All Classes and Courses

Quantum Optics and Second Quantization (Study Group Sessions)

Archived Event | FREE

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. These topics are discussed in introductory quantum optics courses. The majority of the content is of an educational nature, but research-oriented examples are also included.

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.

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 analysis methods 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.

Solving ODEs and PDEs with Wolfram Language (Study Group Sessions)

Archived Event | FREE

This Daily Study Group covers techniques for solving ordinary differential equations (ODEs) and partial differential equations (PDEs) using Wolfram Language. It introduces the built-in function DSolve for finding symbolic solutions to differential equations and the built-in function NDSolve, a general numerical differential equation solver. Topics covered include the numerical method of lines, the finite element method (FEM), the use and construction of meshes, boundary value problems and eigenvalue problems.

Solving PDEs with Symbolics and Numerics

Video Course | FREE

This video course provides a thorough introduction to solving partial differential equations (PDEs) in the Wolfram Language both symbolically and numerically. You'll learn how to solve boundary value problems for classical PDEs and obtain solutions for the Schrödinger and other modern PDEs using the Wolfram Language function DSolve and its numerical counterpart NDSolve. You'll also discover how to solve PDEs over regions, find eigenvalues and eigenfunctions over regions with DEigensystem and NDEigensystem and use the latest Wolfram Language functionality to create better PDE models and gain a deeper understanding of your physics and engineering designs.

Statistical Analysis with Wolfram Language

Video Course | FREE

Analyze your data using a framework of model fitting and statistical analysis built into the Wolfram Language. Whether it is basic descriptive and exploratory statistics or advanced modeling with statistical distributions, you can follow this video course to gain an understanding of the statistical functionality available in the Wolfram Language. Topics covered include descriptive measures, transformations, basic clustering, statistical distributions, parameter estimation and hypothesis testing. Advanced topics on using optimization functions, linear algebra functions, analysis of variance (ANOVA) and generalized logit and probit linear models will also be explored.

Statistical Distributions

Video Lesson | FREE

The Wolfram Language includes extensive coverage for statistical distributions. This class explores the properties of derived distributions, probability distributions, mixture distributions and more. Other topics include random number generation and parameter estimation. This class assumes basic familiarity with the Wolfram Language and statistics concepts.

Statistics and Machine Learning: Better Together

Archived Event | FREE

Certification Levels: Attendance

This presentation demonstrates how the powerful symbolic nature of Wolfram Language makes the handling of statistical distributions simple, how automation can play a part in making machine learning accessible and how the two fields together can allow the utilization of some powerful and flexible tools.

Symbolic and Numeric Computation

Video Course | FREE

This video course illuminates the powerful combination of symbolic and numeric computing available in the Wolfram Language. See how the numerical functions and methods in the Wolfram Language benefit from symbolic computation with exact numbers, where purely approximate methods may fail. Tips and techniques for using multiple numerical functions together, along with advanced numeric features, are included.

Topics in Artisanal Calculus (Study Group Sessions)

Archived Event | FREE

Explore lesser-known but incredibly useful topics in calculus. In this Daily Study Group on "artisanal" topics in calculus, learn about umbral calculus, Bell polynomials, the Euler–Maclaurin formula and fractional calculus. See how you can apply methods in calculus to the study of dynamical systems, minimal surfaces and even number theory.

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.

Wavelet Analysis

Video Course | FREE

Understand your data better with wavelet analysis. These videos offer an in-depth introduction to wavelets, starting from basic concepts and continuing into advanced methods and uses. You'll learn the essentials of wavelet decomposition of signals—including different types of wavelet transforms, common algorithms, visualizations and interpretation of results—with a focus on general applications in signal processing and time series analysis. Examples are presented from financial analysis, edge detection, denoising of images, data compression and more.

Wavelet Applications

Video Lesson | FREE

This video class presents examples from a variety of applications, including financial time series, edge detection and denoising of images, thresholding, image and data compression and image fusion. Familiarity with Fourier transforms and data smoothing methods is recommended for this class.

Wavelet Concepts

Video Lesson | FREE

Wavelets decompose a signal into approximations and details at different scales, making them useful for applications such as data compression, detecting features and removing noise from signals. This class explains some of the theory behind continuous, discrete and stationary wavelet transforms and demonstrates how the Wolfram Language and its built-in functions can be used to construct, compute, visualize and analyze wavelet transforms and related functions. Familiarity with Fourier transforms and data smoothing methods is recommended for this class.