Mapping Diagrams for Complex Variable Functions Visualized Dynamically with GeoGebra

HSU Mathematics Department Colloquium
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March 3, 2016
Complex Variables: Mapping Diagrams for
Visualizing Complex Arithmetic and Functions
Dynamically with GeoGebra

Part I
Mapping Diagrams for Real Functions
Complex Arithmetic

Part II
Complex Functions

Part III
Calculus for Complex Functions

Martin Flashman
Professor of Mathematics
Humboldt State University

http://flashman.neocities.org/Presentations/MD.HSU.CV.3_3_16.html

Abstract: Mapping diagrams provide a valuable tool for visualizing complex variable arithmetic and functions. Using GeoGebra, I will demonstrate with dynamic diagrams important properties of complex arithmetic and functions. Examples will include complex multiplication and division, linear and linear fractional functions, and some calculus concepts. No prior knowledge of complex arithmetic and functions will be presumed.
Background and References to other work on Mapping Diagrams for real variables ¤

References:¤

M. Flashman GeoGebra Book [in development]: Mapping Diagrams to Visualize Complex Analysis http://ggbtu.be/bNi69jyKs

AMATYC Webinar Martin Flashman - Using Mapping Diagrams to Understand Functions (YouTube)

Mapping Diagrams from A(lgebra) B(asics) to C(alculus) and D(ifferential) E(quation)s.
A Reference and Resource Book on Function Visualizations Using Mapping Diagrams

The Sensible Calculus Program