Concise Modular Calculus 72 97

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

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

Reviews polar coordinates. Explains cylindrical and spherical coordinates and how to transform points and equations from these ...

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

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

Explains what

(4/6 on Integration of Multivariable Functions) Justifies how the integration over regions other than boxes is accomplished with ...

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

Defines sequences as, well, sequences of numbers. Explains how the limit of a sequence governs the sequence's long-term ...