Eigenvalues Courses and Certifications

Centre de recherches mathématiques - CRM

Weyl Asymptotics for Poincare-Steklov Eigenvalues in Domains with Lipschitz Boundaries

Explorez les asymptotiques de Weyl pour les valeurs propres de Poincaré-Steklov dans un domaine à frontière lipschitzienne, avec une approche basée sur l'approximation par des problèmes réguliers.

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

Centre de recherches mathématiques - CRM

Maximization of Neumann Eigenvalues under Diameter Constraint

Explore Neumann eigenvalue maximization under diameter constraints, delving into advanced spectral geometry concepts and mathematical analysis techniques.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometrically Induced Discrete Eigenvalues of Dirac Operators with Lorentz Scalar Delta-Shell Interactions

Explore geometrically induced discrete eigenvalues of Dirac operators with Lorentz scalar δ-shell interactions on broken lines, revealing novel spectral properties in quantum theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Scalar Curvature via Dirac Eigenvalues

Explore advanced differential geometry connecting scalar curvature to Dirac eigenvalues, covering Llarull's theorem, Geroch conjecture, and Yamabe invariant relationships.

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

Centre de recherches mathématiques - CRM

Asymptotic Optimization of Riesz Means of Laplace Eigenvalues on Convex Sets

Delve into the asymptotic optimization of Riesz means of Laplace eigenvalues on convex sets, exploring mathematical proofs for convergence in Hausdorff distance to a disk in 2D and similar results in higher dimensions.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Math with Professor V

Differential Equations - Solving Systems with Complex Eigenvalues - Section 8.6

Master solving linear differential equation systems with complex eigenvalues through step-by-step methods, eigenvalue computation, and real-valued solution construction.

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

International Centre for Theoretical Sciences

Does the Unit Sphere Minimize the Laplacian Eigenvalues Under Certain Curvature Constraints

Explore whether the unit sphere minimizes Laplacian eigenvalues under specific curvature constraints in this advanced mathematical analysis.

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

Land on Vector Spaces with Python

Explore linear algebra foundations using Python, focusing on matrices, eigenvalues, and applications in ecology, Markov Chains, and Google PageRank. Develop practical skills for data analysis and problem-solving.

• Independent
• 4 weeks, 8 hours a week
• On-Demand
• Free Online Course

IIT Bombay;  NPTEL

Basic Linear Algebra

Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

Linear Algebra

Master fundamental linear algebra concepts, from matrices and determinants to eigenvalues and quadratic forms, building essential skills for science, engineering, and data analysis applications.

• XuetangX
• On-Demand
• Free Online Course

Linear Algebra

To illustrate the beauty and power of Linear Algebra.

• XuetangX
• On-Demand
• Free Online Course

Linear Algebra with Applications

Master fundamental linear algebra concepts and their real-world applications, from solving linear equations to web search algorithms, population modeling, and computer image transformation.

• XuetangX
• On-Demand
• Free Online Course

IIT Madras;  NPTEL

Applied Linear Algebra

Explore advanced linear algebra concepts and their applications in engineering, including vector spaces, linear transformations, eigenvalues, and matrix decompositions.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Linear Algebra

Master essential linear algebra concepts from matrices and determinants to vector spaces and eigenvalues, building practical computational skills and theoretical understanding for solving complex mathematical problems.

• XuetangX
• On-Demand
• Free Online Course

IISc Bangalore;  NPTEL

Linear Algebra

Comprehensive introduction to linear algebra, covering vectors, matrices, transformations, and advanced concepts. Suitable for undergraduates in mathematics, physics, engineering, and computer science.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course