Educational resources for self-learners
Linear Combinations, Span & Basis | Essence of Linear Algebra, Chapter 4
This lecture from 3Blue1Brown visually explains the core concepts of linear combinations, span, and basis in the context of vectors and geometry. It's part of a highly acclaimed series that builds intuition for linear algebra, making it ideal for students with a school math background interested in programming, product design, and computational thinking.
Astro Boy (2009)
An animated film set in Metro City, where a grieving scientist creates a robot boy with incredible powers. The movie implicitly showcases advanced calculus, physics, and spatial reasoning, relevant to robotics, city design, and the application of mathematical modeling and geometry in a futuristic context.
3D Vectors – Introduction to 3D Vectors, Dot Product and Cross Product
This lecture covers 3D vectors, including their representation and visualization, dot product, and cross product. It includes basic vector operations (addition, subtraction) and explains geometric interpretations. Provides clear worked examples geared to high school and early college students, perfect for those with a school math background. Suits students interested in practical, visual applications (such as in product design, computer graphics, or startup prototyping).
Get AI-Powered Recommendations
Sign up to receive personalized resource recommendations based on your interests and learning goals.