Here is a brief preparation guide, indicating the level of mathematical background expected.

Thursday 30 Aug Introduction to fractals, types of self-similarity, examples of fractals in nature and the arts | |

Tuesday 4 Sept Iterated function systems, a language for making fractals. notes | Thursday 6 Sept Finding rules to make fractals, continued review notes |

Tuesday 11 Sept The chaos game, the random IFS algorithm review notes | Thursday 13 Sept Driven IFS: using fractals to find hidden patterns review notes |

Tuesday 18 Sept Continuing driven IFS review | Thursday 20 Sept Measuring fractals, box-counting dimension review notes |

Tuesday 25 Sept Similarity dimension, the Moran equation, mass dimension review notes | Thursday 27 Sept The algebra of dimensions, some applications of dimension review notes |

Tuesday 2 Oct Generalizing dimensions: multifractals review notes | Thursday 4 Oct More multifractals and some random fractals review notes |

Tuesday 9 Oct Manufactured fractals review | Thursday 11 Oct Fractals in the wild |

Tuesday 16 Oct Midterm review review | Thursday 18 Oct Midterm Exam and solutions |

Tuesday 23 Oct Random fractals review | Thursday 25 Oct |

Tuesday 30 Oct Fractal cartoons of financial processes, the Trading Time theorem | Thursday 1 Nov A brief glimpse of chaos, simple processes with very complicated dynamics review notes |

Tuesday 6 Nov Some ways to analyze chaotic data review notes | Thursday 8 Nov Driven IFS analysis of chaotic data review notes |

Tuesday 13 Nov Cellular automata: fractals in space and time | Thursday 15 Nov The universe is a cellular automaton: views for and against review |

Tuesday 20 Nov | Thursday 22 Nov |

Tuesday 27 Nov Complex iteration, Julia sets, and the Mandelbrot set notes | Thursday 29 Nov Some basic properties of the Mandelbrot set review notes |

Tuesday 4 Dec Fractal basin boundaries, the Mandelbrot set is everywhere review | Thursday 6 Dec Some things we do (and don't) know about the Mandelbrot set review notes |

Tutor Maddie Oliver |

Hours Tuesday, 7:30pm-8:30pm and Wednesday 7:30pm-9:30pm |

Location Stiles Common Room |

Final Exam review notes |

Final Exam: Thursday, December 13, 7pm - 10:30pm |

Here are practice final 1 and its solutions. |

Here are practice final 2 and its solutions. |

Here are practice final 3 and its solutions. |

Here are practice final 4 and its solutions. |

Here are practice final 5 and its solutions. |

Here are practice final 6 and its solutions. |

Here are the final exam and its solutions. |

Under no circumstances will an early final exam be given. |

With a dean's excuse, the final exam can be postponed until the second week of the spring semester. |