Mathematics Video Study Plans & Proof Locators

Currently cataloging 21 Mathematics video roadmaps covering Mathematical Foundations: Linear Algebra & Calculus, Covectors, Dual Spaces, and Tensor Basics, The Metric Tensor and Index Gymnastics, Covariant Derivatives and Christoffel Symbols, The Riemann Curvature Tensor and General Relativity. Latest path updated: "Tensor Calculus: Vectors to Riemann Curvature".

Rigorous mathematical education demands step-by-step visual proof tracking. This directory organizes university-level mathematics lectures—spanning linear algebra, multivariable calculus, differential equations, real analysis, and abstract algebra—into structured learning paths, study plans, and interactive course maps. Rather than scrubbing through continuous multi-hour recordings, locate exact blackboard moments where instructors solve Fourier transforms, prove fundamental theorems, or demonstrate complex eigenvector transformations. Designed for quantitative mastery, each roadmap maps foundational single-variable prerequisites directly to advanced analytical concepts, enabling instant retrieval of specific mathematical notation and problem-solving steps.