Taylors series. Linear differential equations. First-order differential equations. Homogeneous Second-order equations with constant coefficients. Cauchy-Euler equations. Non-homogeneous linear equations. Method of undetermined coefficients. Method of variation of parameters. Vector analysis. Scalar and vector functions. Ortogonal coordinates. Partial differential equations. Fourier series. Laplace transformation. Fourier transformation. Applications in mechanics, fluid mechanics and electromagnetic theory.



References:

1. Boas, M.L. (2003). Mathematical Methods in the Physical Sciences. Thomson Brooks/Cole.

2. Ramana, B.V. 2006). Engineering Mathematics. McGraw-Hill.

3. Kreyszig, E. (1998). Advanced Engineering Mathematics (8th Edition). John Wiley & Sons.