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Outline
Modeling with Complex Numbers
Introduction
Some History
Complex Numbers via Geometry
Basic Operations of Complex Numbers: What's My Rule?
Using Complex Numbers to Perform Transformations
Complex Number Self Checks!
Real-Valued Functions with Complex Roots
Modeling with Complex Numbers
Author:
Steve Phelps
Topic:
Complex Numbers
,
Numbers
This is a GeoGebraBook for the Summer 2015 MAT Math Modeling Class.
Table of Contents
Introduction
Nonagon Problem: Introduction
Some History
Impossible Quadratics
Friendly Cubics
Complex Numbers via Geometry
Complex Number Definition
Polar Form of a Complex Number
Basic Operations of Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Complex Numbers: What's My Rule?
Using Complex Numbers to Perform Transformations
Complex Numbers and Transformations
Complex Numbers and Transformations
Complex Numbers and Transformations
Complex Numbers and Transformations
Inversion
Inversion
Inversion
Complex Number Self Checks!
Activity 2
Real-Valued Functions with Complex Roots
Complex Roots and Quadriatic Graphs
Visualizing the Complex Roots of a Quadratic
Complex Roots and Cubic Graphs
Complex Roots and Quartic Graphs
Next
Nonagon Problem: Introduction
New Resources
Icosahedron1
Exploring the Derivative of a Quadratic Function
alg2_05_05_01_slider_practice_flvs
Poorly Drawn Parallelograms
Poorly Drawn Parallelograms 3
Discover Resources
Unit Circle and Tangent Graph
Quadratic Function: St. Louis
Find both missing sides 4
Conditional Visibility 1
Sketch 1A
Discover Topics
Constructions
Hypothesis Testing
Plane Figures or Shapes
Differential Calculus
Vectors 2D (Two-Dimensional)