**TITLE:** Introductory Abstract Algeba 2

**CLASS TIME and ROOM:** TR 2:00pm-3:20pm, Forkas Alumni Center 103 (Boca Campus)

**TEXT:** *Abstract Algebra* 3rd ed. David S. Dummitt & Richard M. Foote, 2004 (ISBN 978-0-471-43334-7)

**PROFESSOR:** Dr. Warren Wm. McGovern

**OFFICE & PHONE:** SE 217 MSC & 6-8028 (easier to contact by email)

**E-mail: **warren.mcgovern@fau.edu ; **http://home.fau.edu/wmcgove1/web/
**

**OFFICE HOURS:** Tuesday after class, Thursday before class

**PREREQUISITES:** MAS 5311 or permission by instructor

**CONTENT:** Continuation of MAS 5311. Groups, subgroups, and homomorphisms, the Sylow theorems, the structure theorem
for finite abelian groups, elementary theory of fields and polynomial rings, the fundamental theorem of Galois theory.

This is the second semester of a two semester sequence in Introductory Abstract Algebra. One of the goals of this sequence is to prepare the
student to pass the Ph.D. Qualifying Exam in Algebra.

Algebra Exam: group theory, Sylow theorems, the structure of finitely-generated abelian groups, ring theory, Euclidean rings, UFDs, polynomial rings, vector spaces, modules, linear transformations, eigenvalues, minimal polynomials, matrices of linear transformations, Galois theory, and finite fields.

During the year long sequence We will cover Chapters 1-5, 7-9, and 13-14 while excluding 9.6 and 14.9.

For copies of old Qualifying Exams in Algebra click Sample Algebra Exams

**CLASS STRUCTURE:** The class will be mostly run in a lecture style format though the instructor encourages discussions
and questions concerning the material. Some days will be used for collaborative efforts. A detailed list will be kept on Blackboard
and my webpage. Though the homework will only occassionally be collected and graded, the student is expected to
do all the problems as this will aid in the student's understanding of the material.
Please feel free to come to office hours if you have additional questions about the homework.

**ATTENDANCE POLICY:** Regular attendance is expected. If a student misses a class meeting it is
his/her responsibility to obtain the class notes either from another student or from the instructor
during regularly scheduled office hours. All exams will be taken as scheduled, unless prior arrangements
are made, with at least 48 hours of advance notice. I, and only I, have the right to agree to giving a makeup exam.

**EXAM SCHEDULE:** There will be some pop quizzes, one mid-term exam, and a final examination. The mid-term will take place
during the regurlarly scheduled class time on the following dates unless othrwise noted.

March 1st | Thursday | Mid-Term Exam |

May 1st | Tuesday, 1:15pm-3:45pm | Final Exam |

**EVALUATION:** Throughout the course the student will have opportunities to gain and lose points. The most common examples of gaining points (but not limited to) are through the pop quizzes, homework promlems, tests, final exams, extra-credit problems,
and class participation. The most common examples of losing points (but not limited to) are not taking a quiz, test, or final, or an unsatisfactory attendance record. At the end of the semester if the student's (net) point total is greater than or equal to
90% of the total possible number of points then the student will have earned an A. The rest of the grades are as follows 80%-90% B, 70%-80% C, 60%-70% D, below 60% F.

**Collaboration and the Honor Code:** You are expected to adhere to the Honor Code (see http://www.science.fau.edu/chemistry/chemlab/General/HONOR%20CODE.htm). You must document all sources.

**DISCLAIMER:** The instructor reserves the right to change/alter/add/delete any statement from this syllabus in hopes of creating a more enjoyable/equitable course.