Concise Modular Calculus 86 97

Defines absolute extrema and solves optimization problems, including minimization of distances. All videos and slides for single ...

(1/3 on Multivariable Optimization) Explains that, at the location of a relative maximum or minimum, the gradient of a multivariable ...

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

Justifies the cross product as the appropriate tool to compute the force on a moving charge that travels in a magnetic field. Derives ...

Explains what

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 ...

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

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

Congruence in a Modular Arithmetic System