VECTORS
Vector Arithmetic
Vectors Dot Product
Vectors Cross Product
3D SPACE
The 3D Coordinate System
Equations of Lines
Equations of Planes
Quadratic Surfaces
Functions of Several Variables
Vector Functions in 3D Coordinates System
Vector Calculus in 3D Coordinates System
Tangent, Normal, and Binormal Vectors
Arc Length with Vector Functions
Curvatures in 2D and 3D Space
Velocity and Acceleration in Space
Cylindrical and Spherical Coordinate Systems
Integrals of Vector Functions
FUNCTIONS OF SEVERAL VARIABLES
PARTIAL DERIVATIVE
CHAIN RULE
DIRECTIONAL DERIVATIVES
IMPLICIT DIFFERENTIATION
EXTREMA IN 2 VARIABLES
ADVANCED TOPICS WITH EXTREMA IN 2 VARIABLES
CONSTRAINED EXTREMA
DOUBLE INTEGRALS IN POLAR COORDINATES
DOUBLE INTEGRALS, JACOBIAN