**9/1/10:** | Intro to algebraic structures; symmetries of the square |

**9/3/10:** | More on symmetries of a square; some review from Chapter 0 |

**9/8/10:** | Practice with Chapter 0; outline of proof that GCD is a Linear Combination |

**9/10/10:** | Intro to Groups |

**9/13/10:** | More Practice With Groups |

**9/15/10:** | Still More Practice With Groups |

**9/17/10:** | Order of Groups, Order of Elements, and Intro to Subgroups |

**9/20/10:** | Using the 2-Step Subgroup Test; Finite Subgroups; Cyclic Subgroups |

**9/22/10:** | Cyclic Subgroups, Subgroups generated by more than one element, Centers |

**9/24/10:** | Centers and Centralizers; Classifying All Groups of Order 4 |

**9/27/10:** | Cyclic Groups |

**9/29/10:** | More on Cyclic Groups: Using the FToCG |