All Classes and Courses

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 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 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 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 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.

Introduction to Stochastic Processes for Finance Research and Trading

Interactive Course | FREE

Requirements: The course requires a basic understanding of both probability theory (in particular probability distributions) and linear algebra. This course requires minimal experience with Wolfram Language.

Certification Levels: Completion

Learn about modeling financial data with stochastic processes for quantitative research and trading from an expert in quantitative finance. Modeling stochastic processes helps you make sense of and predict outcomes in random data, such as stock prices.

Introduction to the Wolfram Quantum Computation Framework
(Study Group Sessions)

Archived Event | FREE

Follow these Daily Study Group sessions for an introduction to the Wolfram Quantum Computation Framework and how to use it in quantum computing. The foundation of the framework is a high-level symbolic expression representation of gates, unitaries, measurements, CPTP channels and so on. The framework is intuitive and flexible enough to model higher-order processes, such as quantum switches, using the several named states and operators built into the framework. Topics include basic concepts of quantum computation, including quantum states, transformations, algorithms, operators, gates, circuits and how to use Wolfram Language to run them on quantum hardware. You will learn how to simulate a quantum computer that operates based on the laws of quantum mechanics with Wolfram Language.

Mathematica and Wolfram Language for
Mathematics Research and Study (Study Group Sessions)

Archived Event | FREE

This Daily Study Group is designed especially for mathematics graduate students and research professionals but covers topics of interest to an even wider audience. This Study Group will help you make the most of the built-in functionality available in Wolfram Language for advanced studies and research in mathematics—from special functions and visualization to solving differential equations, as well as number theory, combinatorics, differential geometry and more. Participants are encouraged to prepare for this Study Group by attending a Hands-on Start to Mathematica training tutorial.

Mathematica for the Calculus Classroom

Video Lesson | FREE

Mathematica is the educational software standard for the first-year calculus classroom, allowing students to visualize concepts and develop skills essential for other STEM classes. This video demonstrates easy ways to integrate interactive activities, visualizations and other teaching tools into first-year calculus lessons with the use of Wolfram technologies. Learn how natural language input, a predictive interface and point-and-click palettes allow students to begin using Mathematica and the Wolfram Language without learning syntax.

Model Fitting and Analysis

Video Lesson | FREE

This class explores the built-in Wolfram Language framework for linear and nonlinear regression, logit, probit and generalized linear models, as well as optimization functions, linear algebra functions and a package for analysis of variance (ANOVA). The class assumes basic familiarity with the Wolfram Language and statistics concepts.

Modeling with Statistical Distributions

Video Lesson | FREE

The Wolfram Language has the largest collection of parametric and nonparametric distributions, supporting high-level functions for probability and statistics. This class demonstrates application of these functions for modeling and analysis in statistics. Presentation topics also include automated probability and statistics superfunctions, streamlined processes for parameter estimation and goodness-of-fit testing, working with built-in distributions or creating your own from data or other distributions, and statistical visualization functionality.

New in Wolfram Language 13.1 Webinar Series

Archived Event | FREE

Learn about what's new in the latest release of Wolfram Language in this three-part webinar series. The first session includes an overview of the latest functionality in Version 13.1 as well as a presentation on the new notebook toolbar and other front end improvements. The second webinar covers what's new in calculus and algebra, with a focus on fractional calculus. The third webinar in the series shares updates in machine learning, new video functions and the tree construct.

New in Wolfram Language 13.3 Webinar Series

Archived Event | FREE

There's a lot that's new in Version 13.3 of Wolfram Language and Mathematica, including a built-in subsystem around LLMs. Since the launch 35 years ago of Version 1.0, the long-term objective at Wolfram has always been to build a full-scale computational language that can represent everything computationally, in a way that’s effective for both computers and humans. This three-part webinar series features Chat Notebooks, LLMFunctions, math milestones, AR-VR publishing, interactive visualizations and system models for real-world data. Our experts show you ways in which our language has become a unique bridge between humans, AIs and computation.

Numerical Computing: Advanced Techniques

Video Lesson | FREE

Learn best practices for using advanced numeric functionality in the Wolfram Language. Topics include techniques for combining numeric functions, advanced numeric features and understanding precision and accuracy. This class is for those who have experience with Wolfram Language numeric functions and are ready for advanced control and customization features.

Problem Solving for Competitive Math

Video Lesson | FREE

In this video, learn about the principles used to solve typical problems from competitive math programs as well as the tools and functions available in Wolfram Language. Explore sample problems from the American Invitational Mathematics Examination (AIME), Program in Mathematics for Young Scientists (PROMYS) and Stanford University Mathematics Camp (SUMaC) programs.

Signals, Systems and Signal Processing

Interactive Course | FREE

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

Certification Levels: Completion

This course gives an introduction to the concepts, mathematics, principles and techniques of signal processing in linear, time-invariant (LTI) systems. The course covers analysis methods for both continuous-time and discrete-time signals and systems, presents sampling and gives an elementary introduction to filter design. Many everyday signal processing examples are included. The concepts and methods of signals and systems presented here play an important role in many areas of science and engineering, and therefore the course should be of interest to a broad range of students.

Solving ODEs and PDEs with Wolfram Language (Study Group Sessions)

Archived Event | FREE

This Daily Study Group covers techniques for solving ordinary differential equations (ODEs) and partial differential equations (PDEs) using Wolfram Language. It introduces the built-in function DSolve for finding symbolic solutions to differential equations and the built-in function NDSolve, a general numerical differential equation solver. Topics covered include the numerical method of lines, the finite element method (FEM), the use and construction of meshes, boundary value problems and eigenvalue problems.

Solving PDEs with Symbolics and Numerics

Video Course | FREE

This video course provides a thorough introduction to solving partial differential equations (PDEs) in the Wolfram Language both symbolically and numerically. You'll learn how to solve boundary value problems for classical PDEs and obtain solutions for the Schrödinger and other modern PDEs using the Wolfram Language function DSolve and its numerical counterpart NDSolve. You'll also discover how to solve PDEs over regions, find eigenvalues and eigenfunctions over regions with DEigensystem and NDEigensystem and use the latest Wolfram Language functionality to create better PDE models and gain a deeper understanding of your physics and engineering designs.

Statistical Analysis with Wolfram Language

Video Course | FREE

Analyze your data using a framework of model fitting and statistical analysis built into the Wolfram Language. Whether it is basic descriptive and exploratory statistics or advanced modeling with statistical distributions, you can follow this video course to gain an understanding of the statistical functionality available in the Wolfram Language. Topics covered include descriptive measures, transformations, basic clustering, statistical distributions, parameter estimation and hypothesis testing. Advanced topics on using optimization functions, linear algebra functions, analysis of variance (ANOVA) and generalized logit and probit linear models will also be explored.

Statistical Distributions

Video Lesson | FREE

The Wolfram Language includes extensive coverage for statistical distributions. This class explores the properties of derived distributions, probability distributions, mixture distributions and more. Other topics include random number generation and parameter estimation. This class assumes basic familiarity with the Wolfram Language and statistics concepts.

Symbolic and Numeric Computation

Video Course | FREE

This video course illuminates the powerful combination of symbolic and numeric computing available in the Wolfram Language. See how the numerical functions and methods in the Wolfram Language benefit from symbolic computation with exact numbers, where purely approximate methods may fail. Tips and techniques for using multiple numerical functions together, along with advanced numeric features, are included.

Topics in Artisanal Calculus (Study Group Sessions)

Archived Event | FREE

Explore lesser-known but incredibly useful topics in calculus. In this Daily Study Group on "artisanal" topics in calculus, learn about umbral calculus, Bell polynomials, the Euler–Maclaurin formula and fractional calculus. See how you can apply methods in calculus to the study of dynamical systems, minimal surfaces and even number theory.

Wavelet Analysis

Video Course | FREE

Understand your data better with wavelet analysis. These videos offer an in-depth introduction to wavelets, starting from basic concepts and continuing into advanced methods and uses. You'll learn the essentials of wavelet decomposition of signals—including different types of wavelet transforms, common algorithms, visualizations and interpretation of results—with a focus on general applications in signal processing and time series analysis. Examples are presented from financial analysis, edge detection, denoising of images, data compression and more.