# AMAT 327(Z): Elementary Abstract Algebra, Spring 2012

## 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.

• 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 (327Z) 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 Th 1/19 Homework Quiz Review the core material from AMAT 326, as discussed in class. — 1.5.1, 1.5.2, 1.5.4. — 1.5.6, 1.5.7, 1.5.8, 1.5.13. quiz #1 1.3.1, 1.3.2. quiz #2 1.3.5, 1.3.6, 1.3.7, 1.3.9, 1.3.10. quiz #3 Complete the composition table for S3, 1.4.8, 1.4.9, 1.4.10, and 3.1.1(a/b/c), 3.1.2(a/b/c). quiz #4 2.1.1, 2.1.4, 2.1.8, 2.1.9, 2.1.14, 2.1.15. quiz #5 Disprove that in any group G if a*b=c*a then b=c. quiz #6 Complete and review all previous assignments. quiz #7 1.6.1, 1.6.2, 1.6.8, and 2.1.19, 2.1.20. quiz #8 2.1.18, 2.2.1. quiz #9 Prove that (Zn,+) is an abelian group and that (Zn,·) is not a group. quiz #10 — quiz #11 2.3.2, 2.3.3, and 2.3.4. What is Z(S3)? What is Z(GL2(R))? quiz #12 2.3.5, 2.3.6, 2.3.7, 2.3.13, 2.3.14, 2.3.16. quiz #13 Complete and review all previous assignments. quiz #14 Complete and review all previous assignments. quiz #15 Retake the Midterm Exam. — Retake the Midterm Exam. — 2.4.1, 2.4.2, 2.4.3. quiz #16 2.4.5, 2.4.6, 2.4.7, 2.4.9. quiz #17 2.4.11, 2.4.12, 2.4.26. quiz #18 2.5.12, 2.5.16. — 2.6.7, 2.6.8, 2.6.12, 2.6.13. quiz #19 Complete and review all previous assignments. quiz #20 2.5.1, 2.5.6, 2.5.7. quiz #21 2.5.14, 2.5.15, 2.5.27. quiz #21 2.7.6. quiz #22 Complete and review all previous assignments. quiz #23

Problems for Writing Intensive requirement (327Z): 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.

This syllabus is subject to change. All official announcements and assignments are given in class, and this web page may not be up to date.
Marco Varisco — May 3, 2012.