Analysis I 18.100B

Special Annoucement
In lieu of a review session XTRA office hours
Tuesday and Wednesday 5-6 either in 2-255 or my office

Lectures:

There are three `sections'

Changing sections:

The three sections will cover roughly the same material from Rudin's book however
there will be no attempt to coordinate the sections so change early.

Note that the discussion here is about my section only.

Text:

Principles of Mathematical Analysis by W. Rudin. This is probably your
first exposure to a real mathematics book. It is terse and very efficiently
written. You can't read it like a novel. When you read it , have a pencil
and paper handy and try to work through what is being said yourself.

The course

This course has two purposes. First of all it is your first exposure to real analysis.
Real here meaning the real numbers (as opposed to the complex numbers). We will
study first of all properties of the real numbers. Sequences and series, etc. Then we
will discuss properties of functions. Differentiation and integration. In other words
calculus done right. There will be many challenging problems.

The second purpose of the course to learn how to read and write proofs.

When you do the homework you should bear both purposes in mind. Some
of the problems will be quite challenging and will take a fair amount of time to
figure out the answer others you will find easy. In either case after you have sorted
out how to answer the question you should think about how to present the solution in
a clear, logical, manner. This will serve you well in any endeavor that you pursue
in the future.

Tutoring

The tutoring room hours are M-R 3-5 and 7:30-9:30 (except for student holidays).
All sessions are held in 2-102. Most sessions are intended primarily for introductory classes,
however, the sessions on
M 3-5 and W 7:30-9:30
are intended for students in upper-level pure-math classes as well such as 18.100B.
The tutors will _try_ to help during other times as well (time-permitting).

Grading, homework, exams

Link to latest homework assignment

Homework Homework and Tests
This will mostly be from the exercises in Rudin. I will hand out a sheet
each Thursday (it will be here too) which will be due the following Thursday
at the beginning of class. Late homework
is not allowed. I will drop one or two homework grades from your total so don't freak
out it you can't get them all done on time. It should be returned the
following Tuesday.
Exams
I plan to have two in-class tests. These are mainly intended to give you
an idea of how you are doing. THERE WILL BE A FINAL EXAM -- BUT
see also
Grades
Here is the scheme. Your grade will be computed two different ways, the
actual grade you get will be the higher of the two
Method 1
G=(H/HMAX)x40+(T/TMAX)x30+(E/EMAX)x30
Here H=Homework total, T=In-class test total and E=Final exam total.
Method 2
G=(E/EMAX)x100.
The idea here is to let you blow the whole semester thinking that you
can always ace the final.

In previous courses there has been little difference between the grades
from the two methods. In either case the general idea is that the basic
letter grades will correspond to

I hope not to see any D and not too many C's either. \end{document}