Lectures related to Center of Gravity: Barycenter

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Explores Fubini's theorem in multiple dimensions, demonstrating integration over rectangles and closed unit balls with practical examples.

Covers the construction of lattice models and the resolution of non-triangular systems.

Explores changing variables in double integrals through examples and curvilinear coordinates.

Explores geometric examples of triangles and functions, demonstrating the variation of x and y within defined ranges.