Mathematica 11 Essential Training

Course details

Learn how to analyze data using the Mathematica 11 environment and language. In this course, Curt Frye shows how to set up Mathematica notebooks, find help, assign values to variables, import data into Mathematica, and research your results using Wolfram|Alpha. He also explains how to create and manipulate lists, analyze data using descriptive statistics, perform matrix calculations, create and debug Mathematica scripts, and plot your data using the capabilities built into Mathematica 11. To wrap up, he demonstrates how to convert files into the Computable Document Format (CDF), add animation to make your results more interactive, and get started with the Wolfram Cloud.

Learning objectives
List the steps necessary to see what your notebook will look like when printed.
Recall why you would use the Basic Math Assistant in Mathematica when creating expressions.
Name the keyword used in conjunction with the Sort function to sort in descending order.
Explain how to create a matrix with two rows, three columns, and that has all elements assigned the value three.
Explain how to generate a histogram of a list of data stored in a list that is guaranteed to only display up to the maximum value of the list.
Recall the number of controls you can add to a Mathematica notebook using the Manipulate keyword.

Concepts

Introduction

Welcome
What you should know before watching this course
Using the exercise files

Introducing Mathematica 11

Run Mathematica and enter commands
Manage Mathematica notebooks
Get help in Mathematica
Browse the Demonstrations library

Surveying Basic Mathematica Commands

Introduce mathematical operators
Refer to previous calculations
Assign values to variables
Import and export data
Calculate values using built-in functions and variables
Create advanced formulas using the Math Assistant
Send a result to Wolfram Alpha

Manipulating Lists

Create a list
Refer to and edit list items
Add and delete list items
Count and summarize list items
Sort and reorder lists
Identify the first or last item in a list
Select list items by rule
Delete duplicate list items
Join multiple lists into a single list

Analyzing Data Using Descriptive Statistics

Find the mean, median, and commonest value
Calculate variance and standard deviation
Identify data quartiles
Calculate the interquartile range
Find the covariance of two sets of values
Calculate the correlation of two data sets

Manipulating Matrices

Define vectors and matrices
Add, subtract, and multiply matrices
Generate useful matrices
Transpose and invert matrices
Perform element-wise calculations
Refer to and edit matrix items
Convert a matrix to a list

Managing Executable Mathematica Scripts

Suppress output in a notebook
Define a function
Add comments to a Mathematica script
Debug your Mathematica code

Visualizing and Formatting Data

Create a bar chart
Summarize data using a histogram
Create a scatter plot
Create a paired bar chart
Set chart options
Plot function output

Creating Interactive and Animated Visualizations

Create a Computable Document Format (CDF) file
Manipulate a single input value for an expression
Manipulate two or more input values for an expression
Animate the results of an expression
Analyze data using Mathematica Online
Create a Wolfram Cloud app

Conclusion

Additional resources