👉 Partial differential calculus (PDE) is a branch of mathematics that extends the concepts of ordinary differential equations (ODEs) to functions of multiple independent variables and their partial derivatives. It deals with equations involving derivatives with respect to multiple variables, such as time and space, and is crucial for modeling dynamic systems in physics, engineering, and other sciences. PDEs describe how quantities change over these variables, capturing phenomena like heat diffusion, wave propagation, and fluid dynamics. Solving PDEs often involves techniques from analysis, numerical methods, and sometimes algebraic geometry, aiming to find functions that satisfy the given equations and initial or boundary conditions.
