All Classes and Courses

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 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.

Introduction to Laplace Transforms

Interactive Course | FREE

Requirements: Single Variable Calculus and Differential Equations courses

This course covers the theory and applications of the Laplace transform, one of the main tools available for solving differential equations. The topics in this free interactive course are commonly included in university applied mathematics and electrical engineering courses.

Introduction to Linear Algebra

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or the Wolfram Language. Prerequisites for linear algebra include algebra, elementary geometry and trigonometry.

Certification Levels: CompletionLevel 1

Get a comprehensive introduction to fundamental concepts in linear algebra with these video lessons and interactive notebooks. Follow along with the examples in the Wolfram Cloud and use the material to prepare for courses in data science, engineering and other fields. The course starts with linear equations and matrices, followed by determinants and eigenvalues, and then moves on to inner products and the singular value decomposition. Application sessions are included to show uses of linear algebra in the real world. Exercises and quizzes are provided for self-paced assessment.

Introduction to Machine Learning (Study Group Sessions)

Archived Event | FREE

Join our Daily Study Group to review the first six chapters of Etienne Bernard's book, Introduction to Machine Learning. A Wolfram U instructor guides each session by summarizing the chapter, walking through code examples, polling the group to review key concepts, working on selected exercises and answering questions. Participants are encouraged to read the book chapters before coming to each session.

Introduction to Mathematica for Students and Teachers

Video Course | FREE

Certification Levels: Level 1

This video course provides an introduction to Mathematica for students, teachers and beginners of all kinds. It quickly covers a wide range of topics from algebra to calculus using examples, all delivered from the viewpoint of a highly skilled and experienced classroom teacher. It starts with the concept of a computational notebook and builds step by step to more advanced topics such as plotting, graphics and solving equations. The course includes techniques for entering mathematical notation using your keyboard and palette buttons and finding help using the Wolfram Documentation Center. The course is recorded by Ruth Dover, a math instructor and Wolfram Innovator who has taught thousands of students how to use Mathematica and Wolfram Language over the course of her career.

Introduction to Multivariable Calculus

Interactive Course | FREE

Requirements: This course requires basic working knowledge of Mathematica or Wolfram Language. The prerequisite for multivariable calculus is single-variable calculus.

Certification Levels: CompletionLevel 1

This comprehensive multivariable calculus course uses state-of-the-art Wolfram Language functionality for the computation and visualization of concepts, making this elegant body of mathematical knowledge easy and fun to learn. Multivariable calculus extends the notions of limits, derivatives and integrals to higher dimensions.

Introduction to Neural Networks

Video Lesson | FREE

Learn about the properties of neural networks, their component layers, how to combine operations in a chain or graph container and how to train a network using the built-in functions of the Wolfram Language. See the use of encoders and decoders for automatically processing input and output to a network. Follow along step by step as we build a digit classifier from scratch, train a neural network and evaluate its performance.

Introduction to Notebooks

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or the Wolfram Language.

Certification Levels: Completion

Wolfram Notebooks have been widely adopted as the modern environment for technical workflows. In this course, you will be introduced to these powerful and interactive documents for computation, programming, generating reports and creating presentations. Learn how to style notebooks and create interactive interfaces using built-in Wolfram Language functionality. Generate immediate results with the natural language queries and reach your audience on multiple platforms with universal deployment options.

Introduction to Parallel Computation in the Wolfram Language

Video Lesson | FREE

This video provides an introduction to parallel computing functionality in the Wolfram Language. Learn how to get the most out of the computing kernels available to you and why you never have to choose between speed and accuracy. We will look at a few examples, discuss applications and learn possible ways to scale across available clusters or machines. The class is for those who have an interest in parallel computing with the Wolfram Language.

Introduction to Probability

Interactive Course | FREE

Requirements: This course requires basic working knowledge of Mathematica or Wolfram Language. Prerequisites for probability include Algebra I (elementary algebra) and Algebra II (intermediate algebra).

Certification Levels: CompletionLevel 1

Probability is the branch of mathematics that deals with random phenomena. Using real-world examples, this comprehensive introduction to probability and statistics can help prepare you for coursework and research in natural science, engineering, finance, medicine, data science and other fields. The course starts with a discussion of basic probability concepts, followed by the study of random variables as well as common probability distributions and their applications. These topics are typically found in basic probability courses and serve as great preparation for statistics, data science and the professional examination Exam P from the Society of Actuaries.

Introduction to Quantum Computing in Wolfram Language

Archived Event | FREE

This archived webinar shows a beginner's guide to quantum computing and the Wolfram Quantum Computation Framework. Learn about the basic principles of quantum mechanics and how it extends to the world of traditional computation.

Introduction to Statistics

Interactive Course | FREE

Requirements: This course requires basic working knowledge of Mathematica or Wolfram Language. Prerequisites for statistics include Algebra I (elementary algebra) and Algebra II (intermediate algebra).

Certification Levels: CompletionLevel 1

Statistics is the branch of mathematics concerned with collecting, describing, analyzing and interpreting data and trends in science, industry and society. This course introduces techniques for data visualization and descriptive statistics, methods for calculating confidence intervals and tools for hypothesis testing. Practical examples are used to demonstrate the application of statistical methods. The topics in this course are typically found in entry-level college statistics courses and serve as great preparation for the AP Statistics exam.