- ArizMATYC/MAA Visualizing Linear and Nonlinear Functions
- Introduction
- What is a (real) mapping diagram (MD)? Further exploration.
- Some Historical Uses of (Real) Mapping Diagrams
- Visualizing Vector Valued Functions of a Single Variable
- Visualizing Real Valued Functions of 2 and 3 Variables
- Matrix Linear Transformations on R^2 and R^3
- Visualizing Transformations & functions f:R^2, R^3 ->R^2,R^3
- CONCLUSION
- References
ArizMATYC/MAA Visualizing Linear and Nonlinear Functions
- Author:
- Martin Flashman
- Topic:
- Diagrams
ArizMATYC/MAA Southwestern Section Joint Conference
April 1 - 2, 2022 at ASU Polytechnic Campus.
Visualizing Linear and Nonlinear Functions and Transformations of Several Variables with Mapping Diagrams
Martin Flashman
Cal Poly, Humboldt [Formerly Humboldt State University]
Arcata, CA
GeoGebra Book: https://flashman.tiny.us/ArizMATYC
GeoGebra Class: https://flashman.tiny.us/ClassArizMATYC2022
Mapping diagrams are an under appreciated visualization for functions. Professor Flashman will introduce mapping diagrams and demonstrate some of the power of this visualization for linear and nonlinear functions and transformations of several variables using GeoGebra.
Questions? Comments?
email: flashman@humboldt.edu
Table of Contents
Introduction
What is a (real) mapping diagram (MD)? Further exploration.
Some Historical Uses of (Real) Mapping Diagrams
Visualizing Vector Valued Functions of a Single Variable
Visualizing Real Valued Functions of 2 and 3 Variables
Matrix Linear Transformations on R^2 and R^3
Visualizing Transformations & functions f:R^2, R^3 ->R^2,R^3
CONCLUSION
References