Applied Mathematics for Engineers

The object of Applied Mathematics for Engineers is to formulate and solve mathematical models for problems arising in science and technology. The course Applied Mathematics for Engineers begins with an introduction to complex numbers and complex functions, which form the framework for representation and analysis of signals. Next is the introduction to signals and waveforms to allow the representation and analysis of information. The harmonic analysis is a powerful theoretical framework for the representation and processing of signals, both for information extraction, and for their transmission and communication. For this reason, transformations are given that analyze signals to harmonic components according to the categories of signals.

Objectives

Prerequisites

Calculus

Syllabus

Course content: Introduction to complex numbers Basic signal concepts Representation of periodic signals with Fourier Series Fourier Transform Random Processes Laplace Transform Sampling Discrete-Time Fourier Transform Discrete-Time Signals