Linear Partial Differential Equations
This course covers the main families of linear partial differential equations: transport, wave, elliptic, and parabolic. For each one of them we present methods to compute exact solutions based on the linear structure of the problem. We will also analyze qualitative properties of the solutions, fundamental to understanding the challenges encountered in their corresponding numerical models.
Multivariable calculus, linear algebra, and ordinary differential equations.
On completion of this course, students will
2 hours per week with a teaching assistant
Homework (30%), midterm (30%) just before the drop deadline, final exam (40%)