Real Analysis I

Dr. Abdul Hassen

Office:     Robinson Hall, Mathematics Department Room 229E

Phone      (856) 256-4500 ext 3888. e-mail:  hassen@rowan.edu

Office Hours: By appointment. Please contact me via e-mail.

Prerequisite:     Calculus III

Text: Michael Reed, Fundamental Ideas of Analysis Wiley.

Catalog Description:     This course prepares the student for more advanced courses in analysis as well as introducing rigorous mathematical thought processes.  Topics included are: sets, functions, the real number system, sequences, limits, continuity and derivatives.

Objectives : Students will demonstrate the ability to use rigorous mathematical thought processes in the following areas: sets, functions, sequences, limits, continuity, and derivatives.

Content:  We will cover the following sections  from the text book.

CHAPTER 1.     Preliminaries 

All Sections

CHAPTER 2.    Sequences

Sections 1 through 6 will be covered

CHAPTER 3.      The Riemann Integral

                Sections 1 through 6 will be covered

CHAPTER 4.    Differentiation

            Sections 1 through 3 will be covered

CHAPTER 5.   Sequence of Functions

    Sections 1 and 2 will be covered

CHAPTER 6   Series of Functions

    Sections 1 through 4 will be covered

Grading Policy: Students will be graded based on four tests (70% of the total grade) and assignments (30% of the total grade). The dates for the tests will be announced in class at least a week in advance. The four tests will cover the following sections from the textbook.

Test 1:  (18% of total grades) covers Chapters 1

Test 2:  (18% of total grades) covers  Chapter 2.

Test 3:  (17% of total grades) covers Chapter 3.

Test 4:  (17% of total grades) covers Chapters 4, 5, and 6

Homework Policy: You should be aware that the only way to learn mathematics is by doing mathematics. Thus, I recommend that you do AT LEAST ALL odd numbered problems from the sections we cover. There will be four weekly homework assignments (posted on the WebCT course website).  List all exercises assigned on the front cover page of your written solution set. Circle those exercises that you wrote complete solutions for; if you wrote only a partial solution (e.g. you completed 2 out of 4 parts), then circle the exercise number and write the corresponding fraction that you completed next to it.
The homework problems that you should submit on Thursdays can be found here: chapter one; chapter two, chapter three, chapter four to six

You can read the hints for the exercises in your text from here: chapter one, chapter two, chapter three

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.

This page was last updated on 6/01/07