The course focuses on the partial differential equations in physics, their mathematical structures, as well as related numerical methods. The main topics will cover the introduction of elliptic, parabolic, and hyperbolic equations, their key theoretical results, and numerical methods for solving these equations.

CILO-1: Derive partial differential equations from corresponding physical problems. CILO-2: Describe the key mathematical results for those partial differential equations. CILO-3: Apply the numerical methods for solving partial differential equations, and related numerical analysis.