Lectures related to Spherical Coordinates: Integration and Change of Variables

Multiple Integrals: Change of Variables and Polar Coordinates

Covers multiple integrals, change of variables to polar coordinates, and area calculations.

Cylindrical and Spherical Coordinates

Covers the integration of functions of multiple variables using cylindrical and spherical coordinates.

Surface Integrals: Change of Variables

Explores surface integrals, change of variables, and properties of regular surfaces.

Methods of Integrating Functions

Covers methods of integrating functions of several variables and different coordinate systems.

Physics 1: Harmonic Oscillator and Spherical Coordinates

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

Center of Mass Calculation in Mechanics

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

Circular motion: Friction and Newton's Laws

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

Multiple Integration: Spherical Coordinates

Explains multiple integration using spherical coordinates to calculate volumes of spheres and ellipsoids.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Spherical Coordinates: Determinant of Jacobi

Covers spherical coordinates and the determinant of Jacobi in linear algebra.

Cinématique: coordonnées sphériques

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

Change of Variables: Examples

Explores examples of applying the change of variable formula to simplify integrals over different regions.

Coordinate Systems: Polar, Cylindrical, and Spherical

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

Gravity and Barycenter: Definitions and Applications

Explores the definitions and properties of gravity and barycenter, including bounded regions and coordinate transformations.

Coordinate Systems: Polar, Cylindrical, Spherical

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

Coordinate Systems: Cylindrical, Spherical, Rotations

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

Rotations: Fixed Points and Spherical Coordinates

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

Coordinate Transformations: Polar and Spherical Coordinates

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

Coordinate Systems: Cylindrical and Spherical

Covers cylindrical and spherical coordinate systems and their applications in 3D space.

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.