Vector Spaces Courses and Certifications

Vector and Matrix Algebra

4 ratings

This tutorial introduces students to essential ideas related to vectors and matrices.

• Complexity Explorer
• 1 hour
• Self-Paced
• Free Certificate

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
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Linear Algebra

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.

• YouTube
• 1 day 16 hours
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Quantum Mechanics I

This course covers basic concepts of quantum mechanics and mathematical preliminaries, eigenvalues, expectation values, measurement and the uncertainty principle, time evolution of wavepackets, 1-dimensional potential well problems

• YouTube
• 1 day 12 hours
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Quantum Mechanics I

Comprehensive introduction to quantum mechanics, covering linear vector spaces, postulates, uncertainty principle, harmonic oscillators, angular momentum, wave mechanics, and perturbation theory.

• YouTube
• 1 day 12 hours
• Self-Paced
• Free Video

Khan Academy

Linear Subspaces - Vectors and Spaces - Linear Algebra

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.

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

Wrath of Math

Elementary Linear Algebra - Complete Course

Master matrix operations, vector spaces, eigenvalues, and transformations through comprehensive lessons covering Gaussian elimination, determinants, orthogonality, and advanced topics.

• YouTube
• 17 hours 13 minutes
• Self-Paced
• Free Video

Master Linear Algebra 2020: The Complete Study Of Spaces

387 ratings at Udemy

Learn How to Define Space And How it is Characterized And Measured. We Make Linear Algebra Math Fun And Easy.

• Udemy
• 11 hours 31 minutes
• Self-Paced
• Paid Course

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
• Self-Paced
• Free Video

Linear Algebra and Geometry 2

303 ratings at Udemy

Much more about matrices; abstract vector spaces and their bases; linear transformations animated with MANIM

• Udemy
• 1 day 23 hours 9 minutes
• Self-Paced
• Paid Course

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video