Lectures related to Coordinate Systems: Applications and Transformations

Covers the advanced analysis of functions in polar coordinates.

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 Change: Polar and Spherical Coordinates

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Coordinate Transformations: Polar and Spherical Coordinates

Covers examples of coordinate transformations, focusing on polar and spherical coordinates.

Analytical Mechanics: Lagrange Formalism

Covers the limitations of Lagrange formalism and the transition to Hamiltonian formalism for dynamic variables.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Coordinate Change: Chapter 4

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.