Insights into Mathematics Courses

Arithmetic With Rectangles - Elementary Mathematics Explained

2 ratings

Explore arithmetic fundamentals using rectangles. Learn counting, addition, and multiplication with visual representations suitable for young learners. Develop a strong foundation in basic mathematical concepts.

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

Central Banks and National Currencies - Wild West Banking

1 rating

Explores central banking, fractional reserve banking, and loan creation, highlighting the risks and instability in modern banking systems through analogies and historical perspectives.

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

Boolean Algebra and Set Theory - Math Foundations - N J Wildberger

1 rating

Explore Boolean algebra, set theory, and Venn diagrams. Learn about De Morgan's laws, distributive properties, and their proofs using truth tables and Boole's algebra.

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

An Introduction to Abstract Algebra - Abstract Algebra Math Foundations

1 rating

Explore fundamental algebraic structures like groups, rings, fields, and vector spaces through intuitive examples, providing a bird's-eye view of abstract algebra's foundational concepts.

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

Logical Difficulties With the Modern Theory of Limits - Real Numbers + Limits Math Foundations

1 rating

Explores logical issues with the modern theory of limits in mathematics, examining the formal definition and its problems through examples and historical context.

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

Numbers and Arithmetic - Math Terminology

1 rating

A comprehensive review of fundamental mathematical concepts and terminology for university-level math, covering number systems, arithmetic operations, fractions, and basic number theory.

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

Classical Spherical Trigonometry - Universal Hyperbolic Geometry

1 rating

Comprehensive overview of classical spherical trigonometry, covering key concepts, laws, and theorems. Introduces a new algebraic approach to simplify and enhance the traditional framework.

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

Introduction to Topology in Mathematics History

1 rating

Explore topology's historical development, from Euler's polyhedron discoveries to Poincaré's insights. Learn about key concepts like Euler characteristic, Riemann surfaces, and surface classification in this mathematical journey.

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

Non-Euclidean Geometry - Math History - NJ Wildberger

1 rating

Explore the complex history and modern interpretations of non-Euclidean geometry, challenging traditional narratives and proposing new perspectives on this fundamental mathematical concept.

• YouTube
• 51 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