Advanced Calculus & Analytical Geometry

Table of Content

3-Dimensional Coordinate System Points Lines o Lines parallel to axes o General Lines  Planes o Planes parallel to coordinate planes o General planes Curves o Curves with one fixed variable  o General Curves	Vector The dot product o Vector projection o Angle Between Planes The cross product o Area of parallelogram o Volume of Parallelepiped Motion in Space Tangent & Normal Vectors in Motion	Surfaces Cylinders Quadric Surfaces o Ellipsoid o Elliptical paraboloid o Hyperbolic paraboloid o Hyperboloid of one sheet o Hyperboloid of two sheets o Elliptical cones
Measurements ·         Distance between two points ·         Distance from a point to a line ·         Distance from a point to a plane ·         Length of a curve	Intersection ·         Intersection of line and plane ·         Intersection of planes	Functions of Several Variables Domain & Range Level Curve Level Surface