Mathematical physical equations is a professional development course. It comprehensively uses previous mathematical knowledge to solve related practical problems, and it is a bridge between mathematical modeling and equation solving. The main contents include the mathematical models of three most important partial differential equations (Laplace equation, heat conduction equation and wave equation) and the presentation of various definite solution conditions; Basic methods for solving partial differential equations: separation of variables, integral transformation (Fourier transform and Laplace transform), traveling wave method, basic solution and Green's function method, as well as two most commonly used special-cylindrical functions (Bessel equation, Bessel function properties and applications) and spherical functions (Legendre equation and Legendre function properties and applications).

Partial differential equation is a quality development course and an applied basic subject. On the one hand, it is closely related to the basic theories of analysis and geometry in modern mathematics, and at the same time, it has important application background in natural sciences such as physics, mechanics, biology, chemistry and social sciences such as economy and finance. This course mainly teaches the model establishment, basic solutions and basic theories of three kinds of classical mathematical and physical equations (string vibration equation, heat conduction equation and potential equation), including extreme principle, existence uniqueness and stability.