Concise Modular Calculus 70 97

Explains how a parametric surface can be viewed as made up of parametric curves that are induced by a grid on the domain.

Explains how the graph of a multivariable function is analogous to the graph of a function of one variable. Shows how a ...

6/6 on Surfaces in 3-D Space) Visualizes the limiting behavior for functions of two variables. Explains how limits of multivariable ...

Introduces the standard equations of a plane (parametric, vector and scalar). Explains how to compute intersections between ...

Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ...

Explains what

Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ...

Explains limits at a point. Shows graphical, numerical and symbolic examples. Emphasizes computation that does not rely on ...

Justifies how a derivative can be found implicitly when we cannot solve for y. Computes tangent lines via implicit differentiation ...

(1/6 on Integration of Multivariable Functions) Explains that double integrals are a method to compute volumes under graphs of ...

2/2 on Change of Variables & Surface Area) Discusses the multivariable change of variable formula. Explains how to encode a ...

4/6 on Surfaces in 3-D Space) Shows visually how the name "conic section" comes about. Presents standard equations and ...