HSU Mathematics Department Colloquium

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March 3, 2016

**Complex Variables: Mapping Diagrams for **

Visualizing Complex Arithmetic and Functions

Dynamically with GeoGebra

Martin Flashman

Professor of Mathematics

Humboldt State University

http://users.humboldt.edu/flashman/Presentations/MD.HSU.CV.3_3_16.html

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March 3, 2016

Visualizing Complex Arithmetic and Functions

Dynamically with GeoGebra

Part I Mapping Diagrams for Real Functions Complex Arithmetic |
Part IIComplex Functions | Part IIICalculus for Complex Functions |

Martin Flashman

Professor of Mathematics

Humboldt State University

http://users.humboldt.edu/flashman/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

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)**

AMATYC Webinar M Flashman Using Mapping Diagrams to Understand Trig Functions (YouTube)

Martin Flashman ...Solving Linear Equations Visualized with Mapping Diagrams (YouTube)

Martin Flashman ...Partial Derivatives: An Introduction Using Mapping Diagrams (You Tube)

Martin Flashman ...Solving Linear Equations Visualized with Mapping Diagrams (YouTube)

Martin Flashman ...Partial Derivatives: An Introduction Using Mapping Diagrams (You Tube)

A Reference and Resource Book on Function Visualizations Using Mapping Diagrams