MA 4163/6163 - Syllabus # Syllabus

### MA 4163/6163, January 12, 2015

**Meeting times and location:** MWF 12:00 - 12:50 pm, Allen 411

**Web page:** http://rwoodroofe.math.msstate.edu/ma6163/

**Introduction**

MA 4163/6163 covers group theory: the mathematical theory of symmetry. Topics include: definition and elementary properties of groups; basic structure results on normal subgroups, quotient groups, and homomorphisms; the Sylow Theorems; and composition series, chief series, and solvable groups.

**Prerequisites**

The prerequisite is MA 3163; or equivalent mathematical maturity and experience.

**My contact info:**

Dr. Russ Woodroofe |

Allen 418 |

Office hours: T 12:30-2pm, W 3-4pm + by appt |

rwoodroofe at math,msstate,edu |

**Textbook**

IM Isaacs, *Algebra: A Graduate Course*.

We will cover selected topics from Chapters 1 - 8, and may cover additional topics if time allows. I will update the schedule periodically with a record of the topics covered.

**Homework**

There will be a homework assignment almost every week.

If you are taking the course as 6163, you will typically have one or more extra problems assigned. (You should also attempt these if you are taking the course as 4163.)

**Collaboration**

I expect much of your learning to take place in working out the homework problems. While you may collaborate with other students on the homework, you should generally have thought hard about the problems on your own first. If you do collaborate substantially, then you should so indicate on your homework paper.

Your write-up should in any case represent your own solutions, written in your own words. Copying the solutions from another student or from an internet source is a violation of the Mississippi State Honor Code, and will be treated as such.

**Grading**

Your grade will be based on 2 in-class midterm exams and one final exam, together with weekly homeworks and possibly an occasional quiz, in the proportions

Midterm exams | 20% each |

Final exam | 30% |

Homework and quizzes | 30% |

I have scheduled the midterm examinations for February 23rd and April 8th.

The final is scheduled by the University for May 1st, 12:00 - 3:00 pm.

If you are taking the course Pass/Fail, you need to do the equivalent of C work to pass.