MATH336 - Partial Differential Equations
Partial differential equations form one of the most fundamental links between pure and applied mathematics. Many problems that arise naturally from physics and other sciences can be described by partial differential equations. Their study gives rise to the development of many mathematical techniques, and their solutions enrich both mathematics and their areas of origin.
This unit explores how partial differential equations arise as models of real physical phenomena, and develops various techniques for solving them and characterizing their solutions. Especial attention is paid to three partial differential equations that have been central in the development of mathematics and the sciences - Laplace's equation, the wave equation and the diffusion equation.
Prerequisites: MATH235(P); MATH232(P) or MATH236(P).
Corequisites: None.
Not Counted for Credit With: None.