Mathematica 14 Essential Training

Course details

Get up and running with the skills required to perform advanced data analysis, matrix math, and machine learning tasks using the power of Mathematica 14. Join instructor Curt Frye as he introduces you to the basics of Mathematica, including how to create and manage notebooks; define calculations using built-in functions, variables, and user-created functions; store and summarize lists of data; perform matrix operations to solve systems of linear equations; and develop portable applications and visualizations. Along the way, Curt offers tips on applying machine learning techniques to perform network analysis and optimize complex tasks.

Learning objectives
Utilize Mathematica's core functionalities, including entering commands, managing notebooks, accessing help resources, and using the Demonstrations library.
Manipulate and analyze data effectively by performing operations on lists, calculating descriptive statistics, working with matrices, solving linear equations, and visualizing data with charts.
Create interactive and animated visualizations by developing Computable Document Format (CDF) files, manipulating input values for expressions, animating results, and deploying Wolfram Cloud applications.
Apply machine learning techniques to predict values, classify data, identify clusters, and select appropriate models for datasets.
Perform network analysis by graphing network data, creating random graphs, identifying communities and centrality measures, and analyzing cliques and reciprocal relationships within the network.

Concepts

0. Introduction

01 - Apply the power of Mathematica 14 to your analysis
02 - What you should know before starting

1. Introducing Mathematica

03 - Run Mathematica and enter commands
04 - Manage Mathematica notebooks
05 - Get help in Mathematica
06 - Browse the Demonstrations library

2. Surveying Mathematica Commands

07 - Introducing mathematical operators
08 - Refer to previous calculations
09 - Assign values to variables
10 - Import and export data
11 - Calculate values using built-in functions and variables
12 - Create advanced formulas using the Math Assistant
13 - Send a result to Wolfram Alpha

3. Manipulating Lists

14 - Create a list
15 - Refer to and edit list items
16 - Add and delete list items
17 - Count and summarize list items
18 - Sort and reorder lists
19 - Identify the first or last item in a list
20 - Select list items by rule
21 - Delete duplicate list items
22 - Join multiple lists into a single list

4. Analyzing Data Using Descriptive Statistics

23 - Find the mean, median, and most common value
24 - Calculate variance and standard deviation
25 - Identify data quartiles
26 - Calculate the interquartile range
27 - Find the covariance of two sets of values
28 - Calculate the correlation of two datasets

5. Manipulating Matrices

29 - Define vectors and matrices
30 - Add, subtract, and multiply matrices
31 - Generate useful matrices
32 - Transpose and invert matrices
33 - Perform element-wise calculations
34 - Refer to and edit matrix items
35 - Convert a matrix to a list

6. Managing Executable Mathematica Scripts

36 - Suppress output in a notebook
37 - Define a function
38 - Add comments to a Mathematica script
39 - Debug your Mathematica code

7. Visualizing and Formatting Data

40 - Create a bar chart
41 - Summarize data using a histogram
42 - Create a scatter plot
43 - Create a paired bar chart
44 - Set chart options
45 - Chart function output

8. Creating Interactive and Animated Visualizations

46 - Create a Computable Document Format (CDF) file
47 - Manipulate a single input value for an expression
48 - Manipulate two or more input values for an expression
49 - Animate the results of an expression
50 - Analyzing data using Mathematica Online

9. Applying Machine Learning Techniques

51 - Predict values based on training data
52 - Classify members of a dataset
53 - Evaluate a classification function
54 - Identify and classify data clusters

10. Performing Network Analysis

55 - Create a random graph
56 - Graph network data
57 - Find and highlight graph communities
58 - Summarize graph vertices and edges
59 - Calculate degree centrality and closeness centrality
60 - Calculate betweenness centrality
61 - Identify cliques and reciprocal relationships

11. Performing Optimization Analysis

62 - Solve a system of equations
63 - Optimize linear programming problems
64 - Analyze a Traveling Salesperson Problem

Conclusion

65 - Additional resources