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Stokes Formula: Streamfunction in Spherical Geometry

Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.

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.

3D Rotations and Quaternions

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Ball Rolling on Hemisphere

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Rotations: Kinetic Observations and Constraints

Explores empirical observations, kinetic energy, and constraints in rotations, including the generalization of forces and 3D rotations.

Surface of Revolution

Explains the parametric equations of surfaces of revolution generated by curves in space.

Lens Surfaces and Image Formation

Explains how to find the position and nature of images formed by lenses.

Quantum Chemistry: Lecture Series

Series covers spherical coordinates, harmonics, Legendre polynomials, and angular momentum.