| Unit name | Applied Partial Differential Equations 2 |
|---|---|
| Unit code | MATH20402 |
| Credit points | 20 |
| Level of study | I/5 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Professor. Porter |
| Open unit status | Not open |
| Pre-requisites |
MATH11002, MATH11003 and MATH 20900 (may be taken concurrently) |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
Partial differential equations (PDEs) are differential equations involving partial derivatives of functions of several variables. They are essential for understanding ocean waves, the flow of rivers, the diffusion of pollutants, aerodynamics, the operation of musical instruments, atomic physics, and many other branches of science. This unit will give an introduction to simple PDEs and how they arise in physical problems; it will develop techniques for solving them and understanding the behaviour of the solutions. The unit will develop students' understanding of first year multivariable calculus, Fourier series, and linear algebra. It will introduce the Fourier integral and other methods for solving linear and nonlinear PDEs, and will show how eigenvalues play a central role in applied mathematics. The course emphasises techniques and broad understanding rather than proofs. NOTE: This unit is not available to students who took Differential Equations 2 in 2002-3 or 2001-2.
