Lectures related to Conic Synthesis in the Plane

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

Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.

Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.

Explores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.