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Learn the most important PDEs and their solution methods through a user-friendly intro to the theory and applications, with interactive examples using Wolfram Language.
This course introduces partial differential equations (PDEs) from scratch and covers the most important types of PDEs and their solution methods. The study of partial differential equations is a vital, dynamic and essential area of mathematics, with applications across physics, engineering and beyond. PDEs are used to describe many physical phenomena in fields such as fluid dynamics, electromagnetism, mechanics, classical optics and heat flow. Many fundamental laws of physics, including Maxwell's equations, the Navier–Stokes equations, the heat equation, the wave equation and Schrödinger's equation in quantum mechanics, are expressed in terms of PDEs. The course is designed to provide a user-friendly introduction to the theory and applications of PDEs, with interactive examples using Wolfram Language's powerful built-in solving methods. Wolfram AI Course Assistant is available for this interactive course.
This course introduces partial differential equations (PDEs) from scratch and covers the most important types of PDEs and their solution methods. The study of partial differential equations is a vital, dynamic and essential area of mathematics, with applications across physics, engineering and beyond. PDEs are used to describe many physical phenomena in fields such as fluid dynamics, electromagnetism, mechanics, classical optics and heat flow. Many fundamental laws of physics, including Maxwell's equations, the Navier–Stokes equations, the heat equation, the wave equation and Schrödinger's equation in quantum mechanics, are expressed in terms of PDEs. The course is designed to provide a user-friendly introduction to the theory and applications of PDEs, with interactive examples using Wolfram Language's powerful built-in solving methods. Wolfram AI Course Assistant is available for this interactive course.
