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

Logical Difficulties with Cyclotomic Fields - Famous Math Problems 20

Explores logical issues in cyclotomic fields, focusing on the challenges of embedding roots of unity into complex numbers and the limitations of purely algebraic approaches.

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

Irreducibility and the Schoenemann-Eisenstein Criterion - Famous Math Problems 20

Explores irreducibility in cyclotomic polynomials, Gauss's lemma, and Schoenemann's criterion. Applies concepts to prime-indexed cyclotomic polynomials and establishes Eisenstein's criterion.

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

Regular Colourings of Regular Tilings - Elementary Mathematics K-6 Explained - Lecture 39

Explore symmetry and patterns through regular colourings of plane tilings. Learn about reflection, translation, and rotation while creating visually pleasing designs. Ideal for developing spatial awareness and creativity in young learners.

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

The Perspective Image of a Square - Number Theoretic Approach - Lecture 18d

Explores the number theoretic aspects of perspective images of squares, including algebraic solutions, quadratic equations, and harmonic ranges, with applications to spheres and algebraic theorems.

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

Perspective Image of a Square - More Projective Geometry - Lecture 18b

Explore advanced projective geometry concepts, including perspective images, vanishing points, and Desargues' theorem, with applications in 2D and 3D space.

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

The Perspective Image of a Square - Famous Math Problems 18a

Explore projective geometry concepts like quadrilaterals, quadrangles, duality, and cross ratios in relation to perspective images of squares. Novel approach using planar vector cross products.

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

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

Regional Reserve Banking and the Western Cactus Bank

Explore historical banking trends, regional reserve banks, and financial strategies through the tale of the Western Cactus Bank and Western Regional Reserve Bank in the Wild West era.

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