This is the syllabus for Math 312. Here are links for Lecture Notes and Assignments
Instructor
Course
Office Hours
Office hours will be held outside Jamrich near the Wildcat on nice days and online always.
Course Description
Math 312 is an introduction to modern abstract algebraic systems and their applications. The course will focus on a rigorous treatment of the basic theory of groups (subgroups, quotient groups, homomorphisms, isomorphisms, group actions) and their applications.Prerequisites
C or better in Math 211 and Math 163.Textbook
The textbook we will use for this course Contemporary Abstract Algebra by Joseph Gallian. I will use the Ninth Edition, which is available at the University Bookstore or online
Attendance
Regular attendance is expected. Important dates can be found here.
Drop Date
If you need to drop the course, look here.
Homework
Grading
Project
You are to complete a class project. Here is list of topics. The end of each chapter of the text lists some ideas or you may suggest your own.
- Part I: 3-5 page paper, website, animation or online demonstration
- Part II: 10 minute presentation on your topic (poster or slideshow is recommended)
- You can work alone or in groups.
- You may talk to anyone about the paper but the writing must be your own.
- The writing center may be helpful.
- Deadline to submit topic: October 25
- Deadline to submit annotated bibliography: October 25
(A list of sources (at least two), with descriptions of why you're using them) - Deadline to submit rough draft: November 11
- Deadline to submit final paper/product: November 20
- The project will be worth 100 points. Grading will be based as follows:
- 10 points : Submitted paper topic on time
- 5 points : Submitted annotated bibliogrphy on time
- 10-points : Submitted rough draft on time
- 25 points: Paper exposition
- 50 points: Paper content
Exams
Technology
I first learned Abstract Algebra about 15 years ago and I would have loved to have some of the computer generated graphics and computing power available today. Check out the Group Explorer for starters.
On the Take-Home Midterms and Exams, you are NOT allowed to use the internet.
Other Resources
Some popular video lectures on Abstract Algebra: [Socratica, Math Doctor Bob]Both free and paid tutoring is available, in the tutoring lab in JMR 2nd floor.
Outcomes and Assesment
Upon successful completion of this course students will be able to:
Evaluation of these learning outcomes will be done through a mix of assignments, class exercises, projects, research papers, group work, written & oral quizzes and tests.
Course Description
This course will cover most of Parts 1 and 2 text. We will study groups, subgroups and various classes such as cyclic and permutation groups. We will construct homomorphisms and isomorphisms of groups and use these to classify finite abelian groups.
Academic Honesty: Cheating is not only unethical and pathetic, but is a violation of the Northern Michigan University Student Code and University Policy and grounds for your dismissal from the University.
Discrimination & Harassment: Northern Michigan University does not unlawfully discriminate on the basis of race, color, religion, national origin, gender, age, height, weight, martial status, handicap/disability, sexual orientation or veteran status. If you have a civil rights inquiry, contact the Affirmative Action Office at 906-227-2420.
Americans with Disabilities Act Statement: If you have a need for disability-related accommodations or services, please inform the Coordinator of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (227-1737 or disserv@nmu.edu). Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.
The Registrar: Withdrawing from any course or any matters relating to registration are the responsibility of the student. For more information regarding this topic, check out the Registrars Website.