Three Dimensional Coordinate Systems
Vectors Representation. Unit Vectors. Problem #37
Equations of Lines and Planes. Slides
Vector Functions. Some Problems
Motion in Space. Velocity and Acceleration
Chapter 14: Functions of two variables
Level Curves and Graph of a Function of Two Variables
Tangent Planes, Linear Approximations, Differentiability, and Differentials
Chain Rule. Implicit Differentiation
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values for Closed Regions
Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Area computation: 1D Integral and double Integral. Volume Computation: Double and triple integrals
Triple Integrals in Cylindrical Coordinates
Integration in spherical coordinates
Change of Variables for Multiple Integrals
The Fundamental Theorem of Line Integrals
Parametric Surfaces and Their Areas