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Topics are listed by the age at which serious study typically begins. This may vary by geographic location and educational institution. More advanced topics can be listed at Math Wiki:Major areas.

Primary school mathematics (ages 5–10) |
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Counting |

Numbers |

Shapes |

Arithmetic |

Pre-algebra |

Fractions and percents |

* Charts |

* Tables |

Secondary school mathematics (ages 11–17) |

Elementary algebra (symbolic arithmetic and equations) |

Intermediate algebra (including functions and graphs) |

Elementary geometry (plane figures, coordinate systems) |

Trigonometry |

Precalculus |

Survey of mathematics |

* Introduction to probability and statistics |

Calculus |

University level mathematics (ages 18–) |

Introduction to mathematics (for non-majors) |

* Mathematics education |

* College algebra |

* College mathematics |

* Finite mathematics |

Differential and integral calculus |

Multivariable calculus or vector calculus |

* Advanced calculus or * Introduction to real analysis |

Differential equations |

Linear algebra |

* Multilinear algebra |