Real Analysis II
Dr. Abdul Hassen
Office: Mathematics Department, 2nd Floor Robinson Hall,
Phone (856) 256-4500 ext 3888. e-mail: hassen@rowan.edu
Office Hours: M 5:30 – 6:20 p.m., TR 6:30 – 7:30 and by appointment.
Prerequisite: Real Analysis I
Text:
Richard Goldberg, Methods in Real
Analysis, 2nd edition, Published by Wiley
Catalog Description:
This course is a continuation of Introduction to
The purpose is to extend the student's understanding of basic analysis and the
calculus. Topics included are: the mean-value theorem, existence of
the Riemann integral, Riemann-Stieltjes integration, infinite series,
convergence tests and Fourier series.
Objectives : Students will demonstrate the ability to use rigorous mathematical thought processes in the following areas: sets, functions, sequences and series, limits, continuity, derivatives, integrals and Fourier series.
Content: We will cover the following sections from the text book.
CHAPTER 0 Preliminaries (Lecture Notes PDF file, Power Point Presentation)
We will briefly review the
main ideas of chapters 1 through 4.
I
highly recommend that you read chapters 5 and 6.
CHAPTER 7 Calculus (Lecture Notes PDF file, Power Point Presentation)
All sections will be
covered. I will assume that students are familiar with Riemann Integrals from
Real Analysis I
CHAPTER 8 Elementary Functions (Lecture Note: PDF, Power Point )
All sections will be covered
CHAPTER 9 Sequence and Series of Functions (Lecture Note: PDF, Power Point )
All sections will be covered
CHAPTER 12 Fourier series (Lecture Note: PDF, Power Point)
All sections will be covered
Grading Policy: Students will be graded based on mid term and final exams (60% of the total grade), projects (20% of total grade), and assignments (20% of the total grade). The dates for the tests will be announced in class at least a week in advance.
Numerical grades will be converted to letter grades by the following scale.
A (-)= 90 to 100, B(-,+)= 80 to 89, C(-,+)= 70 to 79, D(-,+)= 60 to 69, F= 0 to 59
Attendance: Students are expected to attend all classes and be on time. If you miss a class, it is your responsibility to study the section(s) covered and do the homework. If you are absent the day of a regularly scheduled test, a grade of zero is automatically recorded as your test score. You will be permitted to make up this zero only when you can confirm that you were absent for reasons beyond your control. In such cases, you must phone 256 - 4500 extension 3888 and leave a message for me including your name and phone number, the reason for your absence and the date you anticipate returning. Students who fail to leave the above information will be assigned the grade of zero for that test.
PASS NO CREDIT OPTION: There is no such option for this course. The grades I assign are A, B , C, D, F.
Cheating: Cheating on a test or assignment seriously undermines the integrity of the academic system and will not be tolerated. If I determine that a student has cheated, I will assign the grade of F for this course and send a letter to this effect to his advisor. Even though a student is not cheating, he or she is expected to refrain from actions which could be suspicious. Using common sense on your part should avoid unnecessary embarrassment.
Questions and Answers: The best time to ask questions is during class. Many times students fear that their questions will seem foolish, while in fact, many others also have the same question. I urge you to ask your questions during class. If you have questions that were not answered in class, you may stop by my office during the following office hours.
HOMEWORK These will be given in class and the due dates will be announced. I suggest that you get a separate notebook for homework assignments.
Please send your comments hassen@rowan.edu
This page was last updated on 01/12/07