The topics covered in each class will be given in the table below, along with the corresponding sections of the notes.

Date | Notes | Topics |
---|---|---|

Jan 10 | 1.1–1.3 | The symmetric group, partitions and compositions, graded rings |

Jan 12 | 1.3, 1.4 | Graded rings (cont.), formal power series |

Jan 17 | 1.4, 2.1, 2.2 | Formal power series (cont.), symmetric polynomials, symmetric functions |

Jan 19 | 2.2 | Symmetric functions (cont.), tableaux, elementary symmetric functions |

Jan 24 | 2.3 | Elementary symmetric functions (cont.), homogeneous symmetric functions |

Jan 26 | 2.4, 2.5 | Homogeneous symmetric functions (cont.), power sums |

Jan 31 | 3.1 | Alternating functions |

Feb 2 | 3.2 | Schur functions, Jacobi–Trudi identities |

Feb 7 | ||

Feb 9 | ||

Feb 14 | ||

Feb 16 | ||

Feb 21–25 | Reading week | |

Feb 28 | ||

Mar 2 | Midterm test | |

Mar 7 | ||

Mar 9 | ||

Mar 14 | ||

Mar 16 | ||

Mar 21 | ||

Mar 23 | ||

Mar 28 | ||

Mar 30 | ||

Apr 4 | ||

Apr 6 | Review |