Summation of finite series using standard results |

Summation of series using the method of differences |

Mathematical induction |

Introduction to complex numbers |

The language of complex numbers and the Argand plane |

Algebra of complex numbers |

Loci involving complex numbers |

Transformations of the z and w plane |

Roots of polynomials of degree 3 - cubics |

Matrix algebra |

Properties of matrix multiplication |

Inverse of a 2 x 2 matrix and determinants |

Determinants |

Linear dependence, independence, and singular and non-sinular matrices |

Linear simulataneous equations, Guassian elimination and reduction to echelon form |

Inverse of a 3 x 3 matrix |

Linear Transformations and matrices |

Mathematical induction in matrix algebra |

Differentiation from first principles |

Logarithms and implicit differentiation |