Visualizing Calculus with Mapping Diagrams. MEI 2019
- Author:
- Martin Flashman
- Topic:
- Calculus, Diagrams, Function Graph
Visualizing Calculus with Mapping Diagrams: Making Sense of Differentiation and Integration
Understanding differentiation and integration are important challenges of the calculus. Mapping diagrams – frequently coupled with tables – are a valuable alternative to graphs for visualising these concepts. We will start with the basics of mapping diagrams to visualise linear functions, the differential, the chain rule, and solving differential equations. Using GeoGebra, we will then explore mapping diagrams for integration theory and practice to make sense of the Fundamental Theorems of Calculus.
