206442 – Partial differential equations
Classroom: SCB 4301
Class meeting: Tue Fri at 9.30 am - 11.00 am
Semester: 2/2565

Instructor: Nattapol Ploymaklam
Office: MB 2225
Email: nattapol.p@cmu.ac.th

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Course Learning Outcomes (CLO): Students are able to

1. classify types of PDEs

- linear and nonlinear

- quasilinear

- homogeneous and nonhomogeneous

- order of PDE

- types of second-order PDE

- canonical forms of second-order PDE

2. explain formulation of PDEs 

- transport equation

- heat equation (or diffusion equation)

- wave equation

- Laplace and Poisson equation

3. find solutions of first order linear and nonlinear PDEs, and special types of ODEs

- method of characteristics for linear and quasilinear Cauchy problem (PDE)

- Lagrange’s method (PDE)

- Charpit’s method (PDE)

- method of undetermined coefficients (PDE) 

- Fourier series

- Sturm-Liouville equation (ODE)

- special functions (ODE)

4. find solutions of second-order PDEs 

- method of separable of variables

- second-order PDEs in other coordinates and higher dimensions

5. find numerical solutions of 1-D PDEs

- finite difference method (FDM)

- (weak formulation and FEM, if time permits)

Midterm Exam Date: Sunday, January 29^th, 2023 at 12.00 – 15.00 PM
Location: TBA

Final Exam Date: Thursday, March 30^th, 2023 at 15.30 – 18.30 PM
Location: TBA