Concise Modular Calculus 89 97

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

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

Explains what

Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.

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

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

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 ...

Derives Green's Theorem as a two-dimensional version of Stokes' Theorem. Shows how Green's Theorem enables us to use line ...