Physics 211 “ mathmatical physics I

Mathematical physics I :

Linear vector space: basis, orthogonality and completeness; matrices; vector calculus; linear differential equations; elements of complex analysis: Cauchy-Riemann conditions, Cauchy’s theorems, singularities, residue theorem and applications; Laplace transforms, Fourier analysis; elementary ideas about tensors: covariant and contra variant tensor, Levi-Civita and Christoffel symbols.