## Course information for Math 411, fall 2008

**Possible syllabus**

Below is an outline of the course. The textbook is the third edition
of Rudin's *Principles of Mathematical Analysis*. There will be 2
exams in class, and students will be notified about them at least a
week in advance. I do notice that the sum of exams plus the lectures
suggested is 25. There are 28 class meetings, but my best guess now
(before the semester begins) is that we will *not* finish all of
the first 7 chapters. We (students included!) may discuss homework
solutions in some classes, etc. We likely will only begin chapter 7
and so progress more slowly than last year's instantiation of Math
411.

I strongly suggest you glance at the chapter contents before class
discussion of the material begins, and that you then seriously read
each chapter as the class discussion continues. I also suggest that
you look at most of the problems in each chapter. At least understand
the questions (just this is sometimes not so easy!). Even if you are
not required to write solutions and hand them in, you may want to
consider how to solve many of the problems.

Chapter number and title | Number of lectures
planned | Homework problems | Due date |

1 The Real and Complex Number Systems | 2 Done in
only 3.5 |
First assignment | 9/15/2008 |

2 Basic Topology | 3 |
| |

3 Numerical Sequences and Series | 4 |
| |

4 Continuity | 3 |
| |

5 Differentiation | 4 |
| |

6 The Riemann-Stieltjes Integral | 4 |
| |

7 Sequences and Series of Functions | 4 |
| |

**How to do homework**

A previous 411 instructor wrote the following paragraphs. I
emphatically agree with these statements.

One important way to learn mathematics is to talk about it. You are
strongly encouraged to discuss problems -- and indeed, all the
material in the course -- with me or with other students. After you
have finished discussing a problem, however, you must write your
solution independently, not in concert with others. Your ideas and
approach to the problem may come from discussion, but you should
express those ideas in your own words.
If you have trouble with homework problems, or with any material in
the course, I urge you to come in during my office hours, or at some
other time, and discuss them.

**Grading**

Course grades principally will be based on a weighted average of
homework and exams.

Homework | 20% |

Class exams (each 20%)
| 40% |

Final exam | 40% |

This is written before the semester begins and things may change. For
example, possible student presentations may also be factored into the
course grade. I believe that the final exam is scheduled for Tuesday,
December 16, from 12 (noon) to 3 PM.

** Maintained by **`
greenfie@math.rutgers.edu` and last modified 8/31/2008.
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