Lectures related to Cartesian coordinate system

Analytical Study of Lines in the Plane

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

Analytical Study of Plan: Points, Lines

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

Analytical Geometry: Lines Study

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

Linear Mapping Basics

Covers the basics of linear mapping and coordinate systems.

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Analytical Geometry: Cartesian Equations

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Coordinate Systems and Applications

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Complex Numbers: Polar Form

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Analytical Geometry in Space: Chapter 8

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

Analytical Geometry: Cartesian Equations of Planes

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

Advanced Physics I: Kinematics and Coordinate Systems

Explores advanced physics topics like kinematics in 3D, non-Cartesian coordinates, and practical examples of collisions and snowball fights.

Coordinate Vector Operations

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Quadratic Surfaces in 3D Space

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

Rotating Vectors in Physics 1

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Tensor Analysis: Coordinate Systems

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Coordinate Transformations in General Relativity

Covers exercises on coordinate transformations in general relativity, emphasizing conceptual understanding and straightforward calculations for the exam.

Advanced Physics I

Covers advanced topics in physics, focusing on demonstrations and directions related to proportional motion, circular movement, and coordinate systems.

Parametric Equations: Benchmark of Observation

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

Equations in Space: Cartesian Equations of Planes

Introduces Cartesian equations of planes in space and their parametric representations.