Mathematica Essentials: Intro & Overview (Wolfram Language) @Socratica
Mathematica Essentials: Intro & Overview (Wolfram Language)  @Socratica
Uploaded August 2021 | Updated September 2026, 2 weeks ago
Mathematica Essentials - the first PRO COURSE from Socratica
Buy here: socratica.com/courses/mathematica-essentials

๐™’๐˜ผ๐™‰๐™ ๐™ˆ๐™Š๐™๐™€? snu.socratica.com/mathematica

Do you think Mathematica is only for Math? Mathematica can be used in ANY computational field, including math, science, finance, data visualization, bioinformatics, speech recognition, machine learning...you name it! Mathematica started as a system for doing mathematics by computer, but it evolved into the WOLFRAM LANGUAGE, which can be used for all kinds of computation.

This is the FIRST episode of our new course on Mathematica.
Be sure to sign up for our course email group (infrequent but excellent updates and messages):
snu.socratica.com/mathematica

In future lessons, we will explore many of the applications to scientific fields. We will also cover the essential mathematical applications: solving equations, numerical methods, calculus, differential equations, linear algebra, modular arithmetic, and much more. While doing so, we will cover the essential features of the Wolfram Language, the language that lies at the heart of Mathematica, Wolfram | One, and other products from Wolfram.

This video is an overview - a tour of some of its capabilities, to give you a feel for the incredible power of this tool. You may be surprised by Mathematicaโ€™s flexibility and precision.

No prior programming experience is needed! Perfect for beginners.

Symbolic calculation is at the heart of Mathematica, and this video will help you start to feel comfortable with this kind of work. We will introduce just a handful of built-in functions, to illustrate how many diverse applications you can expect to find.

We will also touch on the Wolfram Knowledgebase and the Wolfram Language. Keep in mind, this is just a quick tour - many more detailed lessons to come!

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MATHEMATICA ESSENTIALS by Socratica
Intro to Mathematica
You can jump to sections in the video here:
0:00 What is Mathematica
0:37 Start with a notebook (input/output)
0:56 Numerical Calculations
1:44 Algebra (solving equations)
3:05 Calculus (definite & indefinite integrals)
4:39 Science in Mathematica (Wolfram Knowledgebase)
5:25 Computing with Entities (objects), entity properties
6:01 Using Autocomplete
6:38 More about Wolfram Knowledgebase
6:55 Audio, Images, & Video
8:38 More about Wolfram Language

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Some of the Mathematica functions introduced in this video:
Solve
Plot
Integrate
MoleculePlot
MoleculePlot3D
EntityList
EntityProperties
Import
AudioPlot
AudioLength
AudioSampleRate

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We recommend the following (affiliate links):
The Wolfram Language
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The Mythical Man Month - Essays on Software Engineering & Project Management
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Innumeracy: Mathematical Illiteracy and Its Consequences
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Mindset by Carol Dweck
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How to Be a Great Student (our first book!)
ebook: amzn.to/2Lh3XSP
Paperback: amzn.to/3t5jeH3
Kindle Unlimited: amzn.to/3atr8TJ

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Written and Produced by Michael Harrison and Kimberly Hatch Harrison

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.

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