Assignments
Main Page Assignments Imaginary Numbers Class Webpage

Original Geogebra Applets

Conic Sections
Rectangular and Polar Coordinates
Exploring Volumes of Cylinders, Spheres, and Cones
Upper and Lower Sums
Sine Applet
Normal Approximation to the Binomial
Mandelbrot Set Animation (Something New)
Complex Numbers and Julia Sets (Original GeoGebra Applet)

Applet Links

Applet TitleApplet Description
Arithmetic Operations with Complex NumbersAddition, subtraction, multiplication, and division with complex numbers.
Julia Sets Visual representation of graphing Julia Sets.
Fractal Simulator Create your own fractals.
Euler's Formula AppletGraphical representation of Euler's Formula.
Straight Line Graph"Explore the Properties of a Straight Line Graph."

Collection TitleCollection Description
Rossman/Chance Applet CollectionStatistics applets involving data analysis, probability, statistical inference, and more.
Math, Physics, and Engineering AppletsApplets involving oscillations and waves, acoustics, signal processing, electricity and magnetism, and more.
Fowler's Physics AppletsPlatonics solids, the pathagorean theorem, nuclear chain reaction, and more.
Math InteractivesA collection of applets imbeded in various mathematical lessons.
Primary School Mathematics CollectionCollection of mathematical applets from GeoGebra.


Resources

ResourceTitleAddress
PodcastImaginary Numbershttps://www.bbc.co.uk/programmes/b00tt6b2
AppletJulia Setshttp://www.shodor.org/interactivate/activities/JuliaSets/
AppletArithmetic Operations with Complex Numbershttp://www.walter-fendt.de/html5/men/complexnumbers_en.htm
AppletEuler's Formulahttps://www.falstad.com/euler/
VideoImaginary Numbers Are Real Playlist [Parts 1-13]https://www.youtube.com/playlist?list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF
VideoFundamental Theorem of Algebra - Numberphilehttps://www.youtube.com/watch?v=shEk8sz1oOw&t=3s
VideoComplex Numbers are Awesomehttps://www.youtube.com/watch?v=-IJuqR6nz_Q&t=57s
VideoImaginary Numbers - Sixty Symbolshttps://www.youtube.com/watch?v=EIstpPXKWng
PodcastComplex Numbershttp://podbay.fm/show/172563029/e/1214768939
AppletMultiply Complex Numbershttps://www.geogebra.org/m/Th8DAT9U
AppletImaginary Numbers Large Exponentshttps://www.geogebra.org/m/KaQ4Wu4A

References

Andreescu, T., & Andrica, D. (2014). Complex numbers from A to ... Z. New York: Birkhäuser.

Anthony A. Harkin & Joseph B. Harkin (2004) Geometry of Generalized Complex Numbers, 
	
	Mathematics Magazine, 77:2, 118-129, DOI:10.1080/0025570X.2004.11953236

Antonov, A. A. (2014). Correction of the special theory of relativity: Physical reality and nature of 

	imaginary and complex numbers. American Journal of Scientific and Industrial Research, 1-13. 

	doi:10.5251/ajsir.2014.5.2.40.52
	
Bak J., Newman D.J. (2010) The Complex Numbers. In: Complex Analysis. Undergraduate Texts in Mathematics. 

	Springer, New York, NY. DOI:https://doi.org/10.1007/978-1-4419-7288-0_1

Deaux, R. (2013). Introduction to the Geometry of Complex Numbers. 
	
	Dover Publications.

Flannery, S. (2002). In Code: A young Woman's Mathematical Journey. Chapel Hill, NC: 

	Algonquin Books of Chapel Hill.

Freiberger, M., & Thomas, R. (2016). Math Squared: 100 Concepts You Should Know. New York, NY: 

	Metro Books.

Frenkel, E. (2013). Love \& Math: The Heart of Hidden Reality. New York, NY: Basic Books.

Frucht, W. (2000). Imaginary numbers: An anthology of marvelous mathematical stories, diversions, 
	
	poems, and musings. New York: John Wiley & Sons.

Gull, S., Lasenby, A. & Doran, C. Found Phys (1993) 23: 1175. https://doi.org/10.1007/BF01883676

Hibberd, J. (1979). Imaginary Numbers and "Humor": On Wedekind's "Frühlings Erwachen". 

	The Modern Language Review, 74(3), 633-647. doi:10.2307/3726709

McGregor, I., Nail, P. R., Marigold, D. C., & Kang, S.-J. (2005). Defensive pride and consensus: 

	strength in imaginary numbers. Journal of Personality and Social Psychology, 89(6), 978-996.

	http://dx.doi.org/10.1037/0022-3514.89.6.978

Nahin, P. J. (2016). An Imaginary Tale: The Story of the Square Root of Negative One 

	(Princeton Science Library (Book 42)). Princeton University Press.

Parker, M. (2015). Things to Make and Do in the Fourth Dimension: A Mathematician's Journey 

	Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More. 

	New York, NY: Farrar, Straus and Giroux.
	
Singh, S. (1997). Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem

	(Anchor Books ed.). New York, NY: Anchor Books.
	
Trybulec, A. (2003). Subsets of Complex Numbers. Journal of Formalized Mathematics, 1-3.

VAN DEN DRIES, L., & GÜNAYDIN, A. (2006). THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL 

	MULTIPLICATIVE GROUP. Proceedings of the London Mathematical Society, 93(1), 43-81. 
	
	doi:10.1017/S0024611506015747