Matrix Theory Courses and Certifications

Centre International de Rencontres Mathématiques

Large Deviations for Macroscopic Observables of Heavy-Tailed Matrices

Explore advanced mathematical concepts of large deviations and their applications to heavy-tailed matrices through expert analysis of macroscopic observables.

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

Differential Equations Part I Basic Theory

1391 ratings at Coursera

Explore basic theory, methods, and applications of differential equations, building on calculus and matrix knowledge for practical use across various fields.

• Coursera
• 14 hours 30 minutes
• On-Demand
• Free Online Course (Audit)

Differential Equations Part III Systems of Equations

Explore systems of linear equations and stability of autonomous systems in differential equations, building on calculus and matrix theory knowledge.

• Coursera
• 10 hours 25 minutes
• On-Demand
• Free Online Course (Audit)

Differential Equations Part II Series Solutions

10 ratings at Coursera

Learn advanced techniques for solving differential equations, including series solutions, Frobenius method, and special functions like Bessel and Legendre polynomials.

• Coursera
• 14 hours 21 minutes
• On-Demand
• Free Online Course (Audit)

NPTEL;  IISc Bangalore

Advanced Matrix Theory and Linear Algebra for Engineers

1 review

Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.

• YouTube
• 1 day 14 hours
• On-Demand
• Free Video

Finite Mathematics

Master linear programming, matrix theory, probability, and finance math. Apply advanced mathematical concepts to business, economics, and social sciences.

• California Community Colleges System
• 15 weeks, 3 hours a week
• 26th Aug, 2024
• Paid Course

IIT Roorkee;  NPTEL

Essential Mathematics for Machine Learning

Explore essential mathematical concepts for machine learning, including linear algebra, calculus, optimization, and probability theory. Gain foundational knowledge to develop new algorithms and understand ML applications.

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

IIT Roorkee;  NPTEL

Matrix Analysis with Applications

Comprehensive exploration of matrix theory and applications, covering computations, transformations, iterative methods, and specialized topics for engineering and science students.

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

Beijing Institute of Technology

Matrix Analysis

introduce the key mathematical ideas in matrix theory, which are used in modern methods of matrix Lie groups, functional analysis, data analysis, scientific computing, optimization, and merely all quantitative fields of sci-ence and engineering.

• XuetangX
• On-Demand
• Free Online Course

statisticsmatt

Brief Series on Eigenvalue Inequalities

Explore key eigenvalue inequalities for symmetric matrices, including Courant-Fischer, Weyl's, Gershgorin Circle, and Brauer's oval theorems, with applications to correlation matrices.

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

Advanced Matrix Theory and Linear Algebra for Engineers

Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.

• YouTube
• 1 day 8 hours
• On-Demand
• Free Video

Insights into Mathematics

Reflections and Projective Linear Algebra - Universal Hyperbolic Geometry

Explore reflections in hyperbolic geometry through projective linear algebra. Learn about null points, reflection matrices, and the sl(2) Lie algebra. Gain insights into fundamental symmetries and their mathematical representations.

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

Eigenvalues

Explore eigenvalues through diverse applications, from Zelda to Pokémon battles. Master matrix operations, differential equations, and advanced concepts like Jordan Canonical Form.

• YouTube
• 7 hours
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Symmetry and Determinantal Polynomials - SIAM SAGA Seminar

Explore symmetry in determinantal polynomials, from historical roots to modern applications. Discover representations of plane curves and connections to the principal minor map in this advanced mathematics seminar.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IEEE

Matrix Methods in Computer Science - Session 6B

Explore advanced matrix methods and their applications in computer science, focusing on cutting-edge research and algorithmic developments.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video