Definition of complex number A Complex number is a pair of real numbers (x;y). Its algebraic form is z=x+i*y, where i is an imaginary…

# Category: Courses

## Mathematics Fundamentals: Complex numbers 2

Let's suggest a function y=f(x) that is defined on the interval (a,b). Choose a point x on the interval (a,b), and another point x+∆x…

## Mathematics Fundamentals: Differentiability, differential of a function and integral

If function y=f(x) has a derivative in the point x: lim∆x→0 ∆y∆x=f' (x) Let's introduce the function: α(x)=∆y∆x-f' (x)=f(x+∆x)-f(x)∆x-f' (x) Function α(x) exists with the…

## Mathematics Fundamentals: Quiz

Exercise 1. Calculate: a. 5-1i3+i;b. (7+2i)-(3-2i)+(11+i)-(17-3i);c. (2+i)*(5-2i)+(6+13i)*(7-i);d. -13+6i2-i+ (8-i5+2i)2 Exercise 2. Calculate: Re(12-i6+3i), Im(-2i5+i) Exercise 3. Find all a values for the equality: -5+i+(2+a)2 where a is an imaginary number.…

## Engineering Project Management: The idea of a project

A Project is a set of activities in order to produce a unique product or service in a certain period of time. As we…

## Engineering Project Management: The project lifecycle

The project lifecycle is a sequence of phases in a project with certain name and number, assigned by the management of the project or…

## Signals and systems: #1 The definition and characterising of signals

From a general point of view, signals are functions of one or several independent variables. There two types of signals – descrete-time and continuous-time…

## Signals and Systems: Types of signals

Even and odd signals: The continuous-time and discrete-time signals are called even if they are identical to their counterparts on the time scale, i.e.…

## Semiconductor Devices: Electric current conduction in semiconductors

The previous module showed the characteristics of semiconductors and their variety under different conditions. Here we will briefly recap the main characteristics of semiconductors…

## Electromechanics: Theoretical basis

In the previous chapters we learned the operating principles of electric and magnetic fields. Elelctromagnetic forces are used to produce mechanical effects in the…