Review of ordinary differential equations; linear differential equation of the first order;linear differential equations with constant coefficients; particular solutions by variations ofparameters. Power series solutions; method of Frobenius; Legendre's equation; Fourier-LegendreSeries; Bessel's equation; modified Bessel equation. Fourier methods; Fourier series; SturmLiouville theory; Fourier integral; Fourier transformation. Partial differential equations; heatconduction equation; separation of variables; waves and vibrations in strings; wave equation;D'Alembert's solution; longitudinal vibrations in an elastic rod; two dimensional stress systems;solution of Navier's equations by the application of Fourier transforms; Laplace equation.
