Analysis I:18.100B (Fall 2013), TTh 2.30-4, Rm 4-237
Instructor:
Pavel Etingof, Rm E17-430, e-mail
etingof@math.mit.edu
Office hours:
T 4-5,
F 2-3
Office hours of Cesar Cuenca (Teaching Assistant)
Monday 7-8, Rm E17-133
Text:
Principles of Mathematical Analysis by W. Rudin
The course:
The main aim of the course is to get across the basic language of
mathematics. In particular, we do prove things. The material is, to
a large extent, the same as `calculus', which is to say "the
analysis of functions of a real variable". However we do this
through the fundamental concept of a metric space; it will take
about half the semester to get this sorted out. In the second
half of the semester we go back and examine the notions that you
already `know' of differentiability of functions and integration.
The course will cooperate with 18.100C, covering the same
material, and using the same midterm and final exams (but
different homeworks). As a result, students from 18.100B can
go to 18.100C lectures, and vice versa. However,
in two weeks each student should decide which lectures he/she is
attending.
Grading, homework, exams
Homework
This will mostly be from the exercises in Rudin. I
will assign the problems on this
website each Tuesday. The solutions will be
due the following Tuesday in class. The graded solutions will be
returned a week later.
It is allowed to cooperate when solving homework, but then you
should give names of your collaborators,
and are expected to understand ALL the details of
the solution. Also, although 18.100B and 18.100C will cooperate,
every student in 18.100B
must do the 18.100B homework, and NOT the one from 18.100C.
Exams
There will be two 1.5-hour midterm exams and a
final 3-hour exam. The dates and times of the exams are
Thursday, October 10 and Thursday, November 7, 7:30-9pm. The
midterm exams will
be held jointly with 18.100C, and the lecture the same day
will be canceled. All exams
are open-book: you can use books, class notes, but NOT
homework solutions or any kind of electronic devices (except
watches). This means that you cannot use an electronic version
of the textbook during the exam (but we will have extra
copies of the book available for you).
Grades
Your final score will be computed
using the formula G=(H/HMAX)x40+(M/MMAX)x30+(F/FMAX)x30
Here H=Homework total, M=midterm total and F=Final total.
The final grade will be a
(nondecreasing) function of the
final score.