Lectures related to Spherical cap

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Rotations: Fixed Points and Spherical Coordinates

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Cylindrical and Spherical Coordinates, Rotations

Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.

Surface Tension and Wetting: Solid/Liquid/Gas Interfaces

Explores surface tension, wetting, and the law of Laplace at interfaces.

Center of Mass Calculation in Mechanics

Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.

Geometric Constraints

Explores how to handle mechanical problems with geometric constraints and associated forces.

Coordinate Systems: Cylindrical, Spherical, Rotations

Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.

Advanced Analysis II: Laplacian and Coordinates

Covers the Laplacian operator in different coordinate systems and its applications in differential equations.

Triple Integrals: Properties and Calculations

Covers the definition of triple integrals, properties, and calculation methods.

Rotating Vectors in Physics 1

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

Cinématique: coordonnées sphériques

Covers kinematics and spherical coordinates, including position, velocity, and acceleration.

Center of Gravity and Variable Change

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.

Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Lens Surfaces and Image Formation

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

Coordinate Systems and Rotations

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Stokes Formula: Streamfunction in Spherical Geometry

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

Learning Sparse Features: Overfitting in Neural Networks

Discusses how learning sparse features can lead to overfitting in neural networks despite empirical evidence of generalization.

Circular motion: Friction and Newton's Laws

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

Coordinate Systems: Polar, Cylindrical, and Spherical

Explains polar, cylindrical, and spherical coordinates in physics, emphasizing their advantages in simplifying motion analysis.

Electric Field Calculation: Charged Half-Sphere

Explores the calculation of electric fields from a charged half-sphere, emphasizing symmetry considerations and efficient problem-solving techniques.