Concise Modular Calculus 88 97

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

Explains what

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

(3/4 on Differentiation of Multivariable Functions) Explains directional derivatives as derivatives in the direction of a given vector.

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

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

Defines and computes tangent planes. Uses linear approximation to perform error analysis. Defines differentiability for ...

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

1/5 on Vector

Justifies the line integral as the tool to compute the work done when traveling through a (force) field. Discusses the scalar line ...

Congruence in a Modular Arithmetic System