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110.401 Advanced Algebra I - Fall 2006
Advanced Algebra I is the first part of an year-long course
devoted to the study of fundamental concepts of abstract algebra.
This first part develops, rather extensively, the theory of groups,
going through the notions of group, subgroup, normal subgroup, quotient
group, group homomorphism and group action. In the presentation
of group theory the instructor will also develop some essential aspects
of this theory most relevant to physics.
The course also concentrates on the theory of rings and ideals and in
particular
on the theory of polynomial rings. It is expected that students use
the textbook to
complement the lectures and the eventual documents placed on line
to obtain a thorough understanding of
the material.
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Prerequisite: |
Linear Algebra; 4.5 credits.
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Instructor: |
Prof. Katia Consani
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Office: |
Krieger 216 - Office hours: Monday 3-4PM and by
appointment.
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Meeting Times and location: |
MTW 11:00am - 11:50am (Maryland 310)
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Teaching Assistant: |
A. Banerjee; Office: MSE C81 - Office hours: TBA and by
appointment. (E-mail: abanerje@math.jhu.edu)
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Session Times and location: |
F 10:30am (Maryland 217)
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Text: |
David S. Dummit, Richard M. Foote Abstract
Algebra, Third edition
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Errata)
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Exams: |
There will be one in-class midterm exam on
Wednesday, October 25. The final exam is TBA,
and the place is TBA. EXAMS AND HOMEWORK SHOULD BE
WRITTEN WITH PEN (NOT PENCIL).
Old exams
Books and/or papers will not be permitted during exams.
There will be no make-up exams.
The Academic Advising Office provides letters for
excused absences. Anyone needing special arrangements for exams
must notify the instructor by the second week of classes. The TA will hand out the exams
in section, when they are graded.
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Homework: |
Homework assignments will be posted on this course website usually on
Thursdays and they will be collected, two weeks later, on section
meeting. Talk to your Teaching Assistant on how to
turn in a homework if you cannot go to class, but do not give it to
the instructor. The TA deals with the homework. On this web-page
you will find the sections from the text that you should be reading before to come
to class. The instructor will try to observe this pre-determined schedule.
It is important that you check regularly this
course webpage. Late homework will not be accepted. With an abstract
subject like this, it is very important to work out lots of problems. Homework is the essential
educational part of this course. You cannot expect to work problems on
exams if you have not worked lots of homework problems. Therefore, it is important
that you spend an adequate time on homework regularly, each week. You can work
together on the homework, but you should
always write up your own homework solutions in your own words.
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Grading: |
Your final grade will be based:
25% on the homework
25% on the Midterm Exam
50% on the Final Exam
and will be roughly determined according to the following criterium:
100-85%: A or A-
84-70%: B+ to B-
69-55%: C+ to C-
54-40%: D+ to D-
below 40%: F
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Announcements: |
The first session is scheduled on Friday September 15.
The instructor office hr. on Monday Oct. 2 is scheduled at 2-3PM.
The instructor office hr. on Monday Dec. 4 is postponed to Wednesday Dec 6 (3-4PM)
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