Math 441 - Intermediate Analysis

Instructor: Brian Lins
Class Times & Location: MWF 1:30-2:20 Bagby 020
Office Hours: See my weekly schedule, and also by appointment.
Text: Analysis with an Introduction to Proof, 4^th Edition, by Stephen R. Lay.

Announcements

(11/24) Here is the list of final project topics.
(11/9) Here are the review problems for the second midterm.
(10/8) Here is a discussion of the Sequences Workshop.
(9/10) Here are solutions to the Induction Workshop.

Course Description

Math 441 will begin with a review of logic, proof techniques and elementary set theory. From there we will study the properties of real numbers and functions use them to derive many of the most important theorems in calculus.

Tentative Schedule

The schedule below is tentative, and may be subject to change. Changes will be announced in class, and you are responsible for knowing about any changes even if you miss the class when they are announced.

Weekly schedule & homework

Grading Policy

The term grade will be based on the results of the examinations, the scores on written homework, and on class participation. The grade is determined as follows:

Class Participation	5% points
Written Homework	40% points
Midterm 1	15% points
Midterm 2	15% points
Final Exam	25% points

Exams

There will be two midterm exams and a cumulative final. The midterm exams will each count for 15% of the term grade and the final exam will count for 25% points. The exams may include both in-class and take home portions. The in-class portions of the exam will be closed book, however the during the take home portion of an exam, you may consult your textbooks.

Written Homework

There will be written homework assignments due almost every week. Some of the problems may be proofs. Half of the points for each homework assignment will be based on the mathematical validity of the work. The other half of the grade will be based on exposition and neatness. In order to receive full credit for the exposition portion of the grade, the write-up must satisfy the following criteria:

It must be neat, legible, stapled (if more than one sheet of paper), and have your name written clearly on top.
Individual problems must be clearly labeled and separated from other problems by at least a full line.
Each exercise must include a description of the problem to be solved (this may be copied directly from the exercise itself).
For proofs, all explanations must be written in complete sentences.
The end of any proof should be indicated with a Q.E.D. or a small square.

Late homework will not be accepted. You are permitted, and in fact encouraged to work together, but all homework assignments you submit must ultimately be your own work.

Class Participation

There is a saying that, "you learn math by doing math." This is particularly true in an abstract proof-oriented course. During most classes, I will assign problems and readings that you are expected to complete before the next class. From time to time, you will be asked to present your solutions (or your attempted solutions) to these problems during class. These in-class presentations will determined your class participation grade. You will not be graded on the mathematical accuracy of your presentations, instead your grade will be based on having attempted the problem in question and having something to present.