Lectures related to Analytical Geometry: Circles and Tangents

Analytical Geometry: Tangents and Circles

Explores Cartesian equations of tangents, vector equations, and rules for doubling and duplication in circles.

Geometry of Hyperbolas and Ellipses

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Analytic Geometry x Hyperbola: Ellipse and Affinity

Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.

Analytical Geometry: Hyperbola and Ellipse

Covers the concepts of the hyperbola and ellipse in analytical geometry.

Analytical Geometry: Circles and Planes

Explores equations of circles, tangents, and planes in analytical geometry.

Analytical Geometry: Mixed Product and Determinant

Covers the analytical expression of the mixed product and its applications.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Analytical Geometry: Cross Product and Orientation

Explains the cross product in analytical geometry and vector orientation.

Geometry and Complex Numbers: Circles in the Complex Plane

Explores equations and properties of circles in the complex plane.

Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.

Distance Between Two Lines

Covers the concept of finding the distance between two lines in a plane.

Analytical Geometry: Lines Study

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

Geometry: Ellipse and Hyperbola

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Analytical Geometry: Equations of Planes in Space

Explains the geometric definition of planes in space and how to determine their equations.

Analytical Geometry: Vectors

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

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Scalar Products in 2D and 3D Geometry

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Decomposition of a Vector

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Analytical Geometry: Vectors and Operations

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.