هندسة تحليلية - ANALYTIC GEOMETRY

This course introduces basic and preliminary subjects in Geometry such as Parametrizations of Plane Curves, Length of a Parametrically Defined Curve, Length of a Curve, Polar Coordinates, Relating Polar and Cartesian Coordinates, Conic Sections, Conics in Polar Coordinates, Vectors and the Geometry of Space, Three-Dimensional Coordinate Systems, Distance and Spheres in Space, Vector Algebra Operations, Midpoint of a Line Segment, The Dot Product, Perpendicular (Orthogonal) Vectors, Dot Product Properties and Vector Projections, The Cross Product of Two Vectors in Space, Calculating the Cross Product as a Determinant, Triple Scalar or Box Product, Lines and Planes in Space, Parametric Equations for a Line, An Equation for a Plane in Space, Lines of Intersection, Classification of General Quadratic Equation, Cylinders and Quadric Surfaces.