| Abstract:This study investigates the existing problems in teaching the course of Mathematical Physics Equations, such as limited class hours, excessive content, complex mathematical derivations, and low student interest. To address these issues, a problem-driven teaching strategy is proposed. Using the heat conduction equation as an example, the instructional design guides students through step-by-step questioning to perform mathematical modeling. The separation of variables method is applied to solve the initial-boundary value problem of a metal rod, and the results are visualized for analysis, revealing the decay law of temperature and steady-state characteristics. Furthermore, a case study on heat dissipation in power devices from electrical engineering is introduced to illustrate the integration of theory with engineering practice. |
