## Math 413, Introduction to Theoretical Math Summer 2008

Instructor: Reza Pakzad, Office: Thackeray Hall 610. Email: pakzad At-Sign pitt Dot edu

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

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

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.