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MAT 5100 -- Graduate Abstract Algebra -- Fall 2017

This syllabus is tentative and should not be considered definitive. The instructor reserves the right to modify it to meet the needs of the class. It is the student responsibility to attend class regularly and to make note of any changes. Be sure you check the class website for sections covered on the exams, homework problems and announcements.

Catalog Description

Credit Hours: 4; Introduction to the study of groups, rings, and fields.

Prerequisites

MAT 3530 and MAT 4760 or permission of instructor.

Textbook
  • We will be covering chapters 9-12 out of "Abstract Algebra" by Thomas W. Hungerford.
  • As reference we will also be using "Abstract Algebra: Theory and Applications" by Thomas W. Judson. The online 2017 edition with Sage can be found here. There is also a Sage quick reference card here.
  • As reference we will sporadically be using "Advanced Modern Algebra" by Joseph J. Rotman.
Course Objectives
  • Commutative Rings
  • Insolvability of the Quintic
  • Fundamental Theorem of Galois Theory
  • Finite Abelian Groups
  • The Sylow Theorems
Exam Information

There will be a midterm exam and a final exam. The dates and sections covered will be posted here. Your instructor will grant make-up exams to students for properly verified absences due to illness, emergency, participation in an official University activity, or participation in volunteer emergency work.

Tentative Schedule

  • Week 1: Chapter 9
  • Week 2: Chapter 9
  • Week 3: Chapter 9
  • Week 4: Chapter 10
  • Week 5: Chapter 10
  • Week 6: Chapter 10
  • Week 7: Chapter 10; Midterm
  • Week 8: Chapter 11
  • Week 9: Chapter 11
  • Week 10: Chapter 11
  • Week 11: Chapter 11
  • Week 12: Chapter 12
  • Week 13: Chapter 12
  • Week 14: Chapter 12
  • Week 15: Chapter 12

Homework and Quizzes

Homework , including Sage projects, will be assigned weekly, to be posted on this page. There will also be quizzes that will count towards homework points. Homework, quiz, and exam scores can be found in D2L . Before attempting the homework problems, you are expected to read the sections carefully. You are strongly encouraged to discuss homework problems with your instructor, and to work with your fellow classmates. However, you are expected to write up your own solutions. All homework assignments must be typeset in LaTex with the problems in order and organized by section. The first two homework assignments may be handwritten. There will be a LaTex Workshop TBA, more details to come. LaTex is installed in the computer labs Old Main 3041 and 3013, or it may be installed on your laptop. Click here for some resources.

Solutions to most of the odd problems are in the back of the book,
I encourage you to at least attempt them.
Section Problems Due Dates
HW HW Template, in LaTeX and in PDF.
Click here for sample files from a previous LaTex Workshop. You may also use overleaf.com.

HW 1 Suggested: 7.2 #'s 9, 10, 13, 24, 25, 31, 34;
7.3 #'s 11, 12,16, 19, 21, 33, 34, 35, 39, 43
Collected: 7.3 #'s 44, 51
Fri 1 Sept
Quiz 1 9.1 #'s 4, 5, 9, 13, 22, 24, 34, 36
9.2 #'s 3, 12, 15, 16, 19, 20, 23
Fri 8 Sept
Sage HW 1 Visit MAT 5100 Fall 2017 Project in sagemathcloud.com Wed 13 Sept
HW 2 9.2 #'s 14, 24; 9.3 #'s 3, 5, 7, 11, 12, 15, 16, 19, 20, 24; collected: 9.2 #23, 9.3 #16, 20. Fri 15 Sept
Quiz 2 9.4 #'s: 1a, 6, 7, 8, 12, 16, 18, 19, 21, 22 Fri 22 Sept
HW 3 3.1: 8, 10, 12, 13, 22, 39, 40; 3.2: 27, 37, 39, 43, 46;
3.3: 8, 29, 34
Fri 29 Sep
Quiz 3 4.1: 6, 17, 21, 10; 4.2: 4, 14; 4.3: 5, 7, 16; 4.4: 13, 24, 25; 5.1: 4, 5, 9; 5.2: 6, 8, 11; 5.3: 2, 7, 8, 10 Fri 6 Oct
Sage HW 2 Visit MAT 5100 Fall 2017 Project in sagemathcloud.com Wed 11 Oct
HW 6.1 #'s 43, 46; 6.2 #'s 11, 16; 6.3 #'s 3, 11, 20;
10.1#'s 3, 4, 5, 7, 8, 10, 25, 26, 27; 10.2 #'s 4, 6, 11, 12; 10.5 #'s 1, 7, 8
Midterm TBA Fri 20 Oct
HW 11.1 #'s 18, 20, 22, 23, 31, 37, 38, 39
HW 4 11.2 #'s: 3, 11, 13, 17, 19, 20, 22, 23
collected:
Fri 3 Nov
Quiz 4 11.3 #'s 3, 6, 7, 8, 9, 11, 17, 18, 19
11.4 #'s 2, 3, 5, 6, 7, 12, 14, 17, 23
11.5 #'s 1, 7, 9, 10, 11, 13, 15
Fri 10 Nov
HW 5 12.1 #'s 3, 5, 6, 9, 10, 13, 14, 16, 17 Fri 17 Nov

Course Grade

Your course grade will be determined using the following distributions:

    Midterm Exam100
    HW and Quizzes100
    Final Exam100
    total possible points300

You are guaranteed a grade of:

    Aif you earn at least 270 points (90%)
    Bif you earn at least 240 points (80%)
    Cif you earn at least 210 points (70%)
    Dif you earn at least 180 points (60%)
    Fotherwise
Attendance

Students are expected to attend class meetings as scheduled. When an absence does occur, the student is responsible for the material covered during the absence. When possible, the student should notify the instructor in advance of an anticipated absence.

Course and Instructor Evaluations

During the last few weeks of the semester, you will be provided an opportunity to evaluate this course and your instructor. Your feedback is vital to improving education at Eastern Illinois University. I strongly urge you to participate in the evaluation system.

Accommodations for Students with Disabilities

Click here to view information regarding accommodations.

Academic Dishonesty

Eastern Illinois University faculty and students commit themselves towards maintaining a culture of academic integrity and honesty. Click here to view the Student Code of Conduct. Violations will be reported to the Office of Student Standards, which can result in a failing grade for the course.

Student Success Center

Students who are having difficulty achieving their academic goals are encouraged to contact the Student Success Center. The center provides individualized consultations for assistance with time management, test taking, note taking, avoiding procrastination, setting goals, and other skills to support academic achievement.

Take Care of Yourself

Diminished mental health, including significant stress, mood changes, excessive worry, or problems with eating and/or sleeping can interfere with optimal academic performance. The source of symptoms might be related to your course work; if so, please speak with me. However, problems with relationships, family worries, loss, or a personal struggle or crisis can also contribute to decreased academic performance. Know that help, if needed, is available.

EIU provides cost-free mental health services through the Counseling Center to help you manage personal challenges that threaten your personal or academic well-being. Visit them on the first floor of the Human Services Building, Monday through Friday from 8:00 am-4:30 pm. You may also contact them at 217-581-3413. For after-hours emergencies, contact their emergency number at 217-549-6483.

If you are uncomfortable seeking on-campus services, LifeLinks in Mattoon offers mental health services. Although they charge fees for some services, they have a no-cost toll free Crisis Line (866-567-2400); when a caller phones the toll free number, they are immediately connected to a trained crisis clinician. There is no cost for this service, and it is available 365 days per year, 24 hours per day.

Remember, getting help is a smart and healthy thing to do - for yourself and for your loved ones.