Objectives

Professor

Textbook

Attendance

Exams

Homework

Grades

Assignments

• The student will be able to state mathematical definitions precisely, illustrate them with examples, and use them in writing proofs.
• The student will be able to reproduce proofs of certain theorems.
• By studying proofs presented in class or found in the text, the student will improve his or her ability to write original proofs.
• The student will be able to construct original proofs and will practice writing logically correct and clear solutions to assigned exercises.
• The student will reexamine topics from calculus, such as limit, continuity, derivative, and integral from a more advanced viewpoint.

Professor

Dr. Christine Shannon
Olin 115

Phone: 5406 (Office) 238-7422 (Home)
e-mail: shannon@centre.edu

You might also be interested in visiting my home page at http://web.centre.edu/shannon/.

Office hours: I am generally on campus every day between 7:30 a.m. and 4:00 p.m. and often later than that.. If I am not in class, I am usually in my office or one of the computer labs. I will try to observe the following office hours and will notify you if I won't be available. I teach in the B and F blocks this Fall. I also have a computer science problem seminar from 4:00-5:30. on Tuesday afternoon.

M,W,F:	10:20 a.m. - 11:30 a.m.
T , Th:	1:00 p.m.- 2:30 p.m.

Please feel free to come by at other times and you are always welcome to make an appointment.

 

Textbook

Abbott, Stephen. Understanding Analysis,New York, NY: Springer, 2001.

Attendance

I expect students to be present for all classes. Please let me know in advance if you must be absent for a scheduled college activity. Illness might prevent you from being present for a couple of classes during the semester but anything beyond that will probably have a detrimental effect on your grade. Those of you who must be absent for college sponsored activities should be particularly careful not to miss any other classes. If you have a good reason to be absent from class, you are still responsible for the homework assignments. Except in the case of serious illness, all assignments are to be turned in on time. This means you must generally hand in your assignment before you leave for an excused activity.

Exams

There will be three exams on Monday, September 29, Wednesday, October 29, and Monday, November 24. The final is scheduled for Monday, December 8.

Homework

There will be a variety of assignments in this course. There will be some group work. After each lecture some exercises will be assigned and I will ask students to put some of these on the board. Look for your name on the board when you come into class and start putting up the problem as soon as you get there. It is in your best interests to complete as many of these as possible. I encourage you to first attempt a solution to the problems on your own and then talk about your work on these assignments with other members of the class. Discussing mathematics is probably the best way to learn it. I will note the students who are prepared to put problems on the board but you should not worry about making mistakes. We are all friends and we learn a lot from our mistakes. There will also be a problem or two from previous work which will be collected and graded. These must be carefully prepared and several will require the use of a mathematical word processor which will make revisions easier. If the problem does not meet a minimum standard you will be asked to submit it again. All assignments are to be submitted on time. Problems which must be corrected are due at the next class meeting. Late assignments are generally not accepted. All work must be done independently. If any help is obtained, it must be noted on the homework when it is submitted. This is a matter of academic integrity. Even if you discuss problems with others what you write should be absolutely your own.

Your grades for the course will be determined by

Definitions are a very important part of the study of real analysis. Most days we will have some sort of a quiz over the definitions introduced in the last class. Usually I will expect a statement of a definition and perhaps an example which either does or does not satisfy the definition. Note: If you are putting a problem on the board you will be excused from the quiz and get an automatic 5 as long as you have a solution written out to the problem.

Your final grade will be determined by the total number of points you accumulate out of the 600 possible points. The 100 point homework grade will be composed of the points you gain on the graded assignments. Students who are ill-prepared, miss class, or otherwise fail to live as responsible citizens will not get the benefit of any doubt. I will use a 15 point grading scale so that you are guaranteed an A or A- if you score 85 or above, a B-, B or B+ for 70-84, C-,C or C+ for 55-69 a D for 45-54 and anything lower is failing.

Schedule of Topics: