ALGEBRA

Mathematics 316   Fall 2009

TTh 3:30-4:45    Lippitt 204

 

Instructor: Prof. W. Kook                                                                          

Office: Lippitt 101F                                                                                          Phone: 874-4421

Office hours: TTh 9:45-10:45, or by appointment                                    email: andrewk@math.uri.edu

                                                                          

TEXT: A First Course in Abstract Algebra by John B. Fraleigh.

COURSE: In this course we will cover most of the first six chapters of Fraleigh.  We will cover roughly one section of the text book per lecture.  Some sections will require two or more lectures.  Make sure to read the text before class.  Topics to be covered in this course are elementary number theory, permutations, groups, subgroups, homomorphisms and factor groups, rings, ideals and factor rings, fields, and extension fields. 

GRADING: Your course grade will be based on homework and quizzes (25%), three midterm exams (45%), and a comprehensive final exam (30%) .  See below for details.

HOMEWORKS: A weekly assignment will be given each Thursday and due before class the following Thursday. It is crucial to keep up with the course by working all assigned problems.  I strongly recommend working on the homework problems over the weekends and ask about any you cannot solve during the classes. Late homeworks will not be accepted, but the lowest homework grade will be dropped. Verbal discussion among students is allowed, but you must write your own solutions, understand them and give credit to your collaborators.

QUIZZES: There will be short quizzes in class. They will be based on selected homework problems and examples presented during the lectures.  You may use your notes and books for the quizzes.

EXAMS: There will be three in class midterm exams.  The dates of the midterm exams will be announced later.  The midterm exams count for 45% of your course grade.  If you have to miss a midterm exam, you must talk to the instructor in advance to arrange a make up.  (Make-ups are given only in the most compelling situations.)  The final exam, which counts for 30%  of your course grade, will be a comprehensive exam covering all of chapters 1-6 of Fraleigh.  I will give you more information about the final exam near the end of the semester.  DO NOT MISS THE FINAL EXAM.  All exams are closed book and notes are not allowed. 

Other recommended references are

á         A First Course in Abstract Algebra by Joseph Rotman

á         Topics in Algebra by I.N. Herstein

á         Algebra by Thomas Hungerford. 

á         Galois Theory by Joseph Rotman

Illness Due to Flu

The H1N1 Flu Pandemic may impact classes this semester. If any of us develop flu-like symptoms, we are being advised to stay home until the fever has subsided for 24 hours. So, if you exhibit such symptoms, please do not come to class. Notify your instructor of your status via email, and we will work together to ensure that course instruction and work is completed for the semester.

The Centers for Disease Control and Prevention have posted simple methods to avoid transmission of illness. These include: covering your mouth and nose with a tissue when coughing or sneezing; frequently washing your hands to protect from germs; avoiding touching your eyes, nose and mouth; and staying home when you are sick. For more information, please view http://www.cdc.gov/flu/protect/habits.htm . URI information on the H1N1 will be posted on the URI website at www.uri.edu/news/h1n1.html with links to http://www.cdc.gov site.