MATH 241 Syllabus, Fall 2017

American University of Beirut Department of Mathematics Fall 2017-2018 SYLLABUS Course: Math 241 Title: Introduction to Abstract Algebra . — . Li a Textbook : A First Course in Abstract Algebra . by J. Fraleigh, 7 ecition- Reference: Topics in Algebra, by I. N. Herstein, ged edition. Dr. Hazar Abu-Khuzam ( Bliss Hall 314, phone 4220, e-mail: hazar@aub.edu.|b) Monday, Wednesday, & Friday 11-00 — 11:50 AM, or by Appointment. Professor: Office Hours: Contents : Groups: Definition and Examples, Elementary Properties of Groups, Subgroups, Cyclic Subgroups, Cyclic Groups and Generators, Permutation Groups , Cayley’s Theorem , Cosets and the Theorem of Lagrange, Normal Subgroups and Factor Groups, Homomorphisrns, Isomorphism Theorems, Automorphisms, Sylow Theorems (brief), Direct Products Rings: Definitions, Examples, and Basic Properties, Homomorphisms and Ilsomorphisms, Fields, Integral! Domains, The Characteristic of a Ring, Fermat’s Theorem, Fundamental Homomorphism Theorem, Ideals, Factor (Quotient) Rings, Prime and Maximal Ideals. (Material from Sections: 1.4, 1.5, 1.6, 1.8, 11.9, 11.10, 11.11, 111.13, M14, W115, TH1.16, IV.18, IV.19, [V.20, V.26, V.27, VIL36 and notes. Grading Policy: Midterm Exam 30 % Homework, Classwork, & attendance 20 % Final Examination 50% Homework problems will be assigned in class. Attendance and Homework are required Exam Date: Midterm Exam: Monday, October 30, 2017 at 6:00 pm (location to be ann Final Exam : As scheduled by Registrar’s office -