Math 361A Abstract Algebra

Math 361A Abstract Algebra

Spring 2007

Course Objectives: To introduce the ideas and methods of abstract (modern) algebra through the study of fundamental algebraic structures (groups, rings, integral domains, and fields); to relate abstract algebra to other areas of mathematics; to increase the student's ability to work with mathematical abstractions and to construct proofs. The topics covered are in Sections 0 - 11, 13 - 15, 18 - 23, 26, 27 of the text (plus additional sections as time permits).

Text: A First Course in Abstract Algebra (7th Edition) by John B. Fraleigh, Addison-Wesley, 2003.

Attendance Policy: Class attendance is a very important aspect of a student's success in this course. The student is expected to attend every class and is accountable for any missed classes.

Grading Policy: The grade in this course will be based on 3 in-class tests, homework assignments, short quizzes, attendance at 3 co-curricular lectures, and a comprehensive final examination. The weight given to each of these in determining the final grade is as follows:

Homework Assignments: At the end of each class several homework problems will be assigned to be turned in the next class period unless otherwise specified. You will receive one grade (up to 5 points) based on effort (did you make a reasonable attempt at the problems) rather than correctness. However a few of the problems (between one and three) will be graded for correctness (each will receive up to 5 points). On some (but not necessarily all) of these graded problems you will be given two tries. If a "two-try" problem is not perfect (logically correct and well-written) on the first try, it may be turned in again in the next class (after being returned to you) to be re-graded. Such a problem will not be given a grade on the first try; there will only be comments. You may be required to type the second try.

Late homework will not be accepted. Re-writes (the 2nd try) will be accepted up until 5 p.m. on the due date but not after that. Students may be called on to present some non-handin problems in class.

Quizzes: You will be given periodic (probably once a week) definition quizzes. These quizzes will be very short and will involve definitions, examples, and counterexamples. There will be no make-up quizzes. A missed quiz is a 0.

Co-Curricular Requirement: The Department of Mathematics, Computer Science, and Physics is offering a series of lectures designed to engage the campus community in discussions of ongoing research, novel applications, and other issues that face these disciplines. You are invited to attend all of the events but participating in at least three is mandatory. Within one week of attending an event you must submit a one page paper reflecting on the discussion. If you do not turn the paper in within the one week time frame you may not count that event as one you attended.

Make-up Policy: Everyone is expected to take tests, quizzes, and the exam at the scheduled time. No make-up quizzes will be given. Make-up tests will be given only for legitimate, documented absences and, if given, may be oral.

Academic Integrity: Students are expected to adhere to the Academic Integrity policies of RoanokeCollege. All work submitted for a grade is to be strictly the work of the student unless otherwise specified by the instructor. The polices as outlined in the Academic Integrity handbook will be strictly enforced in this course.