Geometry & Vector Calculus

An in depth look at the study of geometry and vector calculus. Review questions provided at the end of each chapter.

GEOMETRY (2D)

The General Equation of The Second Degree

General Conics, Contacts and Confocals

Polar Equation of a Conic


GEOMETRY (3D)

Systems of Co-ordinates

Direction Cosines And Projections

The Plane

The Straight Line

The Sphere

The Cone

The Cylinder

The Conicoids

The Paraboloids

Generating Lines

The Plane Sections of Conicoids

Reduction of General Equation of Second Degree


VECTORS

Differentiation and Integration of Vectors

Gradient, Divergence and Curl

Green's, Gauss's and Stoke's Theorems