All Classes and Courses

Daily Study Group: Quantum Optics and Second Quantization

Study Group | FREE

Certification Levels: Completion

This Daily Study Group explores photonic second quantization, utilizing the Wolfram Quantum Framework and its functionalities for describing states and operators used in quantum optics. The lessons cover topics like quantization of the electromagnetic field, nonclassical states of light, atom-field interactions, decoherence and master equations. The majority of the content is of an educational nature, but research-oriented examples are also included.

Introduction to Laplace Transforms

Interactive Course | FREE

Requirements: This course requires knowledge of single-variable calculus and differential equations.

Certification Levels: CompletionLevel 1

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.

New in Wolfram 14.2 Webinar Series

Archived Event | FREE

See examples of how to incorporate chat with Wolfram Notebook Assistant into your workflow and get introduced to Tabular, a streamlined and efficient way to handle tables of data. Learn about new game theory functions, PDEs for magnetic systems and advances for doing algebra with symbolic arrays. The final session covers new functionality for video analysis and GPU capabilities.

Tour of PDE Modeling in Wolfram Language

Video Lesson | FREE

A guided tour of Wolfram finite element method (FEM) capabilities for geometric modeling and mesh generation as well as the latest PDE models for specific fields of physics. See examples for solving PDEs using NDSolve and related functions and visualizing and post-processing of results.

Data Science Is More than Just Statistics

Webinar | FREE

In this talk, we’ll explore how automation can be used to apply much more sophisticated computation to data in order to achieve deeper insights and derive more value from it.

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 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 Finite Mathematics

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or Wolfram Language. Prerequisites for finite mathematics include Algebra I (elementary algebra) and Algebra II (intermediate algebra).

Certification Levels: CompletionLevel 1

Finite mathematics has many real-world applications and is used in business, economics, social sciences and biology. The topics in this course are commonly found in college courses on finite mathematics.

Quantum Optimization (Study Group Sessions)

Archived Event | FREE

This Study Group introduces the fundamentals as well as state-of-the-art variational algorithms, quantum optimization and their applications. Learn how hybrid quantum-classical methods apply to optimization, numerical methods and quantum chemistry. Watch session recordings to explore the theory behind key algorithms and tackle standard and real-world problems.

A Guide to Mathematics with Wolfram Language

Video Course | FREE

Learn about using Wolfram Language for a broad range of mathematics. You can do symbolic, numeric and algebraic calculations, as well as geometry and calculus. These videos will introduce tools for solving and manipulating equations and calculations, including logical, Boolean and geometric expressions. Various built-in functions to help you solve polynomial and linear equations as well as number precision and order of interpolation are discussed. The videos cover common applied mathematics topics, such as matrices, linear algebra, optimization and numerical calculus. More advanced applications like time series calculations, image processing functionality and some data management are featured in later videos.

Asymptotics: The Art of Approximation

Video Lesson | FREE

This video class introduces asymptotics as an alternative to exact and numerical methods. The class opens with some historical notes and explains how asymptotic methods can be useful. Examples shown include applications for the solution of differential equations, integrals, difference and algebraic equations and the computation of sums of infinite series. Learn how to use the built-in asymptotic functions in the Wolfram Language to solve hard problems that cannot be solved exactly.

Bringing Math to Life through Visual Learning

Video Lesson | FREE

This video class demonstrates how to encourage critical thinking in the classroom with the use of Wolfram|Alpha and the Wolfram Demonstrations Project. No previous experience with Mathematica or the Wolfram Language is required.

Calculus Applications and Algorithms

Video Lesson | FREE

This class provides applications of calculus functions in the Wolfram Language and a discussion of the internal methods used for solving problems.

Calculus Concepts and Applications

Video Course | FREE

This video course begins with an overview of basic calculus operations and takes you on an exploration of Wolfram Language functions, including those used for computing integrals and solving differential equations. Learn from one of our symbolic computing experts about applications of calculus to real-world problems, gain insight into the technology underlying our built-in calculus functions, and find some interesting historical mathematical references as well as resources for further study. Allow the Wolfram Language to introduce you to—or help you to rediscover—some of the beauty and utility of calculus.

Calculus Fundamentals

Video Lesson | FREE

This class gives a broad overview of calculus operations in the Wolfram Language. Learn details about the functionality for computing integrals and solving differential equations, and become familiar with the Wolfram Language built-in functions Integrate and DSolve. See how animations and interactive graphics are useful for understanding concepts. This class is suitable for beginners wanting to use Mathematica and the Wolfram Language to solve calculus problems.

Cryptography in Wolfram Language

Archived Event | FREE

In this recorded, two-part livecoding series, Christopher Wolfram discusses some basic concepts of cryptography and shows how they are implemented as built-in functions in Wolfram Language. Encryption examples are given using both symmetric (private-key) and asymmetric (public-key) cryptography. You'll learn how symmetric and asymmetric keys differ from each other and the contexts in which one is preferred over the other. The use of different ciphers and hash code types is shown, with discussion of password and digital signature encryption use cases.

Daily Study Group: Introduction to Decision Process Theory

Study Group | FREE

Preview lessons from the upcoming Wolfram U course by Professor Gerald H. Thomas during this Daily Study Group. We'll use a decision process theory (DPT) toolkit based on Wolfram Language to prioritize conceptual understanding over mathematical equation solving, making concepts accessible not only to engineers but also to a more general audience, with applications to business, economics, project management and social behaviors.

Discrete Calculus Concepts and Applications

Video Lesson | FREE

This video gives a broad overview of discrete calculus functions in the Wolfram Language, along with applications to fractals, sequence recognition and the study of algorithms. This class requires no previous Wolfram Language experience.

Discrete Calculus with Wolfram Language

Video Course | FREE

This course discusses the basics, history and real-world applications of discrete calculus as well as associated Wolfram Language functionality.

Ecology and Environmental Science Modeling in Wolfram Language

Archived Event | FREE

This event offers a unique experience for students and educators keen on exploring the intersection of natural systems and computational modeling. It focuses on the foundational elements of complex systems within the realms of ecology and environmental science, making these advanced concepts accessible and engaging through a blend of theoretical and computational explorations.

Graphs and Networks: Concepts and Applications

Video Lesson | FREE

Graph theory and network analysis are used to model and analyze connections between entities in the real world—the World Wide Web, social networks and airline routes, just to name a few. The Wolfram Language provides a unified computational perspective from across multiple disciplines in the application of graphs and networks. This video class covers the fundamental properties of graphs and explores workflows available for network modeling and analysis.

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.

Introduction to Complex Analysis

Interactive Course | FREE

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

Certification Levels: CompletionLevel 1

This course provides a basic introduction to the properties and applications of complex numbers and functions with the help of visualization and computation tools in Wolfram Language. The course covers the elementary functions, the Cauchy–Riemann equations, complex integration, Cauchy's theorem and the residue theorem.