Text: Closer and Closer: An Introduction to Real Analysis by Carol S. Schumacher. (c) 2006 - 2007 Jones and Bartlett Publishers, Inc.
Grading: The grade will be calculated based on 5 components:
| Class participation, and in-class presentations | 25% of the final grade |
| Written Assignments | 20% of the final grade |
| Quizzes | 5% of the final grade |
| Take-home Midterm | 20 % of the final grade |
| In-Class Midterm | 5% of the final grade |
| Take-home Final | 20% of the final grade |
| In-Class Final | 5% of the final grade |
| In-class Midterm | Monday, October 30 |
| Takehome-Midterm | Any 48 hour period btwn 11 a.m. Friday, October 27 and 10:10 a.m Wednesday, November 1. |
| Takehome Final | From 11 a.m. Monday, December 11 to 9:30 a.m. on Friday, December 15. |
| In-class Final | 9:30 a.m. on Friday, December 15. |
In Class: In-class presentations, and class participation expectations and procedures will be a lot like they were in Foundations. On a daily basis you will be asked to prepare problems/proofs for presentation in class. I will generally depend on volunteers to present the proofs, but you will be expected to take your turn at the board regularly. Futhermore, class presentations are seen as a corporate effort. Students who are sitting down should be listening actively, making comments and asking questions so as to make sure the presentations are as clear and helpful as possible to everyone in the class. Occasionally, I will assign a group activity in class. You will also be expected to participate fully in such work.
Attendance: Certainly, in any course where class participation is so central, attendance is expected except in cases involving illness or other extenuating circumstances. So unexcused absenses will count against your class participation grade.
Written Assignments : I will ask you to keep a loose-leaf notebook in which you write up the problems designated "notebook problems". I will collect the notebook problems about every two weeks. The problems will be graded on a scale of 1 to 5. (I reserve the right to assign 6 points to an exceptionally well written or elegant proof!) You should not think of the grade as representing a percentage but, rather, as delivering a message:
I will use my reading of the notebook problems to keep track of your progress in the course and give helpful feedback as I can.The final score awarded on written assignments will come from a "clumping" of final scores at the end of the semester rather than as a percentage of some total possible number of points. I will give general feedback to the class a couple of times during the semester, but if you ever wonder where you stand in this part of the grade, please feel free to check with me.
Since the purpose of the assigned problems is for you to work on them yourself, you are not to consult books other than your text or other sources for proofs of the theorems you are asked to prove. (This includes web sources.) You may, however, talk freely to me and to other students in the class. Indeed, I expect these sorts of interactions to be a big part of the learning process.
I expect that the problems will be written up neatly and fully. In order to prepare yourself to LaTeX your takehome exams, I will ask that you LaTeX at least one problem from each set of Notebook problems.
Quizzes: I will give 5 short quizzes in class. (Two of these will coincide with in-class portions of the midterm and the final.) On the quizzes which you will be asked to give proofs of theorems that were proved in the text. I will always tell you ahead of time which proofs you will be responsible for (though I may suggest several as "fair game" and pick from among them.) The purpose of these quizzes is just to make sure you carefully study and internalize a handful of very important standard arguments. (Quiz dates are shown on the syllabus.)
In-Class exams: These exams will test you on basic definitions, examples, and central ideas. You will always be asked to (completely and concisely) define a number of terms. In addition to these definitions, you can expect true/false and short answer questions.
Takehome exams: In the takehome exams you will be asked to prove theorems that you have not previously seen. (Though their proofs will require ideas and techniques that are similar to those of theorems whose proofs you have seen.) I will expect takehome exams to be typed using LaTeX, so I will make myself available early in the semester to help anyone who doesn't know how to use it.
Academic Honesty: I encourage you to work together on everything except exams, but I expect every piece of work that you turn in ultimately to be written by you. You will be expected to maintain the usual standards of giving credit where credit is due by letting me know if you worked with a fellow student (there is no penalty for this, it is just academic honesty) or got information from another source. (Also, see notes about consultation under written work.)
Disabilities: If you have a physical, psychological, or learning disability that may impact your ability to carry out assigned course work, feel free to discuss your concerns in private with me, but you should also consult the Office of Disability Services at 5453. The Coordinator of Disability Services, Erin Salva (salvae@kenyon.edu), will review your concerns and determine, with you, what accommodations are appropriate. (All information and documentation of disability is confidential.) It is Ms. Salva that has the authority and the expertise to decide on the accommodations that are proper for your disability. Though I am happy to help you in any way I can, I cannot make any special accommodations without proper authorization from Ms. Salva.