Review of ordinary differential equations; linear differential equation of the firstorder; linear differential equations with constant coefficients; particular solutions byvariations of parameters. Power series solutions; method of Frobenius; Legendre'sequation; Fourier-Legendre Series; Bessel's equation; modified Bessel equation.Fourier methods; Fourier series; Sturm-Liouville theory; Fourier integral; Fouriertransformation. Partial differential equations; heat conduction equation; separation ofvariables; waves and vibrations in strings; wave equation; D'Alembert's solution;longitudinal vibrations in an elastic rod; two dimensional stress systems; solution ofNavier's equations by the application of Fourier transforms; Laplace equation.
