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These are the 6 most recently added notes.

  • Derivatives: Part 2. Maxima and minima
    How to find the extreme values of functions and how to decide whether they are a maximum, a minimum or a point of inflection.
  • Derivatives: Part 1. The basics
    Introducing the vocabulary of derivatives and the various notations used.
  • Compound angles
    The following are explained: SIN(A+B), COS(A+B), TAN(A+B). Also SIN(A-B), COS(A-B), TAN(A-B) and SIN(2A), COS(2A), TAN(2A)
  • 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.