This site is where to go for all information about this class, including assignments. Blackboard will only be used for the online grade book and for posting the textbook.
First semester of an integrated, two-semester theoretical course in abstract and linear algebra, studied on an axiomatic basis. The major algebraic structures studied are groups, rings, fields, modules, vector spaces, and inner product spaces. Topics include homomorphisms and quotient structures, the theory of polynomials, canonical forms for linear transformations and the principal axis theorem. This course is required of all students majoring in mathematics.
For most lectures there will be a reading assignment. The lecture will begin with a (very) short quiz based on the reading (so don't be late!). After each lecture, there will be homework problems based on the reading and lecture material, due at the beginning of the next class meeting.
There will be no make-up quizzes and late homework will not be accepted. If unusual circumstances arise and you contact me in a timely manner, then we can discuss alternative arrangements.
Throughout this class, you need to explain your answers even when the problem doesn't explicitly ask for a proof; this typically means writing in complete English sentences. When deciding how much detail to include, here's the standard to keep in mind: your solution to a problem should be complete and clear enough that one of your classmates, who has paid attention in class but hasn't thought about that specific problem yet, could read your solution and understand exactly how it works. If you only try to convince me that you understand the solution, then you almost certainly won't write enough.
Students may work together on homework. However, each student must figure out how to write up his or her own solution to be turned in. That means for example that you and a friend may figure out together how to prove a statement, but the written-out proofs you turn in should not be verbatim copies of each other.
Reading assignments and homework problems will be posted on this page (again: not on Blackboard).