Uploaded November 2022 | Updated September 2026, 2 weeks ago
Mathematica Essentials - the first PRO COURSE from Socratica
Buy here: socratica.com/courses/mathematica-essentials
๐๐ผ๐๐ ๐๐๐๐? snu.socratica.com/mathematica
To be notified of when our first Pro Course "Mathematica Essentials" is available, join our mailing list at: snu.socratica.com/mathematica
In this video, we introduce modular arithmetic and how it can be visualized as "circular arithmetic" or "clock arithmetic." Mathematica has many built-in functions that help you do modular arithmetic, including the Mod function, the PowerMod function, the ModularInverse function, and many more. We show several examples to help you get started.
Thank you to our VIP Patreon Members who helped make this video possible! Robert Fulbright, Marko Popovic, Scott Dreblow, Marcos Silveira, Christopher Kemsley, Philip Rice, Eric Eccleston, Jeremy Shimanek, Michael Shebanow, Kavon Johnson, Alvin Khaled, Kevin B, John Krawiec, Umar Khan, MdeG, Carlos Araujo, and Tracy Karin Prell.
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MATHEMATICA ESSENTIALS by Socratica
Modular Arithmetic
0:00 Intro to Modular Arithmetic
2:17 Mod function
3:21 Number Theory/ Fermat's Little Theorem
3:43 Euler totient function
4:31 PowerMod function
5:41 ModularInverse function
6:34 Using Solve with modular equations
7:34 PolynomialMod function
7:46 PrimitiveRoot & PrimitiveRootList functions
7:58 EulerPhi
8:09 MultiplicativeOrder function
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We recommend the following (affiliate links):
The Wolfram Language
amzn.to/3D4jqvz
The Mythical Man Month - Essays on Software Engineering & Project Management
amzn.to/2tYdNeP
Innumeracy: Mathematical Illiteracy and Its Consequences
amzn.to/2ri1nf7
Mindset by Carol Dweck
amzn.to/2q9y8Nj
How to Be a Great Student (our first book!)
ebook: amzn.to/2Lh3XSP
Paperback: amzn.to/3t5jeH3
Kindle Unlimited: amzn.to/3atr8TJ
โทโทโท
If you find our work at Socratica valuable, please consider becoming our Patron on Patreon!
patreon.com/socratica
If you would prefer to make a one-time donation, you can also use
Socratica Paypal
paypal.me/socratica
โทโทโท
Written & Produced by Michael Harrison & Kimberly Hatch Harrison
Edited by Megi Shuke
About our Instructors:
Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.
Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor.
Michael and Kimberly Harrison co-founded Socratica.
Their mission? To create the education of the future.
โทโทโท
Welcome to Socratica! We make SMART videos focusing on STEM - science, math, programming. Subscribe here: bit.ly/SocraticaSubscribe
PLAYLISTS
Study Tips bit.ly/StudyTipsPlaylist
Python programming bit.ly/PythonSocratica
SQL programming bit.ly/SQL_Socratica
Chemistry bit.ly/Chemistry_Playlist
Abstract Algebra bit.ly/AbstractAlgebra
Astronomy bit.ly/AstronomySocratica
Biology bit.ly/BiologySocratica
Calculus bit.ly/CalculusSocratica
Geometry bit.ly/GeometrySocratica
Mathematica bit.ly/SocraticaMathematica
#Mathematica #Wolfram #WolframLanguage
Mathematica Essentials - the first PRO COURSE from Socratica
Buy here: socratica.com/courses/mathematica-essentials
๐๐ผ๐๐ ๐๐๐๐? snu.socratica.com/mathematica
To be notified of when our first Pro Course "Mathematica Essentials" is available, join our mailing list at: snu.socratica.com/mathematica
In this video, we introduce modular arithmetic and how it can be visualized as "circular arithmetic" or "clock arithmetic." Mathematica has many built-in functions that help you do modular arithmetic, including the Mod function, the PowerMod function, the ModularInverse function, and many more. We show several examples to help you get started.
Thank you to our VIP Patreon Members who helped make this video possible! Robert Fulbright, Marko Popovic, Scott Dreblow, Marcos Silveira, Christopher Kemsley, Philip Rice, Eric Eccleston, Jeremy Shimanek, Michael Shebanow, Kavon Johnson, Alvin Khaled, Kevin B, John Krawiec, Umar Khan, MdeG, Carlos Araujo, and Tracy Karin Prell.
โทโทโท
MATHEMATICA ESSENTIALS by Socratica
Modular Arithmetic
0:00 Intro to Modular Arithmetic
2:17 Mod function
3:21 Number Theory/ Fermat's Little Theorem
3:43 Euler totient function
4:31 PowerMod function
5:41 ModularInverse function
6:34 Using Solve with modular equations
7:34 PolynomialMod function
7:46 PrimitiveRoot & PrimitiveRootList functions
7:58 EulerPhi
8:09 MultiplicativeOrder function
โทโทโท
We recommend the following (affiliate links):
The Wolfram Language
amzn.to/3D4jqvz
The Mythical Man Month - Essays on Software Engineering & Project Management
amzn.to/2tYdNeP
Innumeracy: Mathematical Illiteracy and Its Consequences
amzn.to/2ri1nf7
Mindset by Carol Dweck
amzn.to/2q9y8Nj
How to Be a Great Student (our first book!)
ebook: amzn.to/2Lh3XSP
Paperback: amzn.to/3t5jeH3
Kindle Unlimited: amzn.to/3atr8TJ
โทโทโท
If you find our work at Socratica valuable, please consider becoming our Patron on Patreon!
patreon.com/socratica
If you would prefer to make a one-time donation, you can also use
Socratica Paypal
paypal.me/socratica
โทโทโท
Written & Produced by Michael Harrison & Kimberly Hatch Harrison
Edited by Megi Shuke
About our Instructors:
Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.
Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor.
Michael and Kimberly Harrison co-founded Socratica.
Their mission? To create the education of the future.
โทโทโท
Welcome to Socratica! We make SMART videos focusing on STEM - science, math, programming. Subscribe here: bit.ly/SocraticaSubscribe
PLAYLISTS
Study Tips bit.ly/StudyTipsPlaylist
Python programming bit.ly/PythonSocratica
SQL programming bit.ly/SQL_Socratica
Chemistry bit.ly/Chemistry_Playlist
Abstract Algebra bit.ly/AbstractAlgebra
Astronomy bit.ly/AstronomySocratica
Biology bit.ly/BiologySocratica
Calculus bit.ly/CalculusSocratica
Geometry bit.ly/GeometrySocratica
Mathematica bit.ly/SocraticaMathematica
#Mathematica #Wolfram #WolframLanguage
