General Information | Syllabus | HW Assignments |

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

NOTE ON SECTIONS FOR READING: Munkres uses continuous section numbering, so that the first section of chapter 2 is listed as 2.12 instead of 2.1.

Lectures | Sections in Text | Brief Description |
---|---|---|

6/22 | 1.1-1.3 | What is Topology? Intro to Set Operations. Notes for first few chapters (is missing logic stuff like converses,etc. |

6/23 | 1.4-1.10 (skip section 8) | Countable and uncountable sets. |

6/25 | 2.12-2.13 | Topological Spaces. |

6/26 (x-hour) | HW | First problem session. |

6/27 | 2.14 | More bases. Sub-bases. |

6/29 | 2.15 | The order topology. The Product Topology (two factors). Subspace topology. |

7/2 | 2.16-17 | The subspace topology, ctd. Closed sets and limit points. |

7/3 (x-hour) | HW | Second Problem Session. Emily, Ethan, Jacob, Hayden, Caitlin, Patrick, and Kellie presented solutions. |

7/4 | Holiday | . |

7/6 | 2.17 | Limits, Sequences, and Hausdorff spaces. |

7/9 | 2.17 | Continuous functions. |

7/10 (x-hour) | HW | Third Problem Session. Sucharita, Kellie, Annie, Cooper, Jacob, and Vincent presented solutions. |

7/11 | 2.18 | The product topology. |

7/13 | 2.18-19 | Metric Topology. |

7/16 | 2.20-21 | Metric Topology, ctd. |

7/17 (x-hour) | HW | Fourth Problem Session. Erez, Paul, Gavin, Harrison, Sam, and Vincent presented solutions. |

7/18 | Exam | First midterm In-class solutions. Take-home solutions. |

7/20 | 3.23 | Finish Metric Spaces. Interlude on Quotient Spaces. |

7/23 | 3.24 | Connected Spaces. Connected subspaces of the real line. Density of the rationals and irrationals. |

7/24 (x-hour) | HW | Fifth Problem Session. Sean, Erez, Patrick (twice), Ethan, Hayden, and Joe presented Solutions. |

7/25 | 3.26 | Products of Connected Spaces. Path-Connected Spaces. |

7/26 | 3.27 | Compact spaces. Compact subspaces of the real line. |

7/30 | 3.28 | Products of Compact Spaces. |

7/31 (x-hour) | HW | Sixth Problem Session. Harrison, Jacob, Cooper, Vincent, Emily, and Ethan presented solutions. |

8/1 | 4.30 | Compact Hausdorff Spaces, Locally Compact Spaces, Heine-Borel Theorem. |

8/3 | 4.30-31 | Countability Axioms. |

8/6 | 4.32 | Regular and Normal spaces. |

8/7 (x-hour) | HW | Seventh Problem Session. Vincent, Ethan, Sean, Caitlin, Joe, and Paul presented solutions. |

8/8 | Exam | Second Midterm |

8/10 | 4.33 | Urysohn's Lemma. |

8/13 | 4.33-34 | Urysohn's Lemma, ctd. Prerequisite material for Urysohn's Metrization Theorem. |

8/14 (x-hour) | HW | Eighth Problem Session. Vincent, Cooper, Hayden, Kellie, Sam, and Sean presented solutions |

8/15 | 4.35 | Urysohn's metrization Theorem. |

8/17 | ??? | Tietze's extension theorem. |

8/20 | ??? | Intro to Differential Topology |

8/21 (x-hour) | HW | Ninth and Final Problem Session. Hayden, Vincent, Sean, and Emily. |

8/22 | ??? | The Fundamental Theorem of Algebra. |

8/25 | Exam | Final Exam |

Dan Crytser

Last updated June 17, 2015 12:57:08 EDT