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 D, F, and G blocks this Fall. I also have a computer science problem seminar from 9:40 - 11:10 a.m. on Tuesday morning.

M,W,F:	8:00 a.m. - 10:00 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 Friday, September 21, Monday, October 22, and Monday, November 19. The final is scheduled for Thursday, December 6.

Homework

There will be a variety of assignments in this course. There will be some group work -- either in or out of class -- which will be evaluated. After each lecture some exercises will be suggested and I will ask students to put some of these on the board. It is in your best interests to complete as many of these as possible. I encourage you to 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. There will also be a more formal assignment given each week 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. All assignments are to be submitted on time. 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.

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 weekly 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: