# 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.

An Elementary Introduction to the Wolfram Language

##### An Elementary Introduction to the Wolfram Language

###### Interactive Course | FREE

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

**Certification Levels:** CompletionLevel 1

Learn Wolfram Language and modern computational thinking from Stephen Wolfram's book with veteran Wolfram Language instructor and developer David Withoff. The course requires no prior programming knowledge and is suitable for those at any educational level with an interest in computational thinking and its practical applications.

###### Course Overview

- Section 166 minutes
- Section 269 minutes
- Section 355 minutes
- Section 479 minutes
- Section 5100 minutes

Introduction to Complex Analysis

##### 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.

###### Course Overview

- Section 127 minutes
- Section 249 minutes
- Section 352 minutes
- Section 454 minutes
- Section 526 minutes
- Section 623 minutes
- Section 743 minutes
- Section 850 minutes
- Section 990 minutes

Introduction to Electric Circuits

##### Introduction to Electric Circuits

###### Interactive Course | FREE

**Requirements:** This course requires high-school level physics, algebra and basic calculus.

**Certification Levels:** CompletionLevel 1

Explore the fundamentals of electric circuits in this interactive course using Wolfram Language and Wolfram System Modeler. User-friendly diagrams, visualizations and models intuitively demonstrate how electric circuits behave. The course covers circuit components, basic theoretical concepts and methods for analysis. The final section of the course focuses on operational amplifiers.

###### Course Overview

- Section 121 minutes
- Section 230 minutes
- Section 350 minutes
- Section 4152 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
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A Guide to Programming with Wolfram Language

##### A Guide to Programming with Wolfram Language

###### Interactive Course | FREE

**Requirements:** This course requires basic working knowledge of Wolfram Language

**Certification Levels:** CompletionLevel 1

Go beyond the basics of programming in Wolfram Language. Learn how to write more complex programs in different programming styles as well as utilize flow control primitives and other features of this high-level programming language. Wolfram Language has a wealth of built-in functions that require little or no programming, but there are special applications that require programming to get the code to do things that go beyond those built-in capabilities. This course offers a collection of useful tips and technical details for intermediate-level programmers.

###### Course Overview

- Section 127 minutes
- Section 230 minutes
- Section 322 minutes
- Section 424 minutes
- Section 526 minutes
- Section 631 minutes
- Section 722 minutes
- Section 834 minutes

Can I Spot a Cheat?

##### Can I Spot a Cheat?

###### Interactive Course | FREE

**Requirements:** This course requires basic working knowledge of the Wolfram Language, common data visualisations (histograms) and empirical and probability distributions.

**Certification Levels:** CompletionLevel 1

Being able to measure variations in data and identify abnormal variation is an important skill in many fields. In the financial sector, for example, fraudulent behaviour can cost huge sums of money. In this Computational Thinking module, you will learn how to recognise patterns in data that differ “significantly” from the norm and learn how to provide evidence that the source of one dataset is different to another. You will learn how to use significance levels to quantify how unexpected the patterns or differences were, ultimately writing and interpreting your own hypothesis test.

Learn MoreCause or Correlation?

##### Cause or Correlation?

###### Interactive Course | FREE

**Requirements:** This course requires basic working knowledge of the Wolfram Language, common data visualisations (histograms) and statistics (mean, median).

**Certification Levels:** CompletionLevel 1

Knowing how one variable affects another is important in many instances in real life, from medical diagnoses to environmental impacts or financial trends. In this Computational Thinking module, you will learn about dependent connections between variables, the possible cause(s) for such dependencies and how these are often misused in the media to make claims that are incorrect—particularly about how adopting one behaviour can cause something positive or negative to happen.

Learn MoreCreative Computation

##### Creative Computation

###### Interactive Course | FREE

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

**Certification Levels:** CompletionLevel 1

Explore core programming concepts by creating visual art, poetry and video games using built-in Wolfram Language functions and the Wolfram Notebook interface. Learn to use coding and computation as tools to develop your creative potential and build a portfolio of computationally creative work.

###### Course Overview

- Section 118 minutes
- Section 225 minutes
- Section 329 minutes
- Section 420 minutes
- Section 533 minutes

Does Gender Help with Your Maths Score?

##### Does Gender Help with Your Maths Score?

###### Interactive Course | FREE

**Requirements:** This course requires knowledge of common data visualisations (pie charts, bar charts, histograms) and statistics (min-max, mean, median, range).

**Certification Levels:** CompletionLevel 1

The ability to decide whether group A is different, either better or worse, than group B is an important technique within computational thinking and data science. It is useful in many areas, from medical experiments to sales figures to environmental changes. This Computational Thinking module introduces you to how problems like this can be tackled, first on small datasets, then on a national scale, comparing results to published reports.

Learn MoreExploring Creative Data Analytics

##### Exploring Creative Data Analytics

###### Interactive Course | FREE

This course provides a beginner's introduction to applying modern computation to business analytics and working with text, image, video and web data in Wolfram Language. Course lessons explore case studies using real-world data.

Learn MoreHow Happy Are People in My Country?

##### How Happy Are People in My Country?

###### Interactive Course | FREE

**Requirements:** This course requires knowledge of common data visualisations (bar chart) and statistics (mean, median), as well as very basic spreadsheet skills.

**Certification Levels:** CompletionLevel 1

Happiness, like many other subjective measures, is difficult to define. But with careful assumptions, many governments and businesses can analyse subjective data and use it to improve future growth or the lives of their citizens. In this Computational Thinking module, you will learn how the assumptions are made and how data scientists analyse reliable sources of data, ultimately finding a measure of how happy people are in your country.

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
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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
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- Section 753 minutes
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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
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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 Image Processing

##### 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.

###### Course Overview

- Section 138 minutes
- Section 241 minutes
- Section 336 minutes
- Section 426 minutes
- Section 536 minutes

Introduction to Linear Algebra

##### 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.

###### Course Overview

- Section 161 minutes
- Section 259 minutes
- Section 341 minutes
- Section 457 minutes
- Section 561 minutes

Introduction to Multivariable Calculus

##### 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.

###### Course Overview

- Section 1129 minutes
- Section 254 minutes
- Section 3162 minutes
- Section 4127 minutes
- Section 5112 minutes

Introduction to Notebooks

##### 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.

###### Course Overview

- Section 17 minutes
- Section 216 minutes
- Section 316 minutes
- Section 419 minutes
- Section 525 minutes
- Section 623 minutes
- Section 715 minutes

Introduction to Probability

##### 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.

###### Course Overview

- Section 151 minutes
- Section 239 minutes
- Section 332 minutes
- Section 434 minutes
- Section 527 minutes
- Section 626 minutes

Introduction to Statistics

##### 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.

###### Course Overview

- Section 112 minutes
- Section 210 minutes
- Section 311 minutes
- Section 410 minutes
- Section 512 minutes
- Section 617 minutes
- Section 77 minutes
- Section 812 minutes
- Section 99 minutes
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Introduction to Stochastic Processes for Finance Research and Trading

##### 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.

###### Course Overview

- Section 120 minutes
- Section 218 minutes
- Section 329 minutes

Multiparadigm Data Science

##### Multiparadigm Data Science

###### Interactive Course | FREE

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

**Certification Levels:** CompletionLevel 1Level 2

Multiparadigm Data Science is a rapidly advancing new way to use modern analytical techniques, automated machine learning and human-data interfaces to arrive at better answers. This course introduces the basic concepts of the multiparadigm approach, demonstrating both the flexible, integrated project workflow and the broad computational toolkit that supports it from start to finish. Discover best practices, exploration techniques and ways to leverage high-level Wolfram Language to get real, quantifiable answers to the full range of data science problems.

###### Course Overview

- Section 135 minutes
- Section 225 minutes
- Section 316 minutes
- Section 458 minutes
- Section 524 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