Math 113 Home Page
Meets: MWF 11:15 to 12:20
Monday, January 4,
There will be no class on Friday, January 15th.
Books on Reserve
In addition to Pedersen's Analysis
you can find the following books at the reserve desk in Baker Library:
- A course in
- Real and
- Real analysis
Grading and Assignments:
At heart, I think graduate courses should be taken and offered in the
spirit of scholarship. Therefore grades and grading should
play much, if any, role. Nevertheless, learning mathematics
requires "hands on" experience and the Department and Graduate office
require feed back. So there will be periodic homework
which I will do my best to grade and return in a timely manner.
Problems will range from routine to some that are very difficult.
You are welcome to get help from me or any other source.
Please note that at this point, your work should be correct.
Turning in work you don't believe in is inappropriate at this
level. Of course, students do make conceptual mistakes from
to time. However, when you turn an assignment in, you are
asserting that you believe that whatever parts of the problem you have
attempted are correct and articulate.
#1: Due Monday,
January 11th. [Corrected
Wednesday, January 20th. (Selected
now on, homework should either be LaTeXed in 12 point type or
handwritten on one side only of 8.5" x 11" paper with smooth edges.
In the case of handwritten work, please start each problem on
Wednesday, February 3rd. (Selected
- Here is a proof that a norm satisfying the parallelogram
induced by an inner product. The result is often called the Jordan-von
#4: Due Wednesday, February 17th. (Selected solutions here.)
- Some thoughts on taking an advanced graduate course.
Everyone learns differently, so I don't tell students --
graduate students anyway -- how to manage their courses. But
noticed that a few of you don't take notes. I find this
I am well aware that most of the time the course follows the book
pretty closely. But I certainly say more than is in the book,
often I say it differently or expand on points that Pedersen skips
over. But that is not the point. I find that taking
forces one to mentally process the material. Also, material
level can't be absorbed in one sitting. When I took courses in
graduate school, I not only took notes, but tried to find the time to
sort though them and actually copy them over filling in the bits that
puzzled me and sometimes even fixing bits that I will charitably say
that I copied down incorrectly. I still have those notes and
referred back to some of them during my career. This process
more important in an advanced course like Math 113 where I feel the
emphasis should be on learning as much as you can and NOT just enough
to do the homework. Going though your notes, filling in the
seeing if my "it is easy to see that''s are actually easy to see should
my opinion, as much a part of learning the material as doing the
- Homework #5: Due Wednesday, March 3rd. (Selected solutions here.)
- Once we finish with the Spectral Theorem for normal compact operators, we'll be following sections 2-4 of my notes on the Abstract Spectral Theorem from my web page.
- Homework #6: Due Wednesday, March 10th (in my mailbox or via email if you have a pdf).