Concise Modular Calculus 91 97

1/2 on Change of Variables & Surface Area) Justifies the surface area formula for parametric surfaces. Computes, among other ...

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

Explains what

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

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

Explains how vector fields are the appropriate tool to describe the electric, magnetic and gravitational fields as well as flow fields.

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 ...

Explains how the central limit theorem governs the probabilistic behavior of sample averages of large enough samples. Shows ...

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 ...

1/5 on Vector

Explains how Stokes' Theorem is the mathematical manifestation of the observation that currents are surrounded by ...