Complex and Imaginary Numbers

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Intermediate

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Last updated on April 30, 2026 2:52 pm

Explore complex and imaginary numbers in these basic mathematics lessons and learn how to perform algebraic operations on functions and find their inverses.

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If you have a keen interest in understanding complex numbers and types of functions, this mathematics course has been designed especially to help you. Study the characteristics of functions and function notation before focusing on the different types of special functions. The material covers arithmetic operations, composition and the graphical and multiple transformations of a function.

What You Will Learn In This Free Course

  • Discuss the concepts of imaginary nu…
  • Explain the imaginary unit, denoted …
  • Discuss the field of complex numbers…
  • Outline how to perform operations on…
  • Discuss the concepts of imaginary numbers
  • Explain the imaginary unit, denoted ?i?
  • Discuss the field of complex numbers
  • Outline how to perform operations on imaginary numbers and complex numbers
  • Describe the concepts of functions
  • State the meaning of domain and range of a function
  • Identify the domain and range of the different special functions and how to draw their graphs
  • State how to perform arithmetic operations on functions
  • Discuss the composition of functions and how to form the composite of two or more functions
  • Explain the inverse of a function
  • Outline how a function can be analysed as a modification of a basic prototype
  • State how to transform geometric figures through translations, reflections, rotations and dilations
  • Imaginary Numbers and Functions

    In this module, you will be introduced to the definition of the set, concept of the field of complex numbers, how to graph complex numbers, as well as the steps involved in rationalizing denominators. You will also be introduced to the differences between the even and odd functions.

    Graphical Transformations of Functions

    In this module, you will be introduced to the different special functions, as well as the properties of translations, reflections and dilations. You will also be introduced to the multiple transformations of a function and arithmetic operations on functions.

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      Complex and Imaginary Numbers
      Complex and Imaginary Numbers
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