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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:
Rumyana
,
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
Making New Year's resolutions for 2026
Neuberg's Theorem
Area Between Two Curves
Prism Drawn in 2-Point Perspective
Billard V5.2 and V6
Discover Resources
Pelan Pyramid cuboid base
T7ss
Isoseles and 30-60-90 triangle
Simple Harmonic Motion
Transformations, Transversals, and Proof: IM Geo.1.20
Discover Topics
Logarithmic Functions
Step Functions
Vectors
Similarity Transformation or Similarity
Curve Sketching