Parametric Equations and Cartesian Coordinates

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Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

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

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

Covers the material point model, initial conditions, and Newton's laws in physics.

Explores parametric equations and their dependence on the choice of observation benchmarks.

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.

Covers the analysis of speed variation using differential equations and small time intervals.

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

Explores parametric equations in 2D coordinates and their geometric interpretations in different reference frames.

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