MATH 0413 Fall 2012

Schedule and Contact Information
Classes: M W F 11:00 - 11:50, Thackeray 627
Instructor: Alexander Borisov
Office: Thackeray 414
Email: borisov"at"pitt"dot"edu
Recitations: Tu Th 11:00 - 11:50, Cathedral of Learning 218
Recitation Instructor: Alexey Solovyev

Announcements and Homework
The final exam will be on Saturday, December 15, at 2:00-3:50 pm, usual room. Optional makeup exam: Friday, December 7, in class. Please refer to the Theorem List for more details.
The final paper outline is due Monday, Nov. 19 (best: Friday, Nov. 16). Refer to the Final Paper Information for more details.
On Tuesday, 11/13 there will be a quiz, on material of mini-quizzes from 10/05 to 11/09.
The midterm will be on Wednesday, Oct. 24. Please refer to the Midterm Study Guide for more details.
Please refer to the List of Mini-quizzes for the most updated list of definitions and statements of theorems that can be asked on a mini-quiz.
Please refer to the List of Homework Assignments for the written homework assignments and due dates.

Prerequisites
Calculus II or equivalent, and some natural curiosity.

Textbook
Basic Analysis, by Jiri Lebl, with supplements by Pitt faculty.

Overview
The course covers the foundations of theoretical mathematics and analysis. Topics include sets, functions, number systems, order completeness of the real numbers and its consequences, and convergence of sequences and series of real numbers. Most importantly, this course is designed to introduce you to Mathematics, as a classical branch of human thought and culture. Please refer to the Information Packet for the more detailed structure of the course as well as an informal guide for the beginning mathematics students with tips on learning mathematics, including writing and problem-solving.

Helpful Links
The following link has an excellent collection of interesting problems and well-written solutions, on relatively elementary topics. USA Mathematical Talent Search (USAMTS) Problems and Solutions