Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...

The Department of Engineering Sciences and Applied Mathematics (ESAM) at Northwestern University is highly interdisciplinary and focused on applications. Our faculty and students connect with ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Explicit learning goals Interactive lectures Transformed homework problems (including a "bank" of potential HW problems) Common student difficulties & in-class group activities/tutorials Concept tests ...

Google DeepMind has introduced a new method called FunSearch. This method uses Large Language Models (LLMs) to search for new solutions in mathematics and computer science. The method is described in ...

How can mathematics learning in primary school be facilitated? Scientists have developed an intervention to promote the learning of math in school. Named ACE-ArithmEcole, the program is designed to ...