- Complex numbers: The complex plane. Modulus and argument. Polar, rectangular and exponential form. Euler´s and de Moivre´s theorems. Binomial equations. Algebraic equations.
- Taylor’s formula
- Differential equations: Separable differential equations. First order differential equations.
- Linear differential equations with constant coefficients. Applications.
- Transforms:
- Heaviside function. Dirac function.
- Laplace transforms.
- Z-transform.
- Fourier transforms.
- Fourier series.
- Applications on continuous and discrete dynamical systems. Stability.