|Homework Assignments||Return to Home Page|
|Fall 2008||MAT351.01 MWF 1:30|
|Kevin J. Carlin|
Office: Fo 113 M-F 2:30-3:45
All of the work for a particular homework assignment should be kept together. Because you will work on the same homework topic at different times, you will need a ring binder and a supply of loose-leaf paper. If you use the same binder for class notes, use a separate section for your homework. Spiral-bound notebooks will not be accepted when the journal is collected.
When we go over a problem in class, compare the class notes to your own work in the journal. If there is a mistake, add a note to yourself explaining what went wrong. After class, work from the correction and see if you can finish the problem on your own.
To prepare for quizzes or exams, you should practice by doing whole problems. These practice problems should be included in the homework journal. Concentrate on the general techniques that you will need for the topic rather than trying to memorize a particular homework problem.
When you need help, bring your homework journal with you to my office hours or to the Academic Support Center.
Groups: binary operations, isomorphism, identities and inverses, group axioms, abelian groups, powers, subgroups, order, cyclic groups, generators, direct products, finitely generated abelian groups.
Permutations and Cosets: permutations, symmetry groups, Cayley’s Theorem, cycles, the symmetric group, the alternating group, left and right cosets, Lagrange’s Theorem.
Homomorphisms: images and kernels, normal subgroups, factor groups, the fundamental theorem, conjugation, simple groups, the center and commutator subgroups.
Rings and Fields: ring axioms, homomorphisms and isomorphisms, commutative rings, fields, zero divisors, integral domains, fields of quotients, rings of polynomials, factor rings, prime and maximal ideals.
and Homework Journal
|Best 4 @ 20 points||80|
|Exams||2 @ 100 points||200|
|Final Exam||1 @ 120 points||120|
Grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.
Make-up of any graded work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my discretion. Unexcused absence from any exam will result in a failing grade for the course.
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