The objective of the course is that you can solve mathematical and physical problems that involve differential equations, regardless of the initial conditions. The methodology consists of solving the problem with a general approach and then the initial conditions are applied to adapt the solution to the particular problem. The content covered is as follows: Heaviside functions, dirac delta, indicatrix, generalized function. Improper integrals for the entire real domain. Limit of functions. Laplace transform. Differential equations with initial conditions. Fourier transform. Fourier series Parity of functions. Differential equations with two variables (Separation of variables method). Improper integrals for the entire complex domain. I am able to guide you even if you have not seen this content in college. This content prepares you for advanced subjects such as signal analysis, fourier analysis, harmonics. etc.