Insights into Mathematics Courses

Classical Spherical Trigonometry - Universal Hyperbolic Geometry

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Explore classical spherical trigonometry with Insights into Mathematics. Learn about spherical distance, circular functions, and key laws in a simplified, rigorous manner.

• YouTube
• 35 minutes
• On-Demand
• Free Online Course

Solving a System of Linear Equations - Wild Linear Algebra A

Dive into linear algebra with Assoc Prof N J Wildberger of UNSW. Learn to solve systems of linear equations, understand matrix forms, row reduction, and elementary row operations in under an hour.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Generalized Dilations and Eigenvalues - Wild Linear Algebra A - NJ Wildberger

Explore linear algebra with NJ Wildberger's 12th lecture, focusing on changing basis, defining similar matrices, and finding eigenvectors and eigenvalues. Less than 1-hour workload.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

Applications of 3x3 Matrices - Wild Linear Algebra A

Explore the applications of 3x3 matrices in linear transformations of 3D space, including dilations, reflections, and rotations, in this short lecture by Insights into Mathematics.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Inverting 3x3 Matrices - Wild Linear Algebra A | NJ Wildberger

Learn to invert 3x3 matrices with NJ Wildberger's 8th lecture in Linear Algebra series from Insights into Mathematics. Understand the determinant function in under 1 hour.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Three Dimensional Affine Geometry - Wild Linear Algebra A - NJ Wildberger

Explore 3D affine geometry with NJ Wildberger from Insights into Mathematics. Learn about space, parallel projection, and the distinction between points and vectors in under an hour.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

More Applications of 2x2 Matrices - Wild Linear Algebra A

Explore 2x2 matrices, their interpretation as linear transformations, rotations, reflections, and their connections with calculus in this short lecture by Insights into Mathematics.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

Change of Coordinates and Determinants - Wild Linear Algebra A

Explore the fundamentals of Linear Algebra with Insights into Mathematics. Learn about inverting coordinates, solving linear equations, and the connection between matrices and determinants in under an hour.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Area and Volume - Wild Linear Algebra A | NJ Wildberger

Explore area and volume in Linear Algebra with N J Wildberger from Insights into Mathematics. Learn about determinants, bi-vectors, and tri-vectors in under an hour.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

Center of Mass and Barycentric Coordinates - Wild Linear Algebra A

Explore applications of vectors, Newton's laws, and games to understand forces, velocity, and acceleration in this short lecture by Insights into Mathematics.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger

Explore the geometric approach to linear algebra with N J Wildberger's online lectures. Learn vector arithmetic, affine combinations, and apply these to solve geometry problems.

• YouTube
• 44 minutes
• On-Demand
• Free Online Course

Introduction to Linear Algebra - Wild Linear Algebra A 1 - NJ Wildberger

Explore a geometric approach to Linear Algebra with N J Wildberger from Insights into Mathematics. Ideal for first-year undergraduates, high school students, and teachers.

• YouTube
• 44 minutes
• On-Demand
• Free Online Course

Applications of Row Reduction - Gaussian Elimination I - Wild Linear Algebra A - NJ Wildberger

Learn to solve Linear Algebra's three main problems using Gaussian elimination in less than an hour with Assoc Prof N J Wildberger from Insights into Mathematics.

• YouTube
• 42 minutes
• On-Demand
• Free Online Course

Linear Algebra With Polynomials - Wild Linear Algebra A

Explore the application of linear algebra to polynomials, including interpolation and regression, with Insights into Mathematics. This short study requires less than an hour.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

The Geometry of a System of Linear Equations - Wild Linear Algebra A

Explore the geometry of linear equations with Insights into Mathematics. This 1-2 hour study offers a unique approach to linear algebra, blending traditional methods with modern computer science concepts.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Online Course