Abstract:
In this mini-course participants will learn how to use mapping diagrams
(MD) to visualize functions for many calculus concepts. For a given
function, f, a mapping diagram is basically a visualization of a
function table that can be made dynamic with current technology. The MD
represents x and f(x) from the table as points on parallel
axes and arrows between the points indicate the function relation. The
course will start with an overview of MD’s and then connect MD's to key
calculus definitions and theory including: linearity, limits,
derivatives, integrals, and series. Participants will learn how to use
MD’s to visualize concepts, results and proofs not easily realized with
graphs for both single and multi-variable calculus. Participants are
encouraged to bring a laptop with wireless capability.