Lectures related to Taylor Polynomial: Order 2

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Polar Coordinates: Position and Velocity

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

Harmonic Oscillations and Complex Exponentials

Explores harmonic oscillations, complex exponentials, and Taylor polynomials in oscillatory systems.

Kinematics: Position, Velocity, Acceleration

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

Coordinate Systems: Polar and Cylindrical

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