Math 311
Spring 2006
Course
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Instructor: Michael Joyce
- Office: Gibson 421
- Phone: 862-3444
- E-mail: mjoyce@math.tulane.edu
- Office Hours: T 1:00 - 3:00, W 10:00 - 11:00, or by
appointment
Meeting Time: MWF 11:00 - 11:50
Location: Boggs 240 (not Newcomb 2)
Course content: This course introduces students to the study of
abstract algebraic structures. We will begin by reviewing and studying
some concrete examples: integers, rational numbers, real numbers,
complex numbers, clock arithmetic, polynomials, symmetries of geometric
objects such as equilateral triangles and cubes. These concrete examples
will motivate the main algebraic structures that we will study: rings,
fields, and groups. The ultimate goals of the course are to familiarize
students with abstract thinking (including writing logically correct
mathematical proofs) and to help them learn how to apply the abstract
concepts studied to some fun and interesting examples.
Textbook: Abstract algebra: a geometric approach by Theodore
Shifrin
Attendance: Students are expected to attend all class meetings.
Homework: Homework will be assigned on a regular (weekly) basis.
Your grade on homework assignments will constitute 30% of your overall
grade.
Project: I am tentatively planning on assigning one "project"
toward the end of the semester. This will be a longer and slightly more
challenging homework assignment, based in part on material in the textbook
not covered in class that you will have to read on your own. This project
will count for 10% of your final grade. (If I decide not to assign a
project, homework assignments will count for 40% of your final grade.)
Exam: There will be one in-class exam, tentatively scheduled for
March 24. The exam will count for 25% of your final grade. There will
not be a makeup exam.
Final Exam: The final exam will be held on Sunday, April 30 from
11:30 AM until 2:30 PM. You must take the final exam at the scheduled
time. The final exam will count for 35% of your final grade.
Academic honesty: All students are expected to comply with the
Honor Code of
the Liberal Arts and Sciences. I take academic honesty very
seriously and will take appropriate steps regarding all perceived
violations.