Example of a System of Coordinates in 3-D
Distance between Two Points in Three Dimensions
Laboratory on Distances
Slope of a Line Segment between Two Points in Three Dimensions
Laboratory on Slopes and Distances

Definition Functions of Two Variables
Laboratory on Functions of Two Variables

Representations of Functions in Three Dimensions
Laboratory on Function Representations

Definition
Movement on Planes and the Associated Change in Height
Planes and Slopes in Various Directions
Laboratory on Directional Slopes and Planes

Definition of Partial Derivatives
Laboratory on the Definition of Derivatives
Approximating Partial Derivatives
Approximating Partial Derivatives with Tables
Approximating Partial Derivatives with Contours
Laboratory on Approximating Derivatives
Partial Derivative with Respect to x
Partial Derivative with Respect to y
Laboratory on Derivatives and Cross Sections
Review of a second order derivatives with functions of one variable
The Second Order Derivative f_xx (x, y)
The Second Order Derivative f_yy (x, y)
The Second Order Derivative f_xy (x, y)
Laboratory on Second Order Derivatives

Introduction to the Tangent Plane
Finding the Tangent Plane
Differentials
Laboratory on Differentials and the Tangent Plane
Directional Derivatives
Laboratory on Directional Derivatives and the Tangent Plane

Definition of the Integral
Introduction of Approximating Integrals with Riemann Sums
Various Rules for Riemann Sums in 3D
Volumes Using Lower Left Corner for Height
Volumes Using the Midpoint for Height
Riemann Sums Laboratory
Sums to Integral Laboratory
Identifying Volumes Associated with Double Integrals
Laboratory on Volumes and Double Integrals
Identifying Volumes Associated with Triple Integrals

Definition of Cylindrical Coordinates
Laboratory on Regions and Volumes in Cilindrical Coordinates
Volumes Associated with Integrals in Cylindrical Coordinates
Laboratory on Integrals in Polar and Cylindrical Coordinates

Definition of Spherical Coordinates
Laboratory on Regions and Volumes in Spherical Coordinates
Volumes Associated with Integrals in Spherical Coordinates
Laboratory on Spherical Volumes