This course is a first course in Abstract Algebra requirement. The content covers structures such as groups, rings, and fields. This course satisfies the abstract requirement for the 6-12 math teaching endorsement in Virginia.

This class requires online virtual class meetings, Monday and Wednesday, 4:30-5:50 pm. It also requires completing assignments on a fixed weekly schedule, with some mid-week deadlines, and online collaboration in group assignments. You will need high speed internet access with speakers & a microphone or headset.

Prerequisite: MTH 174 or permission of instructor.

If you do well in this course, you will be able to:

• Define the basic terms of abstract algebra:  group, subgroup, isomorphism, normal subgroup, homomorphism, ring, integral domain, and field.
• Determine whether a given structure is a group, a field, or a ring, as appropriate.
• Given two groups, determine if they are isomorphic, homomorphic, or if one is a subgroup of the other.
• Illustrate group behaviors using finite groups, cyclic groups, and permutation groups.
• Illustrate ring, field, or integral domain behaviors using appropriate models.

In addition to the text, you will need a calculator without internet access (so it can be used in the testing center).

Possible Assignments Include: (Subject to change each semester. The actual assignments are available in the Syllabus in the Blackboard course site on the first day of classes.)

Your final grade may be based on the following scale. Please note that you must also pass at least two exams in order to pass the course, regardless of your scores on the other assignments.

There are 3 paper (not online) exams in this course.

Last Updated: June 29, 2011