Complex numbers are defined around the number

Presentation by Matt Horn

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USES OF COMPLEX NUMBERS

DETAILED PRESENTATIONS

I know what a complex

number isAbstract

usesConcrete

uses

All uses

I don’t know what a complex

number isAbstract

usesConcrete

uses

All uses

WHAT IS A COMPLEX NUMBER?

WHAT IS A COMPLEX NUMBER?

• Complex numbers are defined around the number 1i

POLYNOMIAL EQUATIONS

POLYNOMIAL EQUATIONS

• Technically abstract use• Many things in real life can be

modeled with polynomials• Polynomials are equations with

to powers• Examples of polynomials:

x

3563 234 xxxx

32009 x

ELECTRICAL ENGINEERING

ELECTRICAL ENGINEERING

• Concrete use• Complex numbers sometimes used

to model vectors• Sometimes used just to simplify

work• As long as you don’t end up with 4i

of anything in the real world, you’re okay

SIGNAL PROCESSING

SIGNAL PROCESSING

• Concrete use• Processing sound, images, and

medical data

CONTROL THEORY

CONTROL THEORY

• Concrete use• Used to determine stability of a

dynamic system (i.e. populations of wildlife)

ELECTROMAGNETISM

ELECTROMAGNETISM

• Abstract use• Physics of electricity and

magnetism

QUANTUM MECHANICS

QUANTUM MECHANICS

• Technically concrete use• Schrodinger’s wave function

describes the behavior of electrons with i

CARTOGRAPHY

• Concrete use• Study of maps and mapmaking

VIBRATION ANALYSIS

• Concrete use• Study of vibration

AEROSPACE ENGINEERING

Concrete use Used to shape the airfoil of a plane

wing

BIBLIOGRAPHY

Facts• Wikipedia• Analog Devices

Images• University of New South Wales• The Bogdan Petriceicu Hasdeu National College in Romania• Thomas Jefferson National Accelerator Facility• Math Warehouse• University of Virginia• Rollins University• Wikimedia• Gregoriousthoughts.blogspot.com• University of Wisconsin• Neurodudes• CIMEC in Australia• Clip art

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