Concise Modular Calculus 63 97

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

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

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ...

Derives the scalar product as the appropriate tool to compute the work done by a constant force along a straight line of travel.

Explains what

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

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

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

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

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

Explains the standard equations (vector, parametric and symmetric) of a line in three-dimensional space. Exhibits situations in ...

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