Lectures related to Change of Coordinates: Notation and Examples

Analytical Geometry: Coordinates and Midpoints

Covers coordinates, midpoints, and abscissa in analytical geometry, providing practical problem-solving examples.

Coordinate Systems: Applications and Transformations

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

Solid Identification: Coordinates and Orientation

Covers the identification of a solid in space using 6 coordinates and the concept of undeformable solid bodies.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Polar Coordinates: Position and Velocity

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

Kinematics: Reference Frames and Coordinates

Introduces reference frames, coordinates, point mass, trajectory, velocity, acceleration, and motion with constant acceleration.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Rotating Vectors in Physics 1

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

Analytical Study of Space

Covers the analytical study of space, focusing on points, lines, and planes.

Motion Analysis: Cartesian and Polar Coordinates

Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.

Physics 1: Harmonic Oscillator and Spherical Coordinates

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

Kinematics: Position, Velocity, Acceleration

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

Coordinate Systems and Vectors

Covers the concept of coordinate systems, landmarks, and vectors in space.

Conic Sections: Ellipse and Hyperbola

Explores properties of conic sections, center, equations, and coordinate transformations.

Translations and Homotheties

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Christoffel Symbols and Gravity Before Einstein

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

Coordinate Vector Operations

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

General Physics: Mechanics

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

Advanced Analysis II: Derivatives and Notations

Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.

Multiple Integration: Spherical Coordinates

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