Summer 2008

** Lectures: ** MTWTh 6:00PM-7:30PM.
1220 Benedum Hall

** Office hours: **
MTWTh 5:00PM-6:00PM, or by appointment, held at Thackeray Hall 610.

** Course Wesbite: ** http://www.pitt.edu/~pakzad/math413.html

** Grading: ** Homework (15%), Quiz (10%), Term Paper(15%), Class midterm (30%), Final (30%).

** Textbook: ** Bartle and Sherbert, Introduction to Real Analysis, Third Edition, Wiley

The course covers Chapters 1 through 3.

Logic Supplement

For those who would like to have a more comprehensive outlook: Schaum's Outline Series on Set Theroy and on Advanced
Caclulus are on reserve in the math library. They're also a very good source of extra exercises.

** Syllabus: ** THIS COURSE IS AN INTRODUCTION TO THE THEORETICAL TREATMENT OF SETS, FUNCTIONS, RELATIONS, NUMBERS,
SEQUENCES, AND LIMITS. CLASSWORK AND HOMEWORK CONCENTRATE READING AND WRITING OF PROOFS OF THEOREMS CENTERED
ON THESE TOPICS.

** Homework:**
Weakly assignments will appear here.
Homeworks are due each Monday during recitation.

** Homework policy: ** You may work with other students or use library resources, but each student must write up his or
her solutions independently. Copying solutions from other students will be considered cheating, and handled accordingly.

** Quiz policy:** Quizzes will be given in recitation, normally on Tuesdays. The lowest quiz score will be dropped.
There will be no makeup quizzes. If you miss a quiz, that will be the one that's dropped.

** Exam policy: **
There will be no make up tests. If you miss the midterm exam for a
*documented* medical reason, your grade on it will be the prorated grade of your final exam.

** The Term Paper:** The term paper should be written in the style of an expository article on a mathematical topic of your choice.
I will provide a list of suggested topics , but you are not
limited to that list. Your paper should be interesting and
comprehensible to a reader who does not already know your topic. It must include some technical detail or proofs.
It must be typed/word-processed, and should be approximately ten pages in length, double spaced. All sources must
be cited in the paper. Papers that include passages lifted verbatim from other sources without appropriate citations
will receive a grade of F.

The timetable for the term paper is as follows:

20 May Submit a topic

29 May Submit an abstract of your paper

18 June Finished paper due

** Using LaTeX for typing the term paper: **
You are encouraged, but not required, to learn LaTeX, and use it to typeset your term paper.

The standard reference for LaTeX is the book LaTeX: A Document Preparation System, by Leslie Lamport. There is also lots of
LaTeX material available on the web. A good online reference is
The Not So Short Introduction to LaTeX2e.

** Midterm exam: ** Midterm exam will be held on ** Monday June 2, 2008 **, in class.

** Final Exam: ** The Final exam will be held on the last scheduled day of
classes on ** Thursday, June 19, 2008 **, in class.