ArizMATYC Fall, 2018 Making Sense of Integration Visually
- Author:
- Martin Flashman
Making Sense of Integration Visually:
Mapping Diagrams for Calculus
Fall 2018 ArizMATYC Conference (Phoenix, AZ)
Friday October 5, 2018
Martin Flashman
Professor Emeritus of Mathematics
Humboldt State University
Links: http://flashman.neocities.org/Presentations/ArizMATYC.LINKS.html
Abstract:
Understanding and evaluating integrals are important challenges of the calculus. Mapping diagrams, frequently coupled with tables, are a valuable alternative to graphs for visualizing functions and integration. Professor Flashman will start with the basics of mapping diagrams to visualize linear functions, the differential, and Euler’s numerical method for solving differential equations, followed by a tour using GeoGebra through visualizations of integration theory and practice, concluding with visualizations to make sense of the Fundamental Theorems of Calculus.