All Classes and Courses

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.

New in Wolfram 14.1 Webinar Series

Archived Event | FREE

Version 14.1 of Wolfram Language and Mathematica is here with the latest from our R&D pipeline. This series of five webinars showcases new tools for working with neural nets and LLMs, finding differences in content, working with images and videos and exploring scientific evaluations through biomolecules, astrophysics and more.

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.

Daily Study Group: Introduction to Complex Analysis

Study Group | FREE

Certification Levels: CompletionLevel 1

This Daily Study Group introduces you to the properties and applications of complex numbers and functions with the help of visualization and computation tools in Wolfram Language. The first three sessions cover the complex plane, complex numbers and analytic functions. Later sessions focus on complex integration, the residue theorem and applications. The lessons used in this Study Group are taken from the upcoming Wolfram U course Introduction to Complex Analysis.

Daily Study Group: Introduction to Laplace Transforms

Study Group | FREE

Certification Levels: CompletionLevel 1

This Daily Study Group introduces you to the Laplace transform, its properties and applications, making use of cutting-edge Wolfram Language functions that make Laplace transforms automatically and accurately computable. Early lessons explain the Laplace transform and its inverse, essential properties, methods for evaluation and numerical algorithms. Later lessons are dedicated to applications of the Laplace transform, as it is one of the main tools available for solving differential equations.

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.

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.

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 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.