These are the 6 most recently added notes.

  • Mixed numbers and improper fractions
    How to convert to or from mixed numbers and improper fractions.
  • Part 5: Appendix to notes on complex numbers
    Proofs of two important calculations with complex numbers written in polar co-ordinates. Links to interesting lessons about complex numbers are added in the second part of this page.
  • Part 4: Powers and roots of complex numbers
    Based on writing complext numbers using polar co-ordinates (see Part 3 of these notes) the powers and roots of complex numbers can be calculated relatively easily. IMPORTANT: If you are not familiar with trigonometry do not proceed further yet. These notes refer to proofs which can be found in part 5 of these notes.
  • Part 3: Graphical representation of complex numbers
    An alternative way of writing complex numbers. This way is based on graphically representing the two parts of a complex number on a co-ordinate plane. IMPORTANT: If you are not familiar with trigonometry do not proceed further yet. These notes refer to proofs which can be found in part 5 of these notes.
  • Part 2: Basic calculations with complex numbers
    How to write complex numbers. How to do the basic types of calculations with complex numbers. i.e. addition, subtraction, multiplication and division.
  • Part 1: The background of complex numbers
    The origins of complex numbers and the unfortunately name “imaginary” numbers.