All Classes and Courses

Guiding Principles for Systems Modeling and Simulation
(Study Group Sessions)

Archived Event | FREE

Learn modeling principles applicable to dynamic systems across diverse domains from Wolfram experts. This study group uses Wolfram System Modeler to create models of real-world systems and explore modeling fundamentals. Examples that range from simulating the spread of infectious diseases to predicting the cash flow dynamics of a subscription-based business and modeling the intricate behavior of drones are covered. The first two sessions provide an introduction to modeling with System Modeler and analyzing models with Wolfram Language. Each following session is devoted to learning about a different modeling principle.

Handling Uncertainties and Calibrating System Models with Wolfram Language

Archived Event | FREE

In this Wolfram System Modeler webinar, the recently added functionality to calibrate, validate and visualize uncertainty in system models will be presented. You will learn to calibrate parameter values to match simulation results with real-world data and to visualize the uncertainty of key outputs resulting from uncertainty in parameters, initial values or inputs. Examples such as a Hohmann transfer orbit, calibration of rates in a chemical reaction and a simplified loudspeaker are explored.

Hands-on Start to Mathematica

Video Lesson | FREE

Learn the basics of Mathematica and get started using it in your day-to-day work. This video will show you how to create and organize content in your notebook, use free-form input and Wolfram Language to enter calculations and generate graphics, define your own variables, create interactive models and modify examples in the live documentation. Topics are based on content from the book Hands-on Start to Wolfram Mathematica and Programming with the Wolfram Language, which is available in paperback and on Kindle. This video class requires no prior experience with Mathematica or Wolfram Language.

Hands-on Start to Wolfram|Alpha Notebook Edition

Video Lesson | FREE

Learn the basics of using Wolfram|Alpha Notebook Edition—use free-form input to enter math and science calculations, create interactive notebooks, calculate problems numerically or symbolically and see step-by-step solutions, assign variables and define functions, create 2D and 3D graphics and make them interactive, and turn your notebook into a dynamic presentation. Topics are based on content from the book Hands-on Start to Wolfram|Alpha Notebook Edition. Explore these topics in more detail with the free online Hands-on Start to Wolfram|Alpha Notebook Edition training tutorials. This content requires no prior experience with Wolfram Notebooks or Wolfram|Alpha Notebook Edition.

Hour of Code with Wolfram

Archived Event | FREE

Wolfram U is hosting an Hour of Code during Computer Science Education Week. Invite someone you would like to introduce to the world of computation and AI and join Wolfram U instructors online for an hour of coding. No experience needed. We'll work together on a fun and guided exploration, using simple but powerful Wolfram Language functions. End the hour knowing you can use Wolfram Language creatively with AI to add a computational perspective to any topic.

How Happy Are People in My Country?

Interactive Course | FREE

Requirements: This course requires knowledge of common data visualisations (bar chart) and statistics (mean, median), as well as very basic spreadsheet skills.

Certification Levels: CompletionLevel 1

Happiness, like many other subjective measures, is difficult to define. But with careful assumptions, many governments and businesses can analyse subjective data and use it to improve future growth or the lives of their citizens. In this Computational Thinking module, you will learn how the assumptions are made and how data scientists analyse reliable sources of data, ultimately finding a measure of how happy people are in your country.

How to Connect Your Device to the Wolfram Language

Video Lesson | FREE

Learn to write a Wolfram Device Framework driver to collect and analyze sensor data and programmatically control actuators, motors and indicators with connected devices. Explore how to connect devices using a variety of tools, including LibraryLink, WSTP, J/Link and more. This class assumes some familiarity with the Wolfram Language and connected devices.

Hybrid Computing Quick Start

Video Lesson | FREE

One of the unique strengths of the Wolfram Language is its ability to take advantage of symbolic computation and exact numbers when solving numerical problems. This ability allows users to find the right answer in many cases where purely approximate methods would fail and opens up a world of powerful hybrid symbolic-numeric methods. In this class you'll get a look under the hood at some of the ways the numerics of the Wolfram Language benefit from its symbolics and how method selection is automatically inferred. The class is for those who have a basic familiarity with numeric and symbolic computation in the Wolfram Language.

Hypothesis Testing

Video Lesson | FREE

The Wolfram Language includes a framework for hypothesis testing. This class explores parametric and nonparametric tests of location, variance or scale, as well as distributional goodness of fit. This class assumes basic familiarity with the Wolfram Language and statistics concepts.

Image Processing and Analysis Quick Start

Video Lesson | FREE

This class introduces the highly optimized image processing tools and powerful functions available in the Wolfram Language for analyzing and manipulating image data. The class is for those who have an interest in learning how to use the Wolfram Language for image processing tasks. An introductory knowledge of the Wolfram Language and the field of image processing is recommended.

Input and Output in Notebooks: Automatic Numbering

Video Lesson | FREE

Notebooks can be formatted with automatic numbers, subitem numbers and subsubitem numbers, as well as with other types of cell tags. This video will show how to create and use different types of cell tagging, such as automatic numbering, marked formulas and figures, cell dingbats and cell frame labels. You can also create links and reference tagged cells within other text cells.

Integrated Control Systems Quick Start

Video Lesson | FREE

Requirements: Some experience with control systems is recommended for the course.

Explore the suite of control system tools available in Wolfram Language that can be used to do analysis, design and simulation of continuous- and discrete-time systems. Topics include the construction and manipulation of state-space and transfer-function models, system interconnections, frequency response plots, and controller design. Optimal control of an inverted pendulum, interactive pole placement, and Bode plot manipulation are among the examples.

Integrating System Modeler with Other Software and Hardware Tools

Video Lesson | FREE

Requirements: Some experience with System Modeler is recommended.

This video shows how to integrate models from System Modeler with different deployment options, such as FMI, TCP/IP and Arduino.

Integrating the Wolfram Data Framework

Video Lesson | FREE

Learn how to improve and extend your external data sources with the built-in data framework in the Wolfram Language. An overview of the framework's decade-long development history is provided, from the original Wolfram Language data functions to the launch of Wolfram|Alpha and the availability of the Wolfram Data Repository. Explore the extensive set of built-in entities, create lists from imported raw data, build datasets, visualize data and learn how to integrate the computational power of the Wolfram Language into your projects.

Interacting with Blockchains

Video Lesson | FREE

This recorded livecoding session showcases features and functions available in Wolfram Language for reading and writing data to blockchains.

Introduction to Calculus

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or Wolfram Language. Prerequisites for calculus are trigonometry or precalculus.

Certification Levels: CompletionLevel 1

This course provides a comprehensive introduction to fundamental concepts in calculus and their applications, covering all of Calculus 1 and some of Calculus 2. The course starts with functions and limits, followed by differential calculus, and then moves on to integral calculus and a brief discussion of differential equations. It includes a sample exam based on the AP Calculus AB course. Problem sessions, exercises and auto-graded quizzes are provided for self-paced assessment. Earn a certificate by watching all lesson and problem session videos and completing the quizzes with a passing grade.

Introduction to Complex Analysis

Interactive Course | FREE

Requirements: This course requires proficiency with elementary algebra, single-variable calculus and some multivariable calculus.

Certification Levels: Completion

This course gives a thorough introduction to complex analysis, the study of the algebra, geometry and calculus of complex numbers.

Introduction to Cryptography

Interactive Course | FREE

Requirements: This course requires a basic understanding of number theory, algorithms, discrete mathematics and modular arithmetic and basic-level skills in any programming language.

Certification Levels: Completion

This course gives an introduction to the concepts, underlying math, principles and techniques of historic and modern cryptography; ties cryptographic protocols to real-world scenarios; and gives a necessary understanding of issues related to information security in general.

Introduction to Differential Equations

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or the Wolfram Language. Prerequisites for differential equations include calculus and linear algebra.

Certification Levels: CompletionLevel 1

A comprehensive introduction to fundamental concepts and solution methods for differential equations, including video lessons and interactive notebooks. Follow along with the examples in the Wolfram Cloud and use the material to prepare for courses in natural science, engineering, economics and other fields. The course starts with a discussion of direction fields and methods for solving first-order differential equations, followed by the study of second-order equations and their applications, and then moves on to solving systems of differential equations. Problem sessions, exercises and quizzes are provided for self-paced assessment. Earn a certificate by watching all lesson and problem session videos and completing the quizzes with a passing grade. Level I certification in Differential Equations is awarded to those who meet the completion requirements and also pass the course final exam.

Introduction to Discrete Mathematics

Interactive Course | FREE

Requirements: This course does not have any mathematical requirement. Anyone with minimal knowledge of Wolfram Language can excel. This course is aimed at beginners in both computer science and mathematics.

Certification Levels: CompletionLevel 1

Explore the realm of discrete mathematics, the study of countable things and the mathematical language of computer science. Get an introduction to notions of logic, discrete structures, counting, algorithms, proofs, recurrences and graphs.

Introduction to Elementary Algebra

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or Wolfram Language. Prerequisites for learning algebra are understanding basic math skills and fluency with basic math operations.

Certification Levels: CompletionLevel 1

Elementary algebra is a prerequisite for multiple mathematics and statistics courses, and a strong foundation in algebra can help you better understand more advanced math. This course introduces the basic concepts of algebra as well as common types of problems and how to solve them. Start with algebraic definitions and then move on to linear equations, linear inequalities, polynomials and quadratic equations. The instructor also discusses word problem examples in each section and walks through the steps to finding a solution.

Introduction to Fractional Calculus

Video Course | FREE

Learn about computing fractional derivatives and using the popular Laplace transform technique to solve systems of linear fractional differential equations using Wolfram Language. The first video describes the basics of fractional calculus, defines some of the common differintegrals and introduces the built-in FractionalD and CaputoD functions. The second video focuses on using LaplaceTransform and InverseLaplaceTransform to convert from time domain to frequency domain and back again. It also demonstrates how you can combine the Laplace transform with MittagLefflerE functions and CaputoD derivatives. The final video provides more background on fractional calculus and its uses and showcases demonstrative examples of both single fractional differential equations and systems of linear fractional differential equations.

Introduction to Graphics Rendering and Shading

Video Lesson | FREE

This video covers graphics objects and includes topics such as the basics of rendering, realistic 2D and 3D shading effects, artistic shading models and realistic shading with physically based rendering.

Introduction to Image Processing

Interactive Course | FREE

Requirements: This course requires basic working knowledge of the Wolfram Language.

Certification Levels: CompletionLevel 1

Make cutting-edge image processing simple with Wolfram Language. Learn the fundamentals of digital image processing, including image representation and classical operations on images. This course emphasizes practical applications and understandable explanations of how image operations work. Numerous examples are included to illustrate standard applications.