Algebra Courses and Certifications

Tom Rocks Maths

Oxford Linear Algebra - Inner Product Space

Explore inner product spaces, bilinear forms, and orthonormal sets in linear algebra. Learn key concepts and proofs with practical examples and exercises to enhance understanding.

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

Tom Rocks Maths

Oxford Linear Algebra - Rank Nullity Theorem

Comprehensive exploration of rank and nullity concepts, including definitions, examples, and a step-by-step proof of the Rank Nullity Theorem in linear algebra.

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

Tom Rocks Maths

Oxford Linear Algebra - Linear Transformations Explained

Explore linear transformations with Oxford mathematician Dr Tom Crawford, covering definitions, properties, and examples in R3, including matrix multiplication and differentiation.

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

CppNow

C++ Compile-Time Sparse Matrices for Linear Algebra and Tracking Applications

Explore compile-time sparse matrices in C++ for efficient linear algebra and tracking applications, optimizing memory usage and performance through advanced type system techniques.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Conference Talk

CppNow

Linear Algebra for the Standard C++ Library

Exploring a proposal to add linear algebra components to the C++ standard library, covering design, rationale, and implementation details for matrices, vectors, and related operations.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Conference Talk

CppNow

Generic Programming of Generic Spaces - Compile-Time Geometric Algebra with C++11

Explore compile-time geometric algebra implementation using C++11, focusing on generic programming techniques for efficient and flexible spatial computations.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Conference Talk

Simons Institute

Sketching for Linear Algebra - Basics of Dimensionality Reduction and CountSketch II

Explore dimensionality reduction and CountSketch techniques in linear algebra, focusing on advanced applications and theoretical foundations for data science.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Strange Loop Conference

From Geometry to Algebra and Back Again: 4000 Years of Papers

Explore 4000 years of vector algebra history, its applications in art, science, and programming, and discover the potential of Geometric Algebra as a superior alternative.

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

International Mathematical Union

Beyond Linear Algebra

Explore advanced mathematical concepts beyond linear algebra, including critical point equations, nonlinear algebra in PDE, and geometric interpretations in optimization and statistics.

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

Institute for Pure & Applied Mathematics (IPAM)

On Quantum Linear Algebra for Machine Learning - IPAM at UCLA

Explore quantum singular value transformation for machine learning, its applications, limitations, and connections to classical algorithms in this technical talk on quantum linear algebra.

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

Let's Code Physics

Circuits - Linear Algebra for Physics with Python

Explore linear algebra applications in circuit analysis using Python, enhancing problem-solving efficiency for STEM students and professionals.

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

Insights into Mathematics

Aristotle's Syllogisms Revisited with the Algebra of Boole - MathFoundations 280

Explore Aristotle's syllogisms through modern propositional logic and Boolean algebra, offering new insights into classical reasoning and its contemporary applications.

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

Insights into Mathematics

Inference Rules via the Algebra of Boole - MathFoundations 275

Explore propositional logic inference rules using Boolean algebra, simplifying complex logical concepts and eliminating the need for memorization. Includes application to a Lewis Carroll puzzle.

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

Insights into Mathematics

How the Algebra of Boole Simplifies Circuit Analysis - Part 3

Explore Boolean algebra's role in simplifying circuit analysis, covering logic gates, algebraic expressions, and symmetry considerations for efficient circuit equivalence determination.

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

Insights into Mathematics

Linear Spaces and Spans I - Abstract Algebra Math Foundations 219

Introduction to linear spaces and spans, generalizing natural numbers with addition to form spans of multisets. Explores fundamental concepts in abstract algebra and linear algebra.

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