Partial differential equations for engineers

1. Introduction, terminology, motivational examples.
2. Equations of the first order, method of characteristics.
3. Classification of second order equations.
4. Derivation of heat conduction equation in rod and body.
5. Derivation of equation of diffusion and vibration of string.
6. Derivation of equations using the variational principle.
7. Method of characteristics for hyperbolic equations.
8. Fourier series.
9. Fourier series method.
10. Method of integral transformation.
11. Green function method.
12. Principle of maximum and uniqueness of tasks.
13. Potential method.
14. Final summary, evaluation of results, reserve.