ABSTRACT ALGEBRA 1
BASICS: CRN 80618
Credits: 3
Meeting Time(s): Tue/Thu 3:30 - 4:45
Meeting Dates: Aug 22nd thru Nov 30
Room: Whitaker 131
Instructor: Tom Beatty
Book: Contemporary Abstract Algebra by Gallian (5th ed)
CONTACT INFO:
Office: Whitaker 221
Phone: x7217
e-mail tbeatty@fgcu.edu
Office Hours: TBA
WEB: http://itech.fgcu.edu/faculty/tbeatty/index.htm
OBJECTIVES:
GENERAL: This course is an introduction to algebra viewed as a theory of the structure of mathematical systems. We will devote most of our time to the theory of groups, since that is a foundation for the more complicated structures (rings, fields, vector spaces) studied in Abstract Algebra 2. We will pay particular attention to the historical context of group theory and its relationship to the classical problem of the solution of equations.
SPECIFIC: Students will be expected to understand the basic theory and applications of the following:
(1) group axioms / types of groups
(2) subgroups / cosets / order / Lagrange's Theorem
(3) homomorphisms / isomorphisms
(4) direct products
(5) normal subgroups / factor groups
(6) 1st, 2nd, and 3rd Isomorphism Theorems
(7) Fundamental Theorem of Finite Abelian Groups
(8) Sylow Theorems
(9) group generators and relations
(10) introductory Galois Theory / Fundamental Theorem of Galois Theory
(11) basics of rings, ideals, integral domains, and fields
EXAMS & GRADING:
Course grade will be based on:
Progress test #1 (in-class, closed book) 30%
Progress test #2 (in-class, closed book) 30%
Final (take-home) 40%
Grading Scale: (intervals are of the form [a,b))
A 93 up
A- 90 to 93
B+ 87 to 90
B 80 to 87
B- 77 to 80
C+ 74 to 77
C 67 to 74
C- 64 to 67
D 60 to 64
F 0 to 60
Grading will allow partial credit. No extra credit is available. Test N counts for Test N-1 if Test N-1 is missed.
Final cannot be missed for grade this semester.
Incompletes will require advance written justification. Withdrawals are the sole responsibility of the student.
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HOMEWORK, ATTENDANCE, & PREPARATION:
There will be written homework assignments from time to time (see Assignment Calendar). These will not be collected, but they may be discussed in class. A test question may be exactly a homework problem, and it is permissible to hand in such a previously completed homework problem as part of a test, with the obvious advantage of saving time and, hopefully, ensuring correctness. There will be reading assignments which the student will be expected to complete on schedule to facilitate class discussion. Attendance is optional, but we will adhere to a pace that will make catching up difficult, so you really don't want to miss a class unless there is an unavoidable situation. Students who notify the instructor via e-mail prior to a missed class will find it beneficial.
ADAPTIVE SERVICES POLICY:
Florida Gulf Coast University, in accordance with the Americans with Disabilities Act and the University’s guiding principles, will provide classroom and academic accommodations to students with documented disabilities. If you need to request an accommodation in this class due to a disability, or you suspect that your academic performance is affected by a disability, please contact the Office of Adaptive Services. The Office of Adaptive Services is located in Howard Hall, room 137. The phone number is 590-7956 or TTY 590-7930.
ACADEMIC INTEGRITY POLICY:
All issues relating to academic honesty will be strictly governed by the code adopted by the University (see your Student Handbook).
CLASSROOM EXPERIENCE:
Students are encouraged to ask good questions at appropriate moments, to give their reasonably undivided attention, and their fellow students the courtesy of minimal distractions. Students who can't resist the urge to have impromptu discussions with their neighbors are candidates for coming to the front of the class to explain homework problems. Cell phones need to be turned off. A soft drink or candy bar is fine, but try to avoid portable banquets. If we are in a computer classroom, please suppress the desire to use the computer for purposes unrelated to the class.
TB 08-20-06