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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:
SAVAŞ ORHAN
,
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
Angles and Intersecting Lines: Quick Investigation
Piano. Keyboard.
van Aubel's Theorem
Ellipse, Hyperbola and Circle as Envelopes
Cross Product in 2D and 3D
Discover Resources
Eigenschaften der Exponentialfunktion
Law of Sines
Ρολόι GeoGebra (Analog-Digital Clock)
rotations
Spiral curve
Discover Topics
Piecewise Functions
Centroid or Barycenter
Surface
Arithmetic Mean
Arithmetic