## Class Schedule

Week | Topic | Notes and Homework |
---|---|---|

1: 11, 15 Sep | Topology | |

2: 18, 22 Sep | Topology, Mean value theorem | Topology notes |

3: 25, 29 Sep | Mean value-theorem, sequences and series | Mean value theorem notes |

4: 2, 6 Oct | Taylor series | Sequences and series notes HW 1 due on 2 Oct |

5: 9, 13 Oct | Function regularity, Weierstrass approximation theorem | Convergence of functions notes |

6: 16, 20 Oct | Contraction mapping principle, differential equations | HW 2 due on 16 Oct |

7: Recess (23 - 27 Oct) | ||

8: 30 Oct, 3 Nov | Midterm (30 Oct) | |

9: 6, 10 Nov | Measure theory | HW 3 due on 6 Nov |

10: 13, 17 Nov | Integration | Measure and integration notes |

11: 20, 24 Nov | Convergence theorems | HW 4 due on 20 Nov |

12: 27 Nov, 1 Dec | Banach and Hilbert spaces | Notes on convergence theorems, convexity and Hilbert spaces Probability notes |

13: 4, 8 Dec | Probability | HW 5 due on 4 Dec |

14: 11, 13 Dec | Finals |