Fourier Series and Integrals: Euler coefficients, half range expansion, harmonic analysis, the Fourier Integral as the limit of Fourier Series, from Fourier Series to Laplace Transform. Applications in engineering problems.
Laplace transformation: definitions and general methods, transforms of special functions, transform of ordinary differential equations. Applications in engineering problems.
Partial differential equations: types of PDE, solution of PDE, separation of variables methods, Laplace Transform method. Vector Analysis: Curl, Del, gradient and divergence operators, directive of a function along a line, Green's Theorem, Divergence Theorem, Stokes Theorem. Applications in engineering problems.