Multivariable calculus: Graphs

Graphs #

Short interactive exercises on graphs and contour diagrams of functions of two variables, which we work through in class. Each one comes in three levels; pick the level you like, or work your way up. Every page checks your answers and can show a full answer key.

Matching graphs #

Match each function of two variables to its graph, a surface in 3-space. The graphs can be rotated by dragging. (Section 12.2)

intermediate   advanced   zen

Matching contour diagrams #

Match each function of two variables to its contour diagram, the level curves drawn in the \(xy\)-plane. (Section 12.3)

intermediate   advanced   zen