MATH 0413 Fall 2013

Schedule and Contact Information
Classes (2 sections):
MWF 11:00 - 11:50 am, Thackeray 627. Recitation: TuTh 11:00 -- 11:50 am Cathedral of Learning G13
MWF 1:00 - 1:50 pm, Thackeray 704. Recitation: TuTh 1:00 -- 1:50 pm Cathedral of Learning 363
Note: the sections will often go at slightly different pace. Additionally, Thackeray 627 has very limited capacity. So you should always attend your own section, if at all possible. If you have any questions, or unusual circumstances, please contact the instructor.
Instructor: Alexander Borisov
Office: Thackeray 414
Office hours: M 9:00 - 10:50 am + by appt.
Email: borisov"at"pitt"dot"edu
Recitation Instructor: Soheil Malekzadeh

Announcements and Homework
The Final Examination Information.
The 11 am section: Wednesday, 2 pm-3:50 pm, 627 Thackeray.
The 1 pm section: Saturday, 12 pm 1:50 pm, 704 Thackeray.
IMPORTANT. The examinations will be comparable but different. It may be possible for you to take the final examination with the other section, talk to me about this. For the students from the 1 pm section, who want to take the examination earlier, there are other options as well.
Format of the examination: 2-3 definitions/statements of theorems (from the List of Mini-quizzes), 2-3 theorems to prove (from the List of Theorems), 2-3 problems, and possibly a harder bonus problem.
Here are some Old Final Exams (as a single PDF file).
The final paper outline is due Monday, Nov. 18 (best: Friday, Nov. 15). Refer to the Final Paper Information for more details.
Problems on Absolute/Conditional Convergence of Series courtesy of Dr. Inna Sysoeva. Answers.
Problems on Series courtesy of Dr. Inna Sysoeva. Answers.
Homework 3 is due Tuesday, 11/5. Please refer to the List of Homework Assignments for the written homework assignments and due dates.
Final copy of the second writing assigment is due Wednesday, November 5 (flexible).

Sample LaTeX files (open as text files):
List of Mini-quizzes in LaTeX, List of Homework Assignments in LaTeX, Midterm Study Guide in LaTeX.
Midterm date is set: Wednesday, October 16.Midterm Study Guide.
Sample Midterm Examinations
Fall 2010
Fall 2011
Fall 2012
Here is an example of incorrect mathematical induction argument. Check it out!
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.

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