# Category: Mathematics for Engineering

## Mathematics for Engineers: Preface

Aim of the study element

To effectively use mathematics for solving engineering problems complex numbers, vectors, integral and differential calculus, matrices and differential equations.

Learning outcome

Having successfully completed this element you will be able to:

• Use basic concepts of complex numbers, vectors, integral and differential calculus, matrices and differential equations in application to engineering.
• Resolve engineering problems using mathematical tools.
• Analyse and resolve complex engineering problems, combining basic mathematical concepts.
• Select and use proper mathematical tools for the solution of problems in circuits.

Covered topics:

• Complex numbers.
• Derivatives.
• Integral and differential calculus.
• Matrices and operations.

The complete content for this module will be posted here soon.

Mathematics for Engineering

## 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…