Insights into Mathematics Courses

The Underlying Arithmetic of Physics - Matrices or Maxels?

Explore how matrices and maxels could serve as the fundamental computational engine of physics, moving beyond standard arithmetic to non-commutative realms for deeper insights.

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

Math Terminology for Incoming University Students

Master essential mathematical vocabulary and notation needed for university-level studies across algebra, geometry, calculus, and logic in this comprehensive preparation guide.

• YouTube
• 4 hours 21 minutes
• Self-Paced
• Free Video

Elementary Mathematics Explained - K-6

Discover fundamental math concepts through visual geometry, arithmetic patterns, and practical applications designed for elementary education and teacher development.

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

Arithmetic and Geometry Math Foundations

Explore fundamental mathematical concepts from arithmetic and geometry to abstract algebra, challenging conventional approaches with rational number systems and innovative geometric frameworks.

• YouTube
• 4 days 1 hour 49 minutes
• Self-Paced
• Free Video

Arithmetic and Geometry - Math Foundations

Explore fundamental mathematical concepts from basic arithmetic through advanced geometry, covering number systems, fractions, Euclidean geometry, algebra, polynomials, and calculus foundations.

• YouTube
• 18 hours 52 minutes
• Self-Paced
• Free Video

Wild Trig - An Introduction to Rational Trigonometry

Discover a revolutionary algebraic approach to trigonometry using quadrance and spread instead of angles and irrational numbers for more efficient geometric calculations.

• YouTube
• 19 hours 47 minutes
• Self-Paced
• Free Video

Geometric Linear Algebra

Discover a visual approach to linear algebra emphasizing geometry, logic, and exact arithmetic through vectors, matrices, transformations, and applications to physics and geometry.

• YouTube
• 1 day 9 hours 34 minutes
• Self-Paced
• Free Video

Algebraic Topology

Explore topological spaces, surfaces, knots, and fundamental groups through geometric intuition and algebraic methods in this comprehensive mathematical journey.

• YouTube
• 1 day 5 hours 1 minute
• Self-Paced
• Free Video

Universal Hyperbolic Geometry - A Projective and Algebraic Approach

Explore hyperbolic geometry through a projective, algebraic approach using rational trigonometry—no calculus required, connecting to relativity and Minkowski geometry.

• YouTube
• 1 day 7 hours 7 minutes
• Self-Paced
• Free Video

Real Numbers and Limits

Explore fundamental concepts of real numbers, limits, and mathematical foundations through critical examination of infinity, sequences, and numerical approximation methods.

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

Differential Geometry - Complete Course with Classical Curves, Surfaces, and Curvature Theory

Explore curves, surfaces, and curvature through classical and modern approaches, including projective geometry, algebraic methods, and computational visualization with GeoGebra.

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

Elementary Probability and Statistics

Discover fundamental concepts in probability theory and statistics, from basic counting to normal distributions, with clear explanations of random variables and statistical measures.

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

Year 9 Mathematics - Complete Course

Master fundamental arithmetic operations, index laws, and scientific notation through comprehensive Year 9 mathematics instruction by NJ Wildberger.

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

The Algebra of Boole - Logic and Circuit Analysis - MF250-280

Explore Boole's algebra for logic and circuit analysis, covering historical foundations, logical operations, transistors, and systematic deduction methods.

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

Solving Polynomial Equations and the Geode - Part I

Explore a novel approach to solving polynomial equations using hyper-Catalan number series, sidestepping traditional Galois theory methods and examining applications to the Bring radical and Wallis' cubic equation.

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