Concise Modular Calculus 96 97

4/5 on Vector

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

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 ...

(4/6 on Integration of Multivariable Functions) Justifies how the integration over regions other than boxes is accomplished with ...

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

Justifies one sided limits through "failure modes" for limits. Analyzes one sided limits and vertical asymptotes graphically and ...

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

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

1/5 on

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