In this lesson, Math Fortress prepares you for multivariable calculus by going over the basics of one-, two- and three-dimensional coordinate systems.

Math Fortress provides more visuals to help you conceptualize and compare two- and three-dimensional coordinate systems and introduces projections in 3D space.

In this lesson, Math Fortress walks you through five examples showing how to graph equations in R cubed, or three-dimensional space, of planes and cylinders.

In this lesson, Math Fortress shows how to adapt the Midpoint and Distance formulas to include the coordinate z in a three-dimensional Cartesian system.

See how to find the distance between points on a line, to check if points are collinear, and how to derive the equation of a sphere in three dimensions.

In this lesson, Math Fortress walks you through three slightly more challenging examples requiring the use of the Distance Formula in three dimensions.

In this lesson, Math Fortress guides you through three examples illustrating how to apply the equation of a sphere in a three-dimensional coordinate system.

In this lesson, walk through intermediate problems to explore spheres in the three-dimensional coordinate system using the radius, center, and tangent planes.

In this lesson, see how to work through two challenging examples that require the use of the equation of a sphere in a three-dimensional coordinate system.

In this final lesson on the three-dimensional Cartesian coordinate system, explore graphing equations restricted to a given interval and inequalities in 3D.