Students in this class were required to scribe lecture notes in order to gain experience writing mathematics. The lecture notes files are included courtesy the students listed below.

LEC # | TOPICS | LECTURE NOTES | SCRIBES / LECTURERS |
---|---|---|---|

1 | Introduction | ||

2 | The Condition Number | (PDF) (Courtesy of Steve Weis. Used with permission.) | Scribe: Steve Weis Lecturer: Daniel Spielman |

3 | The Largest Singular Value of a Matrix | (PDF) (Courtesy of Arvind Sankar. Used with permission.) | Scribe: Arvind Sankar Lecturer: Daniel Spielman |

4 | Gaussian Elimination Without Pivoting | (PDF) (Courtesy of Matthew Lepinski. Used with permission.) | Scribe: Matthew Lepinski Lecturer: Daniel Spielman |

5 | Smoothed Analysis of Gaussian Elimination Without Pivoting | (PDF) (Courtesy of Nitin Thaper. Used with permission.) | Scribe: Nitin Thaper Lecturer: Daniel Spielman |

6 | Growth Factors of Partial and Complete Pivoting Speeding up GE of Graphs with Low Bandwidth or Small Separators | (PDF) (Courtesy of Brian Sutton. Used with permission.) | Scribe: Brian Sutton Lecturer: Daniel Spielman |

7 | Spectral Partitioning Introduced | (PDF) (Courtesy of Michael Korn. Used with permission.) | Scribe: Michael Korn Lecturer: Shang-Hua Teng |

8 | Spectral Partitioning of Planar Graphs | (PDF) (Courtesy of Jan Vondrák. Used with permission.) | Scribe: Jan Vondrák Lecturer: Daniel Spielman |

9 | Spectral Parititioning of Well-Shaped Meshes and Nearest Neighbor Graphs Turner's Theorem for Bandwidth of Semi-Random Graphs | (PDF) | Scribe: Stephan Kalhamer Lecturer: Daniel Spielman |

10 | Smoothed Analysis and Monotone Adversaries for Bandwidth and Graph Bisection McSherry's Spectral Bisection Algorithm | (PDF) | Lecturer: Daniel Spielman |

11 | Introduction to Linear Programming von Neumann's Algorithm, Primal and Dual Simplex Methods Duality | (PDF) (Courtesy of José Correa. Used with permission.) | Scribe: José Correa Lecturer: Daniel Spielman |

12 | Strong Duality Theorem of Linear Programming Renegar's Condition Numbers | (PDF) (Courtesy of Arvind Sankar. Used with permission.) | Scribe: Arvind Sankar Lecturer: Daniel Spielman |

13 | Analysis of von Neumann's Algorithm | (PDF) (Courtesy of Nitin Thaper. Used with permission.) | Scribe: Nitin Thaper Lecturer: Daniel Spielman |

14 | Worst-Case Complexity of the Simplex Method | (PDF ) (Courtesy of Brian Sutton. Used with permission.) | Scribe: Brian Sutton Lecturer: Daniel Spielman |

15 | The Expected Number of Facets of the Convex Hull of Gaussian Random Points in the Plane | (PDF) | Scribe: Mikhail Alekhnovitch Lecturer: Daniel Spielman |

16 | The Expected Number of Facets of the Convex Hull of Gaussian Random Points in the Plane (cont.) | (PDF) (Courtesy of Mikhail Alekhnovitch. Used with permission.) | Scribe: Mikhail Alekhnovitch Lecturer: Daniel Spielman |

17 | The Expected Number of Facets of the Shadow of a Polytope Given by Gaussian Random Constraints | (PDF) (Courtesy of Steve Weis. Used with permission.) | Scribe: Steve Weis Lecturer: Daniel Spielman |

18 | The Expected Number of Facets of the Shadow of a Polytope Given by Gaussian Random Constraints: Distance Bound | Scribe: Stephan Kalhamer Lecturer: Daniel Spielman | |

19 | The Expected Number of Facets of the Shadow of a Polytope Given by Gaussian Random Constraints: Angle Bound and Overview of Phase 1 | (PDF) (Courtesy of Matthew Lepinski. Used with permission.) | Scribe: Matthew Lepinski Lecturer: Daniel Spielman |