Insights into Mathematics Courses

Center of Mass and Barycentric Coordinates - Wild Linear Algebra A

Explore vectors, forces, and motion through engaging games. Learn about center of mass, Archimedes' principle, and barycentric coordinates in this comprehensive linear algebra lecture.

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

Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger

Explore vector geometry, arithmetic, and affine combinations. Learn key theorems about parallelograms and triangles. Practice with exercises on vector properties and geometric relationships.

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

Introduction to Linear Algebra - Wild Linear Algebra A 1 - NJ Wildberger

Explore geometric approach to linear algebra, focusing on vectors, coordinate systems, and transformations. Learn essential concepts and problem-solving techniques in this foundational mathematics course.

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

Applications of Row Reduction - Gaussian Elimination I - Wild Linear Algebra A - NJ Wildberger

Explores row reduction applications in linear algebra: inverting matrices, finding eigenvalues/eigenvectors, and calculating determinants. Includes examples and exercises for practical understanding.

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

Linear Algebra With Polynomials - Wild Linear Algebra A

Explore polynomials in linear algebra, covering interpolation, regression, and isomorphism. Learn to apply geometric approaches to transformations and connect polynomial spaces with vector spaces.

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

The Geometry of a System of Linear Equations - Wild Linear Algebra A

Explore the geometry of linear equations through a novel approach using properties instead of infinite sets. Gain insights into subspaces, kernel, and linear transformations with practical examples.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Rank and Nullity of a Linear Transformation - Wild Linear Algebra A - NJ Wildberger

Explore linear transformations in higher dimensions, focusing on kernel, image, nullity, and rank. Learn to visualize 4D space and apply row reduction techniques to solve problems.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

The Big Mathematics Divide - Between "Exact" and "Approximate" - Sociology and Pure Maths

Explores the divide between exact and approximate theories in pure mathematics, challenging conventional views on arithmetic, algebra, topology, and number theory, including the Riemann Hypothesis.

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

The Mathematics of Scales and Modes - Maths and Music

Explore mathematical framework for scales and modes using 12-tone chromatic scale. Learn interval sequences, scale types, and connections to clock arithmetic and discrete calculus.

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

The Operation of Caret - Exponentiation via Multisets - Math Foundations

Explore a new arithmetic operation called "caret" (exponentiation) for multisets, extending the ladder of operations beyond addition and multiplication with concrete examples and recursive counting functions.

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

The Big Step from Polynumbers to Multinumbers - Math Foundations - N J Wildberger

Explore the transition from polynumbers to multinumbers, expanding arithmetic concepts using multisets. Learn new notations and operations for a more flexible algebraic framework.

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

A Multiset Approach to Arithmetic - Math Foundations

Explore a new framework for arithmetic using multisets, introducing natural numbers, polynumbers, and multinumbers. Learn innovative definitions and operations that offer profound insights into mathematical structures.

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

Rethinking Standard Model Numerology

Explore particle physics' Standard Model, focusing on quantum numbers, particle classifications, and novel representations of Baryon and Meson families. Gain insights into the eight-fold way and quark theory.

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

Is Pure Mathematics Logically Viable? Five Challenges - Sociology and Pure Maths

Exploring five challenges to pure mathematics' logical viability, this talk critically examines the field's foundations and encourages reevaluation of its core principles and practices.

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

Think Like a Babylonian - With Centimal Base 100 Arithmetic - Sociology and Pure Maths

Explore Babylonian arithmetic through base 100 system, comparing it to modern methods. Gain insights into ancient Mesopotamian mathematics and its innovative floating-point approach.

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