## Abstract Algebra I, MTH 310-002

# Schedule and Homework Assignments

L | Date | Section | HW |

1 | 9/2 | Division | Due 9/4: Read the SyllabusDue 9/4: Read Sections 1.1 and 1.2from the Notes Due 9/11: Homework 1 |

2 | 9/4 | Divisibility, GCDs, LCMs | Due 9/9: Read Book Sections 1.1 -- 1.3 |

9/7 | Labor Day - no class | ||

3 | 9/9 | GCDs, LCMs, Primes | Due 9/11: Read about theEuclidean Algorithm again |

4 | 9/11 | Primes, FactorizationHomework 1 Due! | Due 9/18: Sec 1.3 -- 4, 9, 10, 12a, 15,16, 22, 25, and Sec 2.1 -- 3, 5, 6 |

5 | 9/14 | Primes, Factorization | Due 9/16: Read Book Section 2.1 |

6 | 9/16 | Congruence and Modular Arithmetic | Due 9/18: Read Book Section 2.2 |

7 | 9/18 | Congruence and Modular ArithmeticHomework 2 Due! | Due 9/21: Read Book Section 2.3Due 9/25: Sec 2.1 -- 10, 13, 23, 27, 31,Sec 2.2 -- 2, 7, 8, 10, and Sec 2.3 -- 1, 3, 6 |

8 | 9/21 | Congruence and Modular Arithmetic | Due 9/23: Read Chapter 12 |

9 | 9/23 | RSA Cryptography | Due 9/25: Read Section 3.1 |

10 | 9/25 | RingsHomework 3 Due! | Due 9/28: Read Book Section 3.2Due 10/2: Sec 2.3 -- 10, 11, 13, Ch 12 -- 4,and Sec 3.1 -- 1, 2 (Explain WHY it is/isn't commutative/a field), 9, 11, 13, 14, 15, 16 |

11 | 9/28 | RingsLast full day to dropwith a full refund. | Due 9/30: Review Definitions inSec 3.1 and Sec 3.2 |

12 | 9/30 | Rings | Due 10/2: Read Section 3.3 |

13 | 10/2 | IsomorphismsHomework 4 Due! | Due 10/9: Sec 3.1 -- 18, 19, 24, 28, andSec 3.2 -- 1, 3, 5, 12, 17, 30 |

14 | 10/5 | Isomorphisms | Study! |

15 | 10/7 | Homomorphisms | Study! |

16 | 10/9 | Midterm Exam 1Homework 5 Due! | Due 10/12: Read Section 4.1 |

17 | 10/12 | Polynomial Arithmetic | |

18 | 10/14 | Polynomial Division | Due 10/16: Read 4.2 |

19 | 10/16 | Polynomial Divisibility | Due 10/23: Sec 3.3 -- 5, 14, 16, 28, 39,and Sec 4.1 -- 1, 4, 7, 8, 12, 18 |

20 | 10/19 | GCDs and LCMs | Due 10/21: Read 4.3 |

10/20 | Last full day to dropwith no grade reported. | ||

21 | 10/21 | Irreducible Polynomials | Due 10/26: Read 4.4 |

22 | 10/23 | FactorizationHomework 6 Due! | Due 10/30: Sec 4.2 -- 3, 4, 5d, 5e, 14, 15and Sec 4.3 -- 1, 5, 6, 9, 12 |

23 | 10/26 | Roots and Reducibility | Due 10/28: Read 5.1 |

24 | 10/28 | Congruence in F[x] | Due 10/30: Read 5.2 |

25 | 10/30 | Congruence-Class ArithmeticHomework 7 Due! | Due 11/6: Sec 4.3 -- 18, 19, Sec 4.4 --4, 5, 11, 15, 17, 25, and Sec 5.1 -- 1, 2, 3 |

26 | 11/2 | F[x] / (p(x)) | Due 11/4: Read 5.3 |

27 | 11/4 | F[x] / (p(x)), p(x) irreducible | Due 11/6: Do these practice problems. |

28 | 11/6 | Extension FieldsHomework 8 Due! | Due 11/13: Sec 5.1 -- 7, 8, 11, 12,Sec 5.2 -- 6, 9, 14, and Sec 5.3 -- 1, 5, 9, 11 |

29 | 11/9 | Ideals | Due 11/11: Read 6.1 |

30 | 11/11 | Ideals | Study! |

31 | 11/13 | Midterm Exam 2Homework 9 Due! | |

32 | 11/16 | Quotient Rings | Due 11/18: Read 6.2Due 11/25: Sec 6.1 -- 1, 2, 3, 7, 11, 17, 35,and Sec 6.2 -- 4, 5, 11, 15 |

33 | 11/18 | Quotient Rings | Due 11/20: Read 6.3 |

34 | 11/20 | Maximal Ideals | Due 11/25: Read 7.1 |

35 | 11/23 | Groups | Due 11/25: Read 7.1 |

36 | 11/25 | GroupsHomework 10 Due! | Due 11/30: Read 7.2Due 12/4: Sec 6.2 -- 17, 18, 23, 32, andSec 7.1 -- 1, 3, 6, 9, 16, 21 |

11/27 | Thanksgiving Break - no class | ||

37 | 11/30 | Properties of Groups | |

38 | 12/2 | Properties of Groups | Due 12/4: Read 7.3 |

39 | 12/4 | OrderHomework 11 Due! | Due 12/11: Sec 7.2 -- 2, 3, 7, 12, 14,19, 26, 31 and Sec 7.3 -- 1, 2, 6 |

40 | 12/7 | Subgroups | Read 7.3 |

41 | 12/9 | Subgroups | |

42 | 12/11 | Final ReviewHomework 12 Due! | Study! |

E | 12/17 | Final Exam12:45 pm -- 2:45 pm | Enjoy Break! |