## Instructor

Prof. Marco Varisco,
mvarisco@albany.edu
(how to email a professor),
www.albany.edu/~mv312143/

Office: ES-120C,
Office Hours: TuTh 8:45–10:05, Tu 1:15–2:35, or by appointment.

## Schedule

TuTh 10:15–11:35 in PH-123.

## Prerequisite

AMAT 220 and AMAT 326. [University Bulletin]

## Description

“Basic concepts of groups, rings, integral domains, fields.” [University Bulletin]

## Textbook

*Abstract Algebra*, I.N. Herstein. Third Edition, Wiley, 1996.

## Grading & Examinations

- 50% – Quizzes.
- 20% – Midterm Exam, Tuesday, March 27, 10:15–11:35 in PH-123.
- 30% – Final Exam, Wednesday, May 16, 1:00–3:00 in PH-123.

Homework exercises will be assigned during each class and posted below, but they will not be collected.

There will be a quiz at the beginning of each and every class, mostly consisting of questions from the homework and statements of definitions/theorems. The four lowest scores will be dropped, and no make-up quizzes will ever be given.

When calculating your course grade there is one more rule: if your quiz score is an E then your course grade is an E; in this case your midterm and final exam scores will be ignored.

Students enrolled in the Writing Intensive version of this course
(327**Z**) are additionally required to submit
complete, correct solutions to a list of selected homework problems
that will be given in class and posted below.

Of course, you are expected to follow the University’s Standards of Academic Integrity.

Date |
Homework |
Quiz |
---|---|---|

Th 1/19 | Review the core material from AMAT 326, as discussed in class. | — |

Tu 1/24 | 1.5.1, 1.5.2, 1.5.4. | — |

Th 1/26 | 1.5.6, 1.5.7, 1.5.8, 1.5.13. | quiz #1 |

Tu 1/31 | 1.3.1, 1.3.2. | quiz #2 |

Th 2/02 | 1.3.5, 1.3.6, 1.3.7, 1.3.9, 1.3.10. | quiz #3 |

Tu 2/07 | Complete the composition table for S, 1.4.8, 1.4.9, 1.4.10, and 3.1.1(a/b/c), 3.1.2(a/b/c)._{3} |
quiz #4 |

Th 2/09 | 2.1.1, 2.1.4, 2.1.8, 2.1.9, 2.1.14, 2.1.15. | quiz #5 |

Tu 2/14 | Disprove that in any group G if a*b=c*a then b=c. |
quiz #6 |

Th 2/16 | Complete and review all previous assignments. | quiz #7 |

Tu 2/21 | 1.6.1, 1.6.2, 1.6.8, and 2.1.19, 2.1.20. | quiz #8 |

Th 2/23 | 2.1.18, 2.2.1. | quiz #9 |

Tu 2/28 | Prove that (Z_{n},+) is an abelian group and that (Z_{n},·) is not a group. |
quiz #10 |

Th 3/01 | — | quiz #11 |

Tu 3/06 | 2.3.2, 2.3.3, and 2.3.4. What is Z(S? What is _{3})Z(GL?_{2}(R)) |
quiz #12 |

Th 3/08 | 2.3.5, 2.3.6, 2.3.7, 2.3.13, 2.3.14, 2.3.16. | quiz #13 |

Tu 3/20 | Complete and review all previous assignments. | quiz #14 |

Th 3/22 | Complete and review all previous assignments. | quiz #15 |

Tu 3/27 | Retake the Midterm Exam. | — |

Th 3/29 | Retake the Midterm Exam. | — |

Tu 4/03 | 2.4.1, 2.4.2, 2.4.3. | quiz #16 |

Th 4/05 | 2.4.5, 2.4.6, 2.4.7, 2.4.9. | quiz #17 |

Tu 4/10 | 2.4.11, 2.4.12, 2.4.26. | quiz #18 |

Th 4/12 | 2.5.12, 2.5.16. | — |

Tu 4/17 | 2.6.7, 2.6.8, 2.6.12, 2.6.13. | quiz #19 |

Th 4/19 | Complete and review all previous assignments. | quiz #20 |

Tu 4/24 | 2.5.1, 2.5.6, 2.5.7. | quiz #21 |

Th 4/26 | 2.5.14, 2.5.15, 2.5.27. | quiz #21 |

Tu 5/01 | 2.7.6. | quiz #22 |

Th 5/03 | Complete and review all previous assignments. | quiz #23 |

Problems for Writing Intensive requirement (327**Z**):
1.5.4, 1.3.6, 1.3.7, 1.6.1, 2.1.8, 2.1.18, 2.2.1, 2.3.4, 2.3.13, 2.5.7, 2.5.27, 2.6.12, 2.6.13, and 2.7.6.