All Classes and Courses

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.

Daily Study Group: Introduction to Discrete Mathematics

Special Event | FREE

Certification Levels: CompletionLevel 1

This Daily Study Group follows lessons from the upcoming Introduction to Discrete Mathematics course on Wolfram U. The course explores the main branches of discrete mathematics and simple applications in computer science. It follows and expands on topics covered in discrete mathematics or mathematics of computer science courses.

Daily Study Group: Introduction to Multivariable Calculus

Special Event | FREE

Certification Levels: CompletionLevel 1

This Daily Study Group follows lessons from the upcoming Wolfram U comprehensive introduction to multivariable calculus course. The course extends concepts from single-variable calculus to multiple dimensions. Multivariable calculus follows and expands on topics covered in AP Calculus BC courses.

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.

Introduction to Calculus

Interactive Course | FREE

Requirements: This course requires no prior knowledge of Mathematica or the Wolfram Language. Prerequisites for calculus include Algebra I (elementary algebra), Algebra II (intermediate algebra), elementary geometry and trigonometry or precalculus.

Certification Levels: CompletionLevel 1

A comprehensive introduction to fundamental concepts in calculus, including video lessons and interactive notebooks. Follow along with the examples in the Wolfram Cloud and use the material to prepare for the AP Calculus AB exam. The course starts with functions and limits, followed by differential calculus and its applications, and then moves on to integral calculus and its applications. Problem sessions, exercises, quizzes and a sample exam 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 Elementary Algebra

Interactive Course | FREE

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.

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

A comprehensive introduction to fundamental concepts in linear algebra, including 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 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 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.

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.

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 methods of analysis 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.

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 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.

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.