MATH 4433 - Introduction to Analysis I, Section 001 - Fall 2014
TR 10:30-11:45 a.m., 222 PHSC

Instructor: Nikola Petrov, 802 PHSC, (405)325-4316, npetrov AT math.ou.edu.

Office Hours: M 2:30-3:30 p.m., T 1:30-2:30 p.m., or by appointment, in 802 PHSC.

Course catalog description: Prerequisite: 2433 and 2513 or permission of instructor. Review of real number system. Sequences of real numbers. Topology of the real line. Continuity and differentiation of functions of a single variable. (F, Sp, Su)

Text: Steven R. Lay. Analysis With an Introduction to Proof, Pearson, 5th ed., 2012, ISBN: 03217474X. The course will cover major parts of Ch. 1-6 (and, if time permits, parts of Ch. 7 and/or 8).

Homework [read the following useful advice on writing proofs and advice from students]

Course content:

Content of the lectures:

Attendance: You are required to attend class on those days when an examination is being given; attendance during other class periods is also expected. You are fully responsible for the material covered in each class, whether or not you attend. Make-ups for missed exams or quizzes will be given only if there is a compelling reason for the absence, which I know about beforehand and can document independently of your testimony (for example, via a note or a phone call from a doctor or a parent).

Homework: Homework will be assigned regularly and will be posted on the this web-site. The homework will be due at the start of class on the due date. Each homework will consist of several problems, of which some pseudo-randomly chosen problems will be graded. The lowest homework grade will be dropped. Giving just an answer to a problem is not worthy any credit - you have to write a complete solution which gives your step-by-step reasoning and is written in grammatically correct English. Although good exposition takes time and effort, writing your thoughts carefully will greatly increase your understanding and retention of the material. Always write the proofs on scratch paper first!
You are allowed to discuss the homework problems with the other students in the class. However, each of you will need to prepare individual solutions written in your own words - this is the only way to achieve real understanding!
Your homework should have your name clearly written on it, and should be stapled. Please write the problems in the same order in which they are given in the assignment. No late homework will be accepted!

Quizzes: Short pop-quizzes will be given in class at random times; your lowest quiz grade will be dropped. Often the quizzes will use material that has been covered very recently (even in the previous lecture), so you have to make every effort to keep up with the material and to study the corresponding sections from the book right after they have been covered in class.

Exams: There will be three in-class midterms and a (comprehensive) final.
Tentative dates for the midterm are September 16 (Tuesday), October 16 (Thursday), and November 18 (Tuesday).
The final will be given from 8:00 to 10:00 a.m. on December 9 (Tuesday).
All tests must be taken at the scheduled times, except in extraordinary circumstances.
Please do not arrange travel plans that prevent you from taking any of the exams at the scheduled time.

Grading: Your grade will be determined by your performance on the following coursework:

Coursework Weight
Homework (lowest grade dropped) 12%
Pop-quizzes (lowest grade dropped) 10%
Three midterm exams (18% each) 54%
Final Exam 24%

Policy on W/I Grades : You can withdraw from the course with an automatic "W" from September 2 to October 14 for undergraduate students, or from September 2 to September 26 for graduate students. The period for withdrawing with a grade of W or F is October 27 to December 5 for undergraduate students (and withdrawal requires a petition to the College Dean), or September 29 to December 5 for graduate students. (Petitions to the Dean are not often granted. Furthermore, even if the petition is granted, I will give you a grade of "Withdrawn Failing" if you are indeed failing at the time of your petition.) Please check the dates in the academic calendar!

The grade of "I" (Incomplete) is not intended to serve as a benign substitute for the grade of "F". I only give the "I" grade if a student has completed the majority of the work in the course (for example everything except the final exam), the coursework cannot be completed because of compelling and verifiable problems beyond the student's control, and the student expresses a clear intention of making up the missed work as soon as possible.

Academic Misconduct: All cases of suspected academic misconduct will be referred to the Dean of the College of Arts and Sciences for prosecution under the University's Academic Misconduct Code. The penalties can be quite severe. Don't do it!
For details on the University's policies concerning academic integrity see the Student's Guide to Academic Integrity at the Academic Integrity web-site. For information on your rights to appeal charges of academic misconduct consult the Academic Misconduct Code. Students are also bound by the provisions of the OU Student Code.

Students With Disabilities: The University of Oklahoma is committed to providing reasonable accommodation for all students with disabilities. Students with disabilities who require accommodations in this course are requested to speak with the instructor as early in the semester as possible. Students with disabilities must be registered with the Office of Disability Services prior to receiving accommodations in this course. The Office of Disability Services is located in Goddard Health Center, Suite 166: phone 405-325-3852 or TDD only 405-325-4173.

Good to know: