Math 411

Introduction to Abstract Algebra I

Fall Semester 2009 (Section 2)

** Catalog Description**
Introduction to groups, rings, fields, vector spaces, and related
concepts. Emphasis on development of careful mathematical
reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of
instructor.

**Instructor:** Dr. Farshid
Hajir. Office: Lederle Graduate Research Tower
1118. Phone: 545-6015.

e-mail:
* hajir@math.umass.edu*
web: http://www.math.umass.edu/~hajir

**Office Hours:** Currently, M W 2-3 and by appointment.
After the first two weeks, I may change the hours to suit student demand.

**Meeting coordinates:** LGRT 113 Tu,Th 1:00-2:15pm.

** Text:**
Algebra: Pure and Applied, by Aigli Papantonopoulou

** Homework:** Homework will be due generally once a week,
usually on Thursdays. Please check the Homework
Page for details.

** Course Content:** This semester we will study the theory of
groups, which plays an important role in many areas of mathematics.
In number theory some of the most fundamental relations between
numbers, such as divisibility, are best described in the language of
groups. In geometry, groups are used to study the symmetries of
objects. There are also important practical applications to
cryptography, computer science, chemistry, and physics.

**Grading**: HW and Quizzes (30%), Midterm Exam I (20%), Midterm
Exam II (20%), Final Exam (30%).

** Quizzes:** I might occasionally give an unannounced quiz.
For such a quiz, the questions will be very similar to those from
homework sets that had already been turned in.

** Exams:** The midterms (covering TBD) will take
place on DATE TBD in ROOM TBD.
Do not miss the
exams. Make-up exams will be given only in exceptional circumstances.
The date and time for the final are to be determined.
**Grading:**

homework, quizzes, participation - 30%

2 midterms - 20% each

Final exam - 30%

A |
>= 93% |

A- |
>= 90% |

B+ |
>= 86% and < 90% |

B |
>= 82% and < 86% |

B- |
>= 78% and < 82% |

C+ |
>=74% and < 78% |

C |
>= 70% and < 74% |

C- |
>=65% and <70% |

D |
>=60% and < 65% |

F |
below 60% |

** Tentative Course Schedule:**

Week 1 (9/9):

Week 2 (9/14,16):

Week 3 (9/21,23):

Week 4 (9/28,30):

Week 5 (10/5,7): [MIDTERM I TH OCT ?? in class]

Week 6 (10/12,19):

Week 7 (10/19,21):

Week 8 (10/26,28):

Week 9 (11/2,4):

Week 10 (11/9,11):

Week 11 (11/16,18):[MIDTERM II TH NOV ?? in class]

Week 12 (11/22,23):

Week 13 (11/30,12/2):

Week 14 (12/7,9):

FINAL EXAM TBD.