Math 3230  –  Spring 2018
Abstract Algebra I

 

 
Instructor: David Gross
Phone: 860-486-1292
Email: david dot gross at uconn dot edu
Office hours: M 10-11, T 2-3, Th 2:30-3:30, and by appointment via AdvApp (advapp.uconn.edu → Choose Math → login with NetID → follow directions → … → David Gross) in MONT  224 (inside the Admin Suite MONT 217).
Course info:
Lecture T/Th 9:30-10:45 in MONT 314.
Midterms: Tentatively scheduled for March 1 (Thursday) and April 19 (Thursday).
Final: TBA, week of Apr. 30
 
Quick Links: 1st Day Survey,   Homework,   Prof. Conrad's Writing Tips,   Getting Started with LaTeX and some References
Exam 1 Review,   Exam 1 Practice Questions
Textbook: Dan Saracino, Abstract Algebra, A First Course, Second Edition Waveland Press
textbook
Prerequisites: A grade of C or better in either Math 2142 or 2710 with a recommended prepartation: Math 2210 or 2144

A lot of the postings on these pages will be PDF documents  If you cannot read PDF documents, you can download Acrobat Reader for free.

Make-Up Policy:
No make-ups for quizzes, midterms exams will be given. If you miss an exam and can show proof of some officially acceptable reason, E.g.: a verifiably documented medial excuse or a conflicting official university sanctioned activity that cannot be rescheduled, then I will redistribute the weight of that exam or quiz elsewhere.

Final Exam:
If you have an issue with the Final Exam, as scheduled by the Registrar's office, then see the Dean of Students Office right away. Issues that they will help you with are bunched exams, religious observance, previously scheduled medical appointments, court date, ... the list goes on. With exceptions of immediate medical emergencies and other unforeseeable and unavoidable situations, The Dean of Students has a deadline to handle all final exam reschedulings ‒ which is sometime in the 11th or 12th week of the semester.

Syllabus:
This is the first part of a two-semester course on Abstract Algebra. This course gives an introduction to the theory of groups with an emphasis on the development of careful mathematical reasoning. Among the topics covered in the course are cyclic groups, dihedral groups, permutation groups (symmetric and alternating groups), subgroups, cosets and congruences, conjugacy classes, normal subgroups, quotient groups, matrix groups, homomorphisms and isomorphisms, Cauchy's theorem, Sylow Theorems. We will cover most sections 1-15 of the textbook.

This course will be quite different from other math courses you have taken so far. We will work through many new definitions and concepts and most of them are rather abstract. We will develop many theorems and their proofs, and you will write plenty of proofs yourself in homework assignments and exams.

It is essential that you work on the material outside the classroom. Carefully read the textbook before coming to the lecture and use pencil and paper to work through the material, study the examples and fill in omitted steps in the text.

Homework:
Homework will be posted at the end of this page and will be due every two weeks starting Jan. 25. They will be done in student groups - we'll talk about this more in the first week of class. Homework must be on letter-size paper only and multiple pages must be stapled together. As a general rule, I will NOT accept any LATE HOMEWORK, but I will drop the problem set with the lowest grade when I compute the final homework grade.

Grading Scheme: Homework, quizzes, 2 midterm exams and a comprehensive final exam
Homework
20 % lowest homework grade dropped
Quizzes
10 % lowest quiz grade dropped
Midterm 1
20 %

Midterm 2

20 %

Final Exam

30 %

My Assumptions:

How to succeed:

Integrity and Academic Misconduct:
A fundamental tenet of all educational institutions is academic honesty. Academic work depends upon respect for and acknowledgement of the work and ideas of others. Misrepresenting someone else's work as one's own or helping someone misrepresent themselves is a serious offense in any academic setting and it will not be condoned. For more information about academic misconduct and the sanctions and other remedies that can be imposed, please see Appendix A of the Student Code.

Addtional Issues:
If you are a Student Athlete, please come see me - don't expect your CPIA counselor to contact me. If you have a physical or learning disability and registered with the CSD, please come see me - don't expect your CSD counselor to contact me. If there are certain days you can't be in class due to religious observance, please come see me and let me know. If you have accessibility issues, please come see me - I will work to alleviate that as best I can.



Due Week of Homework Assignments & Other Information
1. Jan. 15
2. Jan. 22 Assignment 1.
3. Jan. 29 Mon., Jan. 29, last day for Add/Drop
4. Feb. 5 Assignment 2.
5. Feb. 12

6. Feb. 19 Assignment 3   and   Orbits of Sn, and Thm: No permutation can be both even and odd .
7. Feb. 26

8. Mar. 5
9. Mar. 12
It's Spring Break!!
10. Mar. 19
11. Mar. 26
12. Apr. 2
13. Apr. 9
14. Apr. 16
15. Apr. 23
16. Apr. 30
Final Exam Week