# All Classes and Courses

## Find the resources you need to learn about computational fields and further your understanding of Wolfram technologies.

Click any button to browse all catalog resources in a particular area or use the filters to refine your search. The catalog includes free, self-paced, interactive courses, standalone video lessons, video courses and scheduled instructor-led courses as well as archived and special events. Learn about the different course types.

New in Wolfram 14.1 Webinar Series

##### 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.

###### Course Overview

- Video 187 minutes
- Video 289 minutes
- Video 383 minutes
- Video 489 minutes
- Video 587 minutes

Tour of PDE Modeling in Wolfram Language

##### 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.

Learn MoreDaily Study Group: An Elementary Introduction to Wolfram Language

##### Daily Study Group: An Elementary Introduction to Wolfram Language

###### Special Event | FREE

**Certification Levels:** CompletionLevel 1

Learn to use Wolfram Language and apply modern computational thinking with lessons from the interactive open course and the accompanying book by Stephen Wolfram, now in its third edition. Wolfram certified instructor Rory Foulger leads this group with assistance from Wolfram education programs staff.

Learn MoreDaily Study Group: Introduction to Complex Analysis

##### Daily Study Group: Introduction to Complex Analysis

###### Special Event | 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.

Learn MoreDiscrete Calculus with Wolfram Language

##### 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.

###### Course Overview

- Video 15 minutes
- Video 210 minutes
- Video 39 minutes
- Video 49 minutes
- Video 512 minutes
- Video 611 minutes
- Video 712 minutes
- Video 811 minutes
- Video 912 minutes
- Video 1019 minutes
- Video 1120 minutes
- Video 1213 minutes
- Video 1317 minutes
- Video 148 minutes
- Video 1513 minutes

Introduction to Finite Mathematics

##### 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.

###### Course Overview

- Section 111 minutes
- Section 248 minutes
- Section 342 minutes
- Section 455 minutes
- Section 552 minutes
- Section 634 minutes
- Section 763 minutes
- Section 839 minutes
- Section 941 minutes

A Guide to Mathematics with Wolfram Language

##### 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.

###### Course Overview

- Video 110 minutes
- Video 27 minutes
- Video 37 minutes
- Video 413 minutes
- Video 510 minutes
- Video 67 minutes
- Video 79 minutes
- Video 87 minutes
- Video 910 minutes
- Video 108 minutes
- Video 1110 minutes

Asymptotics: The Art of Approximation

##### 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.

Learn MoreBringing Math to Life through Visual Learning

##### 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.

Learn MoreCalculus Applications and Algorithms

##### 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.

Learn MoreCalculus Concepts and Applications

##### 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.

###### Course Overview

- Video 130 minutes
- Video 223 minutes

Calculus Fundamentals

##### 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.

Learn MoreCryptography in Wolfram Language

##### 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.

###### Course Overview

- Video 19 minutes
- Video 263 minutes

Discrete Calculus Concepts and Applications

##### 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.

Learn MoreEcology and Environmental Science Modeling in Wolfram Language

##### 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.

Learn MoreGraphs and Networks: Concepts and Applications

##### 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.

Learn MoreHybrid Computing Quick Start

##### 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.

Learn MoreHypothesis Testing

##### 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.

Learn MoreIntroduction to Calculus

##### 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.

###### Course Overview

- Section 185 minutes
- Section 252 minutes
- Section 355 minutes
- Section 450 minutes
- Section 579 minutes
- Section 656 minutes
- Section 748 minutes
- Section 835 minutes
- Section 944 minutes
- Section 1042 minutes
- Section 1138 minutes

Introduction to Cryptography

##### 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.

###### Course Overview

- Section 122 minutes
- Section 213 minutes
- Section 326 minutes
- Section 416 minutes
- Section 545 minutes
- Section 650 minutes
- Section 745 minutes
- Section 816 minutes

Introduction to Differential Equations

##### 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.

###### Course Overview

- Section 171 minutes
- Section 258 minutes
- Section 368 minutes
- Section 464 minutes
- Section 586 minutes
- Section 657 minutes
- Section 753 minutes
- Section 885 minutes

Introduction to Discrete Mathematics

##### 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.

###### Course Overview

- Section 15 minutes
- Section 236 minutes
- Section 333 minutes
- Section 420 minutes
- Section 538 minutes
- Section 629 minutes
- Section 724 minutes
- Section 833 minutes

Introduction to Elementary Algebra

##### 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.

###### Course Overview

- Section 179 minutes
- Section 289 minutes
- Section 379 minutes
- Section 466 minutes
- Section 565 minutes
- Section 679 minutes
- Section 715 minutes

Introduction to Fractional Calculus

##### 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.

###### Course Overview

- Video 118 minutes
- Video 214 minutes
- Video 317 minutes

## Course Type

- Interactive Courses
- Video Lessons
- Video Courses
- Instructor-led Courses
- Archived and Special Events

### Interactive Courses

Also known as MOOCs (massive open online courses), these courses are hosted on the Wolfram Cloud and allow you to interactively explore concepts using Wolfram Language functionality.

Self-paced with progress tracking

Include video lessons, exercises and problems, quizzes, exams and a scratch notebook

Sharable completion certificates available for all courses

Wolfram Level 1 proficiency certifications available for select courses

### Video Lessons

Short recorded lessons that provide limited instruction on a computational topic or for using Wolfram tech.

Quick-start videos

Lessons from content experts

A wide variety of beginner-level lessons

Free to watch

### Video Courses

Video series that build on preceding lessons to provide comprehensive instruction.

Each video course features a playlist of sequential lessons

Recorded by Wolfram certified instructors

Comprehensive coverage of a particular topic

Free to watch

### Instructor-led Courses

Scheduled as online and in-person classes, these courses provide comprehensive instruction guided by a live instructor.

Registration required to reserve your seat

Taught by Wolfram certified instructors

Opportunity to pose live questions to experts in the room

Course completion certificates available

### Archived and Special Events

Presentations by Wolfram developers, content experts and instructors.

Webinars on special topics and new release functionality

Livecoding sessions

Wolfram Daily Study Groups

Free to watch