Course work

Grades will be based on assigned work and class interaction and participation.
Please attend and participate actively in class by asking and answering lots of questions!

We'll have homeworks, a midterm and a final exam. Grades will be based on assigned work and class interaction and participation. A probable breakdown of grades is:
final 30%, homework 30%, midterm 30%, class participation 10%.

There is a lot of material to cover, and I expect to go pretty fast. Expect each assignment to take more than a couple of days to complete. We are all adults here, and it is your responsibility to come up with a system that works for you.


Topics

Axioms extract
  • Measure theory on Euclidean space;
  • Integration, including convergence theorems;
  • Differentiation and FTC;
  • Abstract measure theory.


On the textbook

By all accounts, S&S is a great series. Nonetheless, there are several other useful texts out there, some of which are:
  • Rudin: three different texts, now regarded as classics;
  • Royden: also a classic, but a bit limited now;
  • Folland: a standard one-volume text;
  • Hunter & Nachtergaele: emphasis on applications;
  • Tao: has two UG texts and an intro to Measure Theory; see his blog.
I'll likely refer to some of these, particularly Folland, during the semester.


Your Responsibilities

Please ask questions in and out of class. Remember that we learn best by doing, and so help your colleagues out as much as you can (with hints and discussion, not copies of solutions). Please let me know if you are falling behind, and I'll give the best advice and encouragement I can.

Please let me know in advance of any special circumstances which may prevent you from attending classes. Although I do want you to work together and help each other out, everything you turn in must be your own work! You are expected to know the difference between shared and copied work (including over the internet). Please be courteous to and considerate of your colleagues.

I will not tolerate cheating of any kind. Should I discover attempts to cheat, I shall pursue disciplinary measures.