1 | Tue, Aug 31 | Introduction |

2 | Thu, Sep 2 | Logic and Proof |

3 | Tue, Sep 7 | Appendix B: Sets and Functions |

4 | Thu, Sep 9 | Appendix D: Equivalence Relations |

5 | Tue, Sep 14 | Appendix C: Induction |

6 | Thu, Sep 16 | Section 1.1: Division Algorithm |

7 | Tue, Sep 21 | Section 1.2: Divisibility |

8 | Thu, Sep 23 | Section 1.3: Primes and Unique Factorization |

9-10 | Tue, Sep 28 | Section 2.1-2.2: Congruence and Modular Arithmetic |

11 | Thu, Sep 30 | Section 2.3: $\mathbb{Z}_p$ when $p$ is prime |

12 | Tue, Oct 5 | Section 3.1: Rings |

13 | Thu, Oct 7 | Section 3.2: Basic Properties of Rings |

14 | Thu, Oct 14 | Section 3.3: Isomorphism and Homomorphism |

15 | Tue, Oct 19 | Section 4.1: Polynomials and Division Algorithm |

16 | Thu, Oct 21 | Section 4.2: Divisibility in $F[x]$ |

17 | Tue, Oct 26 | Section 4.3: Irreducibles and Unique Factorization |

18 | Thu, Oct 28 | Section 4.4: Polynomial Functions, Roots, and Divisibility |

19 | Tue, Nov 2 | Section 5.1: Congruence in $F[x]$ |

20 | Thu, Nov 4 | Section 5.2: Modular Arithmetic in $F[x]$ |

21 | Tue, Nov 9 | Section 5.3: $F[x]\left/p(x)\right.$ when $p(x)$ is Irreducible |

22 | Thu, Nov 11 | Section 6.1: Ideals and Congruence |

23 | Tue, Nov 16 | Section 6.2: Quotient Rings and Homomorphisms |

24 | Thu, Nov 18 | Section 7.1: Groups |

25 | Tue, Nov 23 | Section 7.2: Basic Properties of Groups |

26 | Tue, Nov 30 | Section 7.3: Subgroups |

27 | Thu, Dec 2 | Section 7.4: Isomorphisms and Homomorphisms & Putnam! |

28 | Tue, Dec 7 | Section 8.1: Congruence and Lagrange’s Theorem |

29 | Thu, Dec 9 | Section 7.5: Symmetric and Alternating Groups |