Lectures related to Polar Survey: Step-by-Step Calculation

Polar Coordinates: Position and Velocity

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

Change of Variables Theorem

Explores the change of variables theorem and examples of polar coordinates.

Homogeneous Coordinates: Ellipse and Hyperbola

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Christoffel Symbols and Gravity Before Einstein

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

Parametric Equations: Benchmark of Observation

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

Analytical Geometry in Space: Chapter 8

Covers Chapter 8 on Analytical Geometry in Space, focusing on coordinate systems and equations of lines.

Translations and Homotheties

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

Analytical Geometry: Cartesian Equations of Planes

Explores Cartesian equations of planes in space and their applications to metric problems.