Insights into Mathematics Courses

Rational Trigonometry and Mathematics Education - WildTrig: Intro to Rational Trigonometry

Innovative approach to teaching geometry and trigonometry, emphasizing rational methods for Year 9-10 students. Covers shapes, transformations, circle geometry, and challenges traditional concepts.

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

Maths Education and Rational Trigonometry - WildTrig: Intro to Rational Trigonometry

Innovative approach to teaching geometry and trigonometry, emphasizing rational trigonometry for Year 9-10 students. Covers progression from basic shapes to advanced topics, including circle geometry and 'pi'.

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

Rheticus and 17th Century Trig Tables - WildTrig: Intro to Rational Trigonometry - N J Wildberger

Explores Rheticus' groundbreaking 17th-century trigonometric tables, highlighting their historical significance and impact on classical trigonometry's development and application.

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

Maths Education and Rational Trigonometry - WildTrig: Intro to Rational Trigonometry

Exploring the challenges in trigonometry education and introducing rational trigonometry as a potential solution to improve mathematical understanding for students.

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

The General Rational Laws of Trigonometry - WildTrig: Intro to Rational Trigonometry

Explore general rational trigonometry laws in a planar setting, deriving elegant algebraic formulas without transcendental functions or real numbers. Learn key mathematical principles efficiently.

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

Geometry With a General Dot Product - WildTrig: Intro to Rational Trigonometry - N J Wildberger

Exploring advanced geometry using rational trigonometry and general dot products. Extends metrical geometry beyond chromogeometry, introducing new concepts of quadrance, perpendicularity, and spread.

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

Seminar- Five-Fold Symmetry, Schiffler Points and the Twisted Icosahedron

Explore five-fold symmetry, Schiffler points, and the twisted icosahedron in this advanced geometry seminar. Delve into projective and triangle geometry, dihedral orderings, and remarkable conics arising from five points in the plane.

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

Spreads, Determinants and Chromogeometry - WildTrig: Intro to Rational Trigonometry

Explore spreads, dot products, and chromogeometry in linear algebra. Learn about vector operations, quadrance, perpendicularity, and the fascinating trilogy of blue, red, and green dot products.

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

Bases and Dimension for Integral Linear Spaces - Abstract Algebra Math Foundations

Explore spanning sets, bases, and dimensions in integral linear spaces. Learn convenient notations for vexels and discover a multiset-oriented approach to mathematical structures.

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

Integral Vectors and Matrices via Vexels and Maxels II - Data Structures Math Foundations

Explores integral vectors and matrices using vexels and maxels, extending the concept to cover the entire plane and its implications for linear algebra and analysis.

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

Euclid and the Failure of Prime Factorization for Z - Data Structures Math Foundations

Explore the failure of prime factorization for z, challenging Euclid's theorem and examining ancient Greek mathematical foundations through a modern lens.

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

Reciprocals, Powers of 10, and Euler's Totient Function II - Data Structures Math Foundations

Explore unit groups, Euler's totient function, and number theory concepts. Learn how to calculate repeated cycles for fractions using algebraic techniques and group theory principles.

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

Modular Arithmetic With Fermat and Euler - Data Structures in Mathematics Math Foundations

Explore Fermat's and Euler's theorems in modular arithmetic, learning to simplify calculations and solve problems like z mod 13 through practical examples and applications.

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

Back to Gauss and Modular Arithmetic - Data Structures in Mathematics Math Foundations

Explore modular arithmetic and its applications in number theory. Learn about congruences, divisibility, and efficient calculation of remainders without long division.

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

Astronomy and Trigonometry in India - Math History

Explore ancient Indian contributions to astronomy and trigonometry, including Brahma Gupta's work and the development of sign tables, in this insightful mathematical history lecture.

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