In this program
- Partial derivatives and notation
- First-order linear
- Quasilinear PDEs
- Classification of second-order linear PDEs: elliptic, parabolic, hyperbolic
- Physical interpretation
- Wave propagation
- Well-posedness
- Types of boundary conditions (Dirichlet, Neumann)
First-order equations and classification
Classification of second-order linear PDEs: elliptic, parabolic, hyperbolic
Partial differential equations · STEM / applied
Topic
Classification of second-order linear PDEs: elliptic, parabolic, hyperbolic
Undergraduate Partial Differential Equations — scope drawn from typical US intro PDE syllabi and open PDE notes (separation of variables, Fourier series, classic equations).