Course description - Content

Course description: “Applied Mathematics for Engineers” covers the fundamentals of signal and system analysis, focusing on representations of continuous-time and discrete-time signals (Fourier series and transforms, Laplace and Z transforms) and representations of linear, time-invariant systems (difference and differential equations, poles and zeros, convolution, impulse and step responses, frequency responses). Applications are drawn from communications, and signal analysis and processing.

Course content:
- Introduction to complex-valued functions
- Representation of analytic functions with series
- Basic signals and systems concepts
- Representation of periodic signals with Fourier series
- Fourier transform
- Sampling
- Fourier transform of discrete signals
- Τransformation Z
- Laplace transform

Keywords: Continuous-time signal, Convolution, Sampling, Discrete-time signal, Fourier transform, Z transform, Laplace transform