Lectures related to Vector fields in cylindrical and spherical coordinates

Coordinate Systems: Polar, Cylindrical, Spherical

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

Electric Field Between Infinite Planes: Laplace Equation

Focuses on finding the electric field between infinite planes in electrostatics.

Electric Fields: Curl and Path Integrals, Spherical Coordinates Supplement

Explores the integration of electric fields along paths and solutions for constant and radial fields.

Surface Integrals: Change of Variables

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

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Coordinate Changes: Spherical System

Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.

Physics 1: Harmonic Oscillator and Spherical Coordinates

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

General Physics: Mechanics

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

Change of variables in spherical coordinates

Explores the change of variables in spherical coordinates, emphasizing mapping, invertibility, and Jacobian calculation.

Coordinate Systems: Transformations and Applications

Covers the transformation and application of coordinate systems, focusing on cylindrical coordinates and Jacobian matrix.

Laplacian in Polar and Spherical Coordinates: Derivatives

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

Electric Potential: Introduction and Calculation

Covers the concept of electric potential, its calculation from charges, and its relationship to the electric field.

Coordinate Systems: Polar and Cylindrical

Explores position, velocity, and acceleration in polar and cylindrical coordinate systems, simplifying complex formulas for motion analysis.

Linear Models: Ridge, OLS and LASSO

Covers linear models like Ridge, OLS, and LASSO, explaining singular values and regression analysis.