21-131 ANALYSIS
Fall 2004, MWF 11:30   SH 220

PROFESSOR: Irene Fonseca
                         Office - WeH 6123
                         Email - fonseca@andrew.cmu.edu
                         Office Hours -  MW 1:30 to 2:30 or by appointment

TEACHING ASSISTANT: Spas Bojanov
              Section A T-Th 8:30-9:20 SH220
              Section B T-Th 9:30-10:20 SH220

TEXTBOOK: T. M. Apostol, CALCULUS, Vol. I, Second Edition, Wiley Publ.,
1967 (parts 3 and 4 of the Introduction and most of the first five chapters).

COURSE DESCRIPTION:
This course is intended to be better preparation for advanced mathematics course work than the regular Calculus course. Analysis I covers the basic contents of differential and integral calculus of functions of one variable. The goal is to reach a more even balance between algorithmic and conceptual components than is achieved in the course Calculus 1 (21-121).
In this course not only we will achieve a fluency in manipulative skills of calculus, e.g. calculation and application of derivatives and integrals, but also we will derive rigorously some  properties of derivatives and integrals that support the calculations and applications. A thorough development in depth of the subject will not be attempted in the hope that the student will not be bogged down in detail.  

GRADING POLICY:
Homework is an essential component of the learning process.
Working the exercises will force you to learn the work, and your graded homework will give some feedback on your progress. You are strongly advised to attempt all of the homework problems (although only some will be graded), as well as some additional problems of your own choice.

60% - average of 4 hour-tests in lecture

20% - final exam

20% - homework (partly granted on the basis of effort)

TEST DATES:
      
Test 1: Friday, September 24

Test 2: Wednesday, October 20

Test 3: Friday, November 19

Test 4: Monday, December 6

MAKE-UP TESTS: Will be given only in the case of a documented medical excuse, a
university-sanctioned absence (e.g., participation in a varsity sporting event),
or a family emergency. Please see me at the earliest time possible to schedule a
make-up. Make-up exams may be oral.

No collaboration is permitted on the tests.
On homework, collaboration is allowed subject to the following:

a) you may discuss homework problems with fellow students and with instructors in
order to get help on various parts of a problem, but you may not simply copy
someone else's solution;

b) when you do use someone else's ideas, cite the source(s) clearly on your
written solution and indicate at which step(s) of your solution you have used that
source. In summary, for the homework, copying the work of others is not allowed,
but using the ideas of others, with proper citation, is permitted.

ASSIGNMENTS:Due every Tuesday (unless announced otherwise).

PDF files will be available at
http://www.math.cmu.edu/~fonseca/