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Introduction to Complex and Imaginary Numbers for General Studies

The free online course teaches you about complex and imaginary numbers, as well as transformations of functions.

Publisher: ADU
If you are a professional, a student or someone who has a keen interest in understanding complex numbers and types of functions, this course has been designed to help you. Study the characteristics of functions and function notation, before moving on to look at the different typed of special functions.The arithmetic operations, composition, as well as the graphical and multiple transformations of a function are all covered by the material.
Introduction to Complex and Imaginary Numbers for General Studies
  • Duration

    4-5 Hours
  • Students

    34
  • Accreditation

    CPD

Description

Modules

Outcome

Certification

View course modules

Description

Complex and imaginary numbers is a free online course that has been specifically prepared to teach you about pure imaginary numbers. When working with imaginary numbers, you should take time to learn about the addition, subtraction and other operation of imaginary numbers. This course also analyzes the concepts of the field of complex numbers. If you are asked about combining pure imaginary numbers with real numbers, you should know that the field of complex numbers is important. To perform algebraic operations with the imaginary number i, it’s necessary to know how to raise i to any power. Do you know that a complex plane consists of a real number line and a number line for all the pure imaginary numbers? Prepare yourself to learn about the conjugates and division of a complex number, rationalizing denominators, domain and range of a relation, as well as the vertical and horizontal line test for a function. It is also important that you learn about the algebraic rules for the multiplication of two binomials, multiple ways to represent a function, along with the behavior and characteristics of functions.

If you want to learn about the different types of special functions, as well as their properties, then you should complete this course. You will also be able to identify the different special functions from their equations and how to plot their graphs. The differences between the constant and identity functions will be covered in this course. This course can also help you understand the algebraic definitions of the absolute value functions. You will also be able to learn about the properties of the linear and greatest integer function. Do you know that when the graph of a quadratic function is plotted, the resulting figure is called a parabola? To have a better understanding about the parabola, you will also need to understand the vertex and its coordinates. It is also imperative that you learn about the features and differences between polynomial and rational functions. The equation and graph of an exponential function will also be covered extensively in this course. You will also learn about the differences, domain, properties along with the rules of the piece-wise defined and signum functions.


Furthermore, you can also learn about how to perform different arithmetic operations composition and inverse of a function. Do you know that a graph may be translated vertically, horizontally or both? To gain more insight on this, you will need to understand the concepts and properties of translations. You will learn about the graphical transformations of functions. You will also learn about dilations and reflections over the x, as well as the y-axis. This course will also help you get familiar with the properties preserved under a point reflection. You will be able to understand the multiple transformations of a function, and the order in which transformations are performed upon a prototype. You will also be familiar with finding the inverse of functions and proving how functions are inverses. This free online course will be of great interest to students, researchers, and anyone with an interest in understanding the complex and imaginary numbers. So, register for this course and start your next learning journey today.

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