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Prerequisites. MAS 3105 (Applied Linear Algebra I) and prior experience with mathematical proofs
from MGF 3301 (Introduction to Advanced Mathematics) or MAD 2104 (Discrete Mathematics I) or other proof-based courses
(in this last case, instructor permission is required).
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Text. Abstract Algebra -- An Introduction by T. W. Hungerford (2nd edition).
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Course Content and Objectives.
A first approach to the subject of algebra, which is one of the basic pillars of modern mathematics. The focus of the course will be the study of certain algebraic
structures and in particular "rings", which are the
modern generalization of structures such as the set of ordinary integers.
We will do as much of Chapters 1 through 7 of the textbook as time permits. The abstract
topics to be covered include rings, fields, ideals, quotient rings, rings
homomorphisms, and time
permitting, basic theory of groups. The objective of the course is to get a solid foundation in the
topics mentioned above.
These topics will be introduced concretely via the integers, polynomial rings, and congruences.
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Grading There will be weekly homeworks,
several short quizzes, two unit tests, and a final.
The dates for the quizzes will be announced in class about a week
ahead of each quiz. The dates for the unit tests are tentatively
June 5 and July 10, to be held during the lecture time. The
precise dates will be confirmed and announced
in class before the second week of classes. The final
will be held in the last lecture of the semester on July 31.
Your work will be weighed as follows: homeworks - 5%, quizzes -
15%; first unit test - 23%; second unit test - 27%;
final - 30%.
You will get to drop one (your worst) quiz grade and homework grade.
A grade of I
will not be given to avoid a D or an F, or to provide additional study time.
Failure to process a course drop will result in a course grade of F.
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Exam Policy. No makeup exams will be given. An absence from
a quiz or test may be excused if the student presents sufficient evidence
of extenuating circumstances and gets permission BEFORE the quiz/test
(unless it is an emergency).
Absences from tests or quizzes due to family
social events will not be excused. If a test absence is excused, the
final exam grade will be used in its place. For an excused quiz absence,
the average of the rest of the quiz grades will be used.
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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 holy days, 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:
(1) register with and provide documentation to the Student Disability Resource Center; and
(2) 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),
sdrc@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.
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