Spectrum of Hyperbolic Surfaces

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Hyperbolic Geometry

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

General Physics: Mechanics

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Riemannian distance, geodesically convex sets

Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

Circular motion: Friction and Newton's Laws

Explores circular motion, friction, and Newton's laws in various coordinate systems.

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.

Polar Coordinates: Jacobian Matrix and Examples

Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.

Kinematics: Position, Velocity, Acceleration

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Rotating Vectors in Physics 1

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.