Insights into Mathematics Courses

Energy, Momentum and Linear Algebra - Wild Linear Algebra B

Explore conservation of momentum and energy in mechanics using linear algebra, featuring a geometric interpretation of elastic collisions and a butterfly collision diagram for particle interactions.

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

Oriented Circles and Relativistic Geometry II - Wild Linear Algebra

Explores oriented circles in plane geometry and their connection to relativistic geometry, covering homothetic centers, Monge's theorem, and the Apollonius problem using algebraic approaches.

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

How to Write Mathematics at the College Level - Math Terminology

Learn effective techniques for writing clear, structured mathematical solutions at the college level, including defining terms, logical layout, complete sentences, and careful diagrams.

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

The Language of Calculus - Math Terminology

Explore fundamental calculus concepts, from position and velocity to differentiation and integration, with clear explanations and historical context. Gain insights into mathematical language and notation.

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

Sets, Logic and Graphs - Math Terminology - NJ Wildberger

Review of high school math language and notation for sets, logic, and basic graph theory. Covers key concepts like union, intersection, subsets, logical statements, and graph circuits, providing essential foundations for advanced mathematics.

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

Curves, Functions and Surfaces - Math Terminology - NJ Wildberger

Explore key mathematical concepts including curves, functions, and surfaces. Learn about conic sections, exponential and trigonometric functions, and their applications in calculus and three-dimensional geometry.

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

The Language of Algebra - Math Terminology

Essential algebra terminology and concepts for first-year university students, covering polynomials, sequences, series, and rational functions. Includes the Binomial theorem and an introduction to calculus with polynomials.

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

Bats, Echolocation, and a Newtonian View of Einstein's Special Relativity

Novel approach to Special Relativity using bats and sound instead of light, deriving key formulas through high school algebra. Emphasizes inertial observers over frames, making complex concepts more accessible.

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

The Language of Geometry - Math Terminology

Comprehensive review of geometry terminology for university students, covering Euclidean concepts, shapes, transformations, 3D geometry, and coordinate systems. Includes subtitles and supplementary materials.

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

The Relativistic Dot Product - Wild Linear Algebra B

Explore the relativistic dot product in Einstein's Special Relativity, comparing it to the Euclidean dot product and examining its applications in geometry and physics.

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

Simple Groups, Lie Groups, and the Search for Symmetry I - Math History - NJ Wildberger

Explore the history of group theory, from simple groups to Lie groups, and their role in describing symmetry in geometry. Discover remarkable mathematical objects and the classification of finite simple groups.

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

Circles and Spheres via Dot Products II - Wild Linear Algebra A

Explore 3D Euclidean dot products, quadrance, linear functionals, and spheres. Learn about projections, Pythagoras' theorem, and perpendicularity in three-dimensional space.

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

Algebraic Number Theory and Rings I - Math History - NJ Wildberger

Explore algebraic number theory and rings, focusing on extension fields, Gaussian integers, and the development of abstract ring theory in 19th-century mathematics.

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

Arithmetic and Practice Problems with Index Laws - Year 9 Maths - NJ Wildberger

Comprehensive exploration of index laws, covering various bases and practice problems. Enhances understanding through examples and introduces an additional law relating powers with different bases.

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

Dot Products, Pythagoras' Theorem, and Generalizations - Wild Linear Algebra A - NJ Wildberger

Algebraic approach to metrical geometry using dot products and quadrance. Introduces symmetric bilinear forms for understanding relativistic geometry, with applications to linear algebra and physics.

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