Concise Modular Calculus 62 97

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

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

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

Explains what

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

Explains how vectors are quantities with magnitude and direction. Justifies the component representation of vectors by showing ...

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 ...

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