Lectures related to Spherical Coordinates: Determinant of Jacobi

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores changing coordinates, bijective functions, Jacobian matrices, and reciprocal functions in analysis.

Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.

Circular motion: Concepts and Calculations

Explores circular motion concepts, centripetal force, velocity, and acceleration in different coordinate systems, with a focus on auto racing and Formula 1 tire physics.

Coordinate Systems: Polar and Spherical

Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.

Coordinate Changes: Polar and Spherical

Explores differentiability and coordinate transformations between polar and spherical systems.