MATH 0413 Summer 2014

Schedule and Contact Information
Classes: M Tu W Th 6:00 -7:25 pm, 103 Allen Hall
Instructor: Alexander Borisov
Office: Thackeray 414
Email: borisov"at"pitt"dot"edu
Recitations: M Tu W Th 7:40 - 8:35 pm, 103 Allen Hall
Recitation Instructor: Nick Hurl

Announcements and Homework
Practice problems on infinite series (used with the kind permission from the author, Dr. Inna Sysoeva). Answers.
The final exam will be during the last class and the last recitation, on Thursday, June 19th. Please refer to the list of theorems and the list of mini-quizzes to guide your study.
Here are some old final exams.
Fall 2010
Fall 2012
Summer 2013
Fall 2013 (version 1)
Fall 2013 (version 2)
Homework 3 is due Wednesday, 6/11. List of Homework Assignments.
Writing assignment 2 final draft is due on or before Monday, 6/16.
Final paper topics and deadlines

Midterm date is set as Tuesday, 6/3. Format: a mixture of definitions, statements and proofs of theorems, and some problems. Focus especially on proofs of theorems. Please refer to the Midterm Study Guide for more details.
Here are some old midterm exams.
Fall 2010
Fall 2011
Fall 2012
Summer 2013
Fall 2013 (version 1)
Fall 2013 (version 2)
Here is the most updated List of Mini-quizzes.

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 websites contain excellent collections of interesting problems and well-written solutions, on relatively elementary topics.
USA Mathematical Talent Search (USAMTS) Problems and Solutions
Art of Problems Solving
Brilliant