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Schedule.
- Class will meet on Tuesday, Thursday at 12:30 p.m.–1:10 p.m. in LOV 201.
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Prerequisites.
- Graduate standing, or permission by the instructor.
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Text.
- The main reference will be:
Paolo Aluffi, Algebra: Chapter 0, Graduate Studies in Mathematics, Volume 104, American
Mathematical Society.
As an additional textbook, the following:
Serge Lang, Algebra, Fourth Ed., Springer,
is a classic, and very well worth consulting. Many other possibilities exist, and students are encouraged to
make appropriate use of the University Libraries and online resources.
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Course Content.
- The topics to be covered are roughly as follows:
- Sets and categories (basic and advanced notions)
- Groups
- Rings and modules
- Irreducibility and factorization in integral domains (depending on time)
which correspond to the fist five chapters of the book.
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Course Objectives.
- The course focuses on advanced aspects of algebra. As part of a three-semesters long
sequence, the main objective of this course is to introduce students to a fully comprehensive view of the
foundations of Algebra from a modern point of view.
The material to be covered in this course roughly corresponds the first half of the qualification exam in
Algebra. Hence another main objective of this course is to fully prepare students for the Qualifier
Exam.
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Attendance.
- Students are expected to attend class regularly. A student absent from class bears the full
responsibility for all subject matter and information discussed in class. (See however below for more details
about our global University Attendance Policy.)
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Grading.
- Your grading will be determined by your performance in two midterm exams and a final
exam.
Grades will be given in the standard letter scale A, B, C, etc. for all exams as well as for the final cumulative
course grade. All three exams will contribute to that grade, with the final carrying more weight than the two
midterms. Here is an explanation:
The midterms, but especially the final, are going to be qualifier-level tests. Therefore a truly outstanding or
anyway very good performance in the final will be taken as a serious indicator for granting an exemption from
the Qualifier Exam in Algebra. Hence, such an outstanding performance in the final will carry enough weight
to determine a course grade compatible with such an exemption, therefore equal or higher than A-.
Conversely, a relatively poor performance in the final can be offset by a relatively good one in the
midterms, but not to the extent of granting a final grade compatible with the exemption, hence up to
B+.
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Homework.
- Homework will be assigned as a way of suggesting problems to work on, but it will not be
graded—Students are expected to work out problems as part of their study routine, regardless of whether the
problems are graded. An effort will be made to discuss some problems in class to illustrate the material,
therefore you are encouraged to ask questions in class. It is reasonable to expect that students actively
participate in these discussions.
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Exams.
- There will be two midterm and a final exam. Dates for the midterms will be communicated in due
course.
The final exam date is on Thursday, Dec. 11, 3:00–5:00 p.m., same location as class meetings.
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University Attendance Policy.
- Excused absences include documented illness, deaths in the family and other
documented crises, call to active military duty or jury duty, religious holidays, and official University activities.
These absences will be accommodated in a way that does not arbitrarily penalize students who have a valid
excuse. Consideration will also be given to students whose dependent children experience serious
illness.
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Academic Honor Policy.
- The Florida State University Academic Honor Policy outlines the University’s
expectations for the integrity of students’ academic work, the procedures for resolving alleged
violations of those expectations, and the rights and responsibilities of students and faculty members
throughout the process. Students are responsible for reading the Academic Honor Policy and for living
up to their pledge to “...be honest and truthful and ...[to] strive for personal and institutional
integrity at Florida State University.” (Florida State University Academic Honor Policy, found at
http://dof.fsu.edu/honorpolicy.htm.)
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Americans With Disabilities Act.
- Students with disabilities needing academic accommodation
should:
- register with and provide documentation to the Student Disability Resource Center; and
- bring a letter to the instructor indicating the need for accommodation and what type. This should
be done during the first week of class.
This syllabus and other class materials are available in alternative format upon request. For more information
about services available to FSU students with disabilities, contact the: Student Disability Resource
Center
874 Traditions Way
108 Student Services Building
Florida State University
Tallahassee, FL 32306-4167
(850) 644-9566 (voice)
(850) 644-8504 (TDD)
sdr@admin.fsu.edu
http://www.disabilitycenter.fsu.edu/
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Syllabus Change Policy.
- "Except for changes that substantially affect implementation of the evaluation
(grading) statement, this syllabus is a guide for the course and is subject to change with advance
notice.”