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# Introduction to Algebra for Engineering

## This free online course explains various approaches and methods used for solving algebraic problems in engineering.

Algebra is an important branch of mathematics that deals with symbols and the rules of manipulating those symbols. This course explains the concept of mathematical systems and their properties. It looks at the differences between commutative and non-commutative properties as well as how to solve algebraic problems. By the end, you will be more skilled in the different methods used to solve quadratic equations.

3-4 Hours

250

CPD

Earn Money

## Description

There are many situations in engineering where we have to deal with algebraic symbols and equations. The aim of this course is to take young and aspiring engineers through the fundamentals of algebra in engineering. It begins by defining binary operations and explains how an operation, such as addition or multiplication is performed on a set, giving rise to two elements to combine to form a third element. It also describes some of the typical properties of a system. This course defines a Group as consisting of a non-empty set G, with a binary operation (∗) on G and properties including closure, associative, identity elements and inverse elements. It also differentiates between infinite and finite commutative groups. A Field consists of a non-empty set F, with two binary operations, (+,•).  You will learn how it is customary to denote the two operations as (+) and (•) due to variances in their behaviour. You will study a set of numbers known as imaginary numbers or pure imaginary numbers, and learn how the imaginary unit is defined. See how to perform operations on imaginary numbers and on complex numbers.

Complex numbers combine the set of real numbers with the set of pure imaginary numbers. You will learn how a set of complex numbers form a field under the operations of addition and multiplication. Then discover how to graph complex numbers and how to perform operations on complex numbers. This course defines relations as any set of ordered pairs and ranger sets as a set of second coordinates of each ordered pair. Learn about a function, which is any relation in which no two ordered pairs have the same first element. You will also delve into functional notation and special functions. The course explains how constant functions map real numbers. It also describes the algebraic definitions of the absolute value function and the geometric definition of the absolute value function. Learn about linear functions and the greatest integer function. The material explains quadratic function as well as the concepts of parabolas and the vertex in detail. You will be introduced to the polynomial and rational functions, and be taken through the applications of exponential functions.