Fuzzy differential equations (FDEs) extend classical differential equations by incorporating uncertainty through fuzzy numbers. This mathematical framework is particularly valuable for modelling ...
AI credited with breakthroughs in pure and applied mathematics Two recent advances highlight AI's expanding role in mathematics: ChatGPT-5.4 may have solved a decades-old Erdős problem, while ...
Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...
Backward Stochastic Differential Equations (BSDEs) constitute a powerful framework where the solution is determined by a terminal condition and then propagated backwards in time. This innovative ...
Differential equations don’t have to feel like an endless maze of formulas. With the right mix of tech tools, real-world context, and problem-solving strategies, they can become a skill you actually ...
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...
Introduces linear algebra and matrices with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses vector space ...