**Instructor's office hours:** MWF 1:30-2:30 in MS 7919

**Text:** *Principles of Mathematical Analysis*, 3rd edition,
by Walter Rudin. We will cover roughly
chapters 6-9 in the Winter. However, we will begin on page 108, doing the
part of chapter 5 that we did not get to in 131AH, and will
leave the latter part of chapter 9 to 131C. Many of the topics will be familiar
from the Calculus sequence, but now the emphasis is quite different.
While your Calculus courses were largely computational in nature,
this course emphasizes rigor and precision. We will use the
Calculus as a vehicle for learning how to construct careful
mathematical arguments (also known as proofs).

**Discussion sections:** The discussion sections are conducted by the
teaching assistant, and are an integral part of the course. They provide
an opportunity to have your questions answered on a more personal basis and
at greater length than is possible in the lecture. Particularly
in this course, there will often be aspects of solutions to exercises
that you will not have considered. You should take advantage of the
chance to ask questions that go beyond the particular problems that
were assigned that week.

**Homework:** It is practically impossible to learn mathematics
without doing a lot of problems. Therefore, it is extremely important that you do
the assigned problems carefully and promptly. Don't get behind! I will assign
homework each Wednesday. It will be due in the discussion section the
following Tuesday.
I expect that graded homework will be returned
to you a week later. You may discuss homework problems with
other students, the TA or me before they are turned in. In
fact, the right kind of discussion can be quite valuable.
I do expect two things, though: (i) you should try hard to do the exercise
yourself before discussing it with anyone, and (ii) you should
write up the solution yourself after understanding it thoroughly,
without following someone else's written version. Otherwise,
the homework does you no good. It is a very poor strategy
to "find out" from someone else how to do a problem, and
then turn in that solution. It may slightly help your
HW score, but the effect will be clearly visible (and
much larger and of the opposite sign) on the exam grades.

**Examinations:** There will be a midterm on
February 10,
and a final exam on Wednesday, March 17, 11:30-2:30.

**Grading:** The final grade will be based on the the exams
and homework with the following weights: Final (50%), Midterm (30%)
and homework (20%).

**MyUCLA:** I will use the MyUCLA grading program, so
that you can get homework and exam grades as soon as they
are available.