to solve, plot, and interpret results using MATLAB.
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6 Lesons
32 minutes
On-Demand
Free-Video
Steve Brunton

Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations

0 rewiews
Explore stability of Forward and Backward Euler integration schemes for differential equations through eigenvalue analysis, covering continuous and discrete dynamics, scalar and matrix systems.
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6 Lesons
33 minutes
On-Demand
Free-Video
Institute for Advanced Study

On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

0 rewiews
Explore Chen's breakthrough on the KLS conjecture and Bourgain's slicing problem, covering key mathematical concepts, historical context, and implications for discrete mathematics and computer science.
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20 Lesons
1 hour 53 minutes
On-Demand
Free-Video
Institute for Advanced Study

X-Ramanujan Graphs - Ex Uno Plures

0 rewiews
Explore X-Ramanujan graphs with Ryan O'Donnell, covering additive lifts, generic graphs, eigenvalues, and matching polynomials in this advanced computer science and discrete mathematics seminar.
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13 Lesons
59 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Mathematik für Ingenieure 3

0 rewiews
Umfassende Einführung in mehrdimensionale Integration und Vektoranalysis für Ingenieure, mit Fokus auf praktische Anwendungen und Problemlösungen in der höheren Mathematik.
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48 Lesons
21 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Linear Algebra

0 rewiews
Umfassende Einführung in die lineare Algebra mit Schwerpunkt auf Matrizen, Determinanten, Eigenwerte und komplexe Zahlen. Praktische Anwendungen und Übungen vertiefen das Verständnis.
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40 Lesons
20 hours
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Fonctions sphéroïdales et triplets spectraux

0 rewiews
Explorez la construction de triplets spectraux à partir de l'opérateur différentiel W, reproduisant les comportements des zéros de zeta dans l'infrarouge et l'ultraviolet.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 20

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na mecânica clássica.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 19

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 18

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 8

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 07

0 rewiews
Explore advanced concepts in vibration and wave theory, including nonlinear waves, mathematical models, and applications in this graduate-level lecture by Alexei Mailybaev.
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1 Lesons
2 hours 3 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 06

0 rewiews
Explore equações do movimento, oscilações e ondas lineares e não-lineares em física matemática avançada. Aprofunde-se em princípios variacionais, simetrias e leis de conservação.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 05

0 rewiews
Explore vibrações e ondas através de equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 54 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 04

0 rewiews
Explore vibrações e ondas através de equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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7 Lesons
1 hour 54 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 12

0 rewiews
Explore advanced vibration and wave theory concepts, including eigenvalues, equilibrium, and nonconservative systems in this comprehensive mathematical lecture.
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7 Lesons
2 hours 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 11

0 rewiews
Explore vibrações e ondas através de equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na mecânica clássica.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 10

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 09

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 17

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 16

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 15

0 rewiews
Explore advanced concepts in vibration and wave theory, including nonlinear waves, mathematical models, and applications in this graduate-level lecture by Alexei Mailybaev.
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1 Lesons
2 hours 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 14

0 rewiews
Explore advanced concepts in vibration and wave theory, including nonlinear waves, mathematical models, and applications in this graduate-level lecture by Alexei Mailybaev.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 13

0 rewiews
Explore vibrações e ondas com foco em equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na mecânica clássica.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Sharp Stability of Higher Order Dirichlet Eigenvalues

0 rewiews
Explorez la stabilité des valeurs propres de Dirichlet d'ordre supérieur, en examinant les limites nettes pour les valeurs propres dégénérées et les groupes de valeurs propres.
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17 Lesons
51 minutes
On-Demand
Free-Video
CIMPA UCR

Sumabilidad y Regularización en Física Matemática

0 rewiews
Explora métodos de sumabilidad para series divergentes y su aplicación en la regularización de problemas en física matemática utilizando funciones zeta.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 03

0 rewiews
Explore equações do movimento, oscilações e ondas lineares e não-lineares em física matemática avançada. Aprofunde-se em princípios variacionais, simetrias e leis de conservação.
Add to list
1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 02

0 rewiews
Explore equações do movimento, oscilações e ondas lineares/não-lineares. Aprofunde-se em princípios variacionais, simetrias, estabilidade e métodos espectrais em física matemática avançada.
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1 Lesons
2 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 01

0 rewiews
Explore os fundamentos da teoria de vibrações e ondas, abordando equações do movimento, oscilações e ondas lineares e não lineares, com aplicações práticas e métodos matemáticos avançados.
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1 Lesons
1 hour 52 minutes
On-Demand
Free-Video
Steve Brunton

Linear Systems - Control Bootcamp

0 rewiews
Analyze ordinary differential equations using eigenvalues and eigenvectors, laying the foundation for linear control theory in this comprehensive mathematical exploration.
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1 Lesons
25 minutes
On-Demand
Free-Video
Serrano.Academy

Principal Component Analysis

0 rewiews
Explore dimensionality reduction through PCA, covering variance, covariance, eigenvectors, and eigenvalues. Learn key concepts with visual explanations and practical applications in data analysis.
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13 Lesons
27 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 1

0 rewiews
Delve into spectral analysis of random graphs, exploring adjacency operators, Laplacian matrices, and Benjamini-Schramm topology. Examine convergence properties and quantum percolation in graph theory.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 4

0 rewiews
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 2

0 rewiews
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on spectral measures and quantum percolation theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 5

0 rewiews
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
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1 Lesons
2 hours 9 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 3

0 rewiews
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on convergence properties and quantum percolation.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Simons Institute

Spectral Aspects of Symmetric Matrix Signings

0 rewiews
Explore symmetric matrix signings, their spectral aspects, and applications in graph theory, polynomial identity testing, and algorithmic problems.
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11 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

Paraboloids and Associated Quadratic Forms - Differential Geometry

0 rewiews
Explore paraboloids and quadratic forms in differential geometry, covering diagonalization, eigenvalues, and Dupin's indicatrix. Learn key concepts for understanding surface curvature.
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8 Lesons
47 minutes
On-Demand
Free-Video
Ryan O'Donnell

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

0 rewiews
Explore eigenvalues of the Laplacian and Markov operator in spectral graph theory, including associated formulas and their applications in theoretical computer science research.
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8 Lesons
22 minutes
On-Demand
Free-Video
Insights into Mathematics

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

0 rewiews
Explore coordinate systems, basis changes, and similar matrices in linear algebra. Learn about generalized dilations and the fundamental concept of eigenvalues and eigenvectors.
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13 Lesons
56 minutes
On-Demand
Free-Video
Simons Institute

Benign Overfitting in Linear Prediction

0 rewiews
Explore the phenomenon of benign overfitting in linear prediction, its implications for deep learning, and its impact on adversarial examples in machine learning.
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12 Lesons
48 minutes
On-Demand
Free-Video
Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

0 rewiews
Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.
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9 Lesons
32 minutes
On-Demand
Free-Video
Steve Brunton

Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

0 rewiews
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.
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6 Lesons
22 minutes
On-Demand
Free-Video
Steve Brunton

Motivating Eigenvalues and Eigenvectors with Differential Equations

0 rewiews
Explore eigenvalues and eigenvectors through differential equations, deriving key concepts and visualizing their applications in matrix systems for a deeper understanding of linear algebra.
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7 Lesons
24 minutes
On-Demand
Free-Video
Steve Brunton

Matrix Systems of First Order Equations Using Eigenvectors and Eigenvalues

0 rewiews
Explore matrix systems of first-order equations, diagonalization techniques, and higher-order linear ODEs. Learn to solve complex differential equations using eigenvectors and eigenvalues.
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5 Lesons
48 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions

0 rewiews
Explore spectral results and open problems for Dirac-Coulomb operators with general charge distributions, focusing on self-adjoint extensions, eigenvalue characterizations, and electron stability conditions.
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21 Lesons
49 minutes
On-Demand
Free-Video
Khan Academy

Null Space and Column Space Basis - Vectors and Spaces - Linear Algebra - Khan Academy

0 rewiews
Learn to determine null space and column space basis for matrices, essential concepts in linear algebra for understanding vector spaces and transformations.
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1 Lesons
25 minutes
On-Demand
Free-Video
Khan Academy

Linear Subspaces - Vectors and Spaces - Linear Algebra

0 rewiews
Explore linear subspaces in Rn, a fundamental concept in linear algebra. Learn to visualize and understand multi-dimensional mathematical reasoning through vectors, matrices, and transformations.
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1 Lesons
23 minutes
On-Demand
Free-Video
Khan Academy

Vector Examples - Vectors and Spaces - Linear Algebra - Khan Academy

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Explore visual understanding of basic vector operations in linear algebra. Learn to visualize and manipulate vectors in multiple dimensions, enhancing your grasp of mathematical concepts.
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1 Lesons
26 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Dynamical Systems - Lecture 1

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Explore dynamical systems, from linear ODEs to nonlinear chaos. Learn about equilibrium points, eigenvalues, attractors, and bifurcations. Gain insights into Lorenz systems, Poincaré maps, and iterative methods.
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25 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Axel Målqvist - Localization of Multiscale Problems

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Explore multiscale problem-solving techniques, focusing on Local Orthogonal Decomposition for PDEs. Learn about convergence, high-contrast data, and applications to time-dependent problems.
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16 Lesons
58 minutes
On-Demand
Free-Video
Khan Academy

Another Example of a Projection Matrix - Linear Algebra - Khan Academy

0 rewiews
Learn to calculate projection matrices by first determining the orthogonal complement's matrix. This advanced linear algebra lesson explores subspace projections and their applications in multidimensional reasoning.
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1 Lesons
22 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Random Matrix Theory and its Applications - Lecture 2

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Explore advanced concepts in random matrix theory, including linear algebra basics, operators, transformations, eigenvectors, and various matrix ensembles, with applications in statistical physics.
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21 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Fields Institute

Oriented Cayley Graphs

0 rewiews
Explore oriented Cayley graphs, quantum walks, and association schemes. Discover applications in algebraic graph theory and quantum information, with insights on special eigenvalues and Galois groups.
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17 Lesons
49 minutes
On-Demand
Free-Video
Professor Dave Explains

Finding Eigenvalues and Eigenvectors

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Explore eigenvalues and eigenvectors in linear algebra, their importance in math and physics, and learn how to find them through clear explanations and examples.
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6 Lesons
17 minutes
On-Demand
Free-Video
NIOS

Advanced Engineering Mathematics

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Comprehensive exploration of advanced mathematical concepts, including complex analysis, transforms, probability, linear algebra, and more, with applications to engineering problems.
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36 Lesons
1 day 10 hours
On-Demand
Free-Video
Simons Institute

High-Dimensional Expanders - Lecture 4

0 rewiews
Explore advanced concepts in high-dimensional expanders, focusing on analysis techniques and applications in theoretical computer science.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Simons Institute

Graph Linear Algebra Part 1

0 rewiews
Explore fundamental concepts of graph linear algebra, focusing on matrices, spectral theory, and their applications in algorithmic graph theory and network analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

Graph Linear Algebra Part 2

0 rewiews
Explore advanced concepts in graph linear algebra, focusing on data structures and optimization techniques for developing efficient algorithms.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Steve Brunton

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

0 rewiews
Explore 2x2 systems of ODEs, eigenvalues, eigenvectors, and phase portraits in engineering mathematics. Learn to analyze and visualize complex dynamical systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Eigenvalues, Eigenvectors, and Dynamical Systems

0 rewiews
Explore eigenvalues, eigenvectors, and dynamical systems in engineering mathematics, focusing on their applications and significance in solving complex problems.
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1 Lesons
47 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Linear Algebra - Eigenvalues and Eigenvectors Explained

0 rewiews
Comprehensive tutorial on calculating eigenvalues and eigenvectors of matrices, featuring two worked examples. Covers the eigenvalue equation, characteristic polynomial, and step-by-step solutions for 2x2 and 3x3 matrices.
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1 Lesons
26 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Linear Algebra - Spectral Theorem Proof

0 rewiews
Comprehensive proof of the Spectral Theorem for real symmetric matrices, demonstrating real eigenvalues and diagonalization using eigenvector basis. Includes step-by-step explanation and mathematical reasoning.
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1 Lesons
35 minutes
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International Centre for Theoretical Sciences

Finite Dimensional Vector Spaces - An Overview

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Comprehensive overview of finite dimensional vector spaces, exploring key concepts, properties, and applications in linear algebra and mathematical analysis.
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1 Lesons
1 hour 37 minutes
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Institute for Pure & Applied Mathematics (IPAM)

Spectrum of Random-to-Random Shuffling in the Hecke Algebra

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Explore the elegant eigenvalue formulas of random-to-random shuffling and its generalization to the Hecke algebra, with insights into Markov chains and algebraic combinatorics.
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1 Lesons
21 minutes
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Gautam Varde

Diagonalization of a Matrix - Numerical Examples in Linear Algebra

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Learn to diagonalize matrices through clear examples, enhancing your understanding of linear algebra and its applications in various mathematical and scientific fields.
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1 Lesons
11 minutes
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Mathemaniac

The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures

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Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.
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1 Lesons
16 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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

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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.
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1 Lesons
44 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Improved Lieb-Thirring Type Inequalities for Non-Selfadjoint Schroedinger Operators

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Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.
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1 Lesons
41 minutes
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Institute for Mathematical Sciences

Applications of Duality - Lecture 3

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Explore applications of dual processes in Markov chains, including strong stationary times, eigenvalue interpretation, and solutions to the Peres conjecture for Birth and Death chains.
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1 Lesons
55 minutes
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Wrath of Math

Power Method for Dominant Eigenvalues and Eigenvectors in Linear Algebra

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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.
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14 Lesons
21 minutes
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NPTEL-NOC IITM

Invariant Subspaces, Eigenvalues, and Eigenvectors

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Explore invariant subspaces, eigenvalues, and eigenvectors to deepen your understanding of linear algebra concepts and their applications.
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1 Lesons
34 minutes
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Conference GSI

Perturbation of Fiedler Vector: Interest for Graph Measures and Shape Analysis

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Explore Fiedler vector perturbation and its applications in graph measures and shape analysis, gaining insights into advanced mathematical concepts.
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1 Lesons
21 minutes
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NPTEL-NOC IITM

Properties of Eigenvalues

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Explore key properties of eigenvalues in linear algebra, enhancing understanding of matrix transformations and their applications in various fields.
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1 Lesons
12 minutes
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Dot Physics

Solving the 2x2 Eigenvalue Problem - Also with Python

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Explore eigenvalues and eigenvectors for a 2x2 matrix, with practical Python implementation for solving complex linear algebra problems.
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17 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

Spherical Plateau Problem and Applications in Geometric Analysis

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Explore area minimization in Hilbert sphere quotients, entropy inequality, and stability results for Riemannian surfaces, with applications to hyperbolic geometry and eigenvalue bounds.
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14 Lesons
1 hour
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Institut des Hautes Etudes Scientifiques (IHES)

The Bottom of the L^2 Spectrum of Higher-rank Locally Symmetric Spaces

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Explore the $L^2$ spectrum of higher-rank locally symmetric spaces, examining connections between Laplace eigenfunctions and Patterson-Sullivan measures.
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1 Lesons
47 minutes
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Prof. Ryan C. Cooper

Linear Algebra in NumPy and SciPy - ME3255

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Learn essential linear algebra operations using NumPy and SciPy libraries in Python for efficient numerical computations and data analysis.
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32 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

The Miracle of Integer Eigenvalues in Finite Poset Matrices

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