Vector Spaces Courses and Certifications

Abstract Algebra

Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Tom Rocks Maths

Oxford Linear Algebra - Direct Sum of Vector Spaces

Comprehensive explanation of direct sum of vector spaces with worked examples. Learn formal definitions, alternative representations, and how to verify direct sums through intersection and spanning checks.

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

IMSA

Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves

Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.

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

Fields Institute

Integrating Vector Fields on Subcartesian Spaces

Explore advanced mathematical concepts in vector field integration on subcartesian spaces with expert Yael Karshon, part of a broader workshop and program on toric topology.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Simpliciality of Vector-Valued Function Spaces

Explore the generalizations of Choquet theory for vector-valued function spaces, focusing on weak simpliciality and vector simpliciality concepts, their comparisons, and recent developments in representing measures.

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

Discover AI

Dimensional Reduction Using PaCMAP: From High-Dimensional Data to Vector Spaces - MNIST Case Study

Explore dimensional reduction using PaCMAP algorithm, from basic implementation to advanced applications with MNIST datasets, featuring hands-on Python coding in Colab notebooks.

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

The Julia Programming Language

Ferrite.jl - True Vector Interpolations for H(div) and H(curl) Spaces

Discover how Ferrite.jl now supports H(div) and H(curl) vector interpolations for advanced finite element problems in electromagnetic and fluid dynamics applications.

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

Institute for Advanced Study

Braided Vector Spaces and Arithmetic Statistics Over Function Fields

Explore braided vector spaces and their applications to arithmetic statistics over function fields, covering Cohen-Lenstra heuristics and Malle's conjecture through braid group cohomology.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Infinite Dimensional Vector Spaces - Class 6

Delve into infinite dimensional vector spaces with Oscar Reula in this sixth class of the Partial Differential Equations minicourse, exploring analytical and numerical tools.

• YouTube
• 2 hours 19 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Infinite Dimensional Vector Spaces - Class 5 - Part 2

Delve into analytical and numerical tools for partial differential equations with Oscar Reula, focusing on infinite dimensional vector spaces in this advanced minicourse session.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

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

IIT Roorkee;  NPTEL

Advanced Linear Algebra

Comprehensive exploration of linear algebra, covering theoretical concepts and computational aspects. Includes advanced topics like canonical forms, inner product spaces, and singular value decomposition.

• Swayam
• 12 weeks
• 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