Elective List

Potential Theory. Mechanics of continuous media and fluids. Review of special relativity, tensor analysis and introductory general relativity. Einstein equations. Schwarzschild solution. Post Newton approximation. The Eikonal equation, geometrical and physical optics. Relation between classical and quantum mechanics. Classical Thermodynamics and constitutive relations. Micro canonical, canonical and grand canonical distributions. Quantum statistics. Special topics in statistical mechanics. (Bose-Einstein condensation. Fermi energy. Debye theory and Ising model). Simple systems with chaotic behavior. Small denominators and classical perturbation theory. Fractals. Stability and Bifurcation Theory