Textbook: Robert G. Bartle and Donald R. Sherbert, Introduction to Real Analysis, third edition, Wiley, 2000.
For the course syllabus, please click here.
There will be three tests and a final exam. Tentative dates of tests (subject to change):
More precise information on the dates of the tests will be provided later. All tests will be held during regular class time in 2 Illini Hall.
Final exam: Friday, May 14, 1:30-4:30 pm, in 2 Illini Hall.
Grading: The grade for the course will be based on the total points from the best two tests (the maximum score will be 100 in each test), the final exam (maximum score 100), and quizzes (points normalized so that the maximum score will be 100). Hence the maximum score will be 400 for the total points. Typically, no pluses or minuses will be used with the letter grades for the course.
Quizzes. After the first week, there will be a quiz at the beginning of each class (apart from a few exceptions). In each quiz, there will typically be up to three questions, each graded either 5 or 0 points depending on whether your answer is completely correct or not. A certain number (at least three) of lowest quiz scores will be dropped. (The exact number of quizzes to be dropped depends on how many quizzes we end up having during the semester and will be announced later.) Dropping one test and a number of quizzes is intended to provide leeway for those times when a student is ill, or needs to go to a job interview, or has a family emergency, or just misses class or is late for the class for some other reason. If you miss a test or a quiz, you will get zero points for it. As this system allows you to miss one test and at least three quizzes without you giving any reason for it, no make-up tests or quizzes will be given. Exceptions will be considered only in the case of a prolonged illness indicated by a doctor's note. Of course, you are encouraged to take all tests and quizzes and to do your best.
No books, notes or calculators will be allowed in the tests, the quizzes, and the final exam. Bring your university ID to the tests and the final exam.
Homework problems will be suggested at the end of each lecture. A list of all suggested homework problems can be found by clicking on the link to "Suggested problems" below.
Test 1 will be held on Tuesday March 2 at regular class time (NOT on February 18). On Thursday February 25 there will be a review session during regular class time. Practice problems and model solutions will be distributed.
Information for graduate students who wish to take this course for 4 credit hours (section P14).
Extra project or work of substance: The student will read 3 sections of the text book not covered in the course, as assigned by the instructor. Then the student will solve a total of 5 problems from these sections, as assigned by the instructor, and will write each solution as an independent, complete essay using complete sentences.
Instructor method of evaluation: The deadline for turning in the work will be set for early April. After the work has been reviewed by the instructor, the student will have to rewrite the work or part of it as many times as necessary until it is mathematically completely correct and at a professional level of exposition.
The extra work described above is for the purpose of earning the fourth credit hour only, and the student's grade for the course will be determined in the same way as for the other students, apart from the following extra rule: if the student does not perform the extra work, the grade for the course will be an F, regardless of any other circumstances.
Please note that once section P14 has been created and you have joined it, by University rules it will not be possible for you to switch back to 3 credit hours (you may still be able to drop the course, subject to appropriate deadlines). This means that you will then have 4 credit hours for this course. For this reason, there needs to be a sanction for those who thus sign up but fail to do the extra work, for otherwise such people would be able to get 4 credit hours without extra work. It is for this reason that we have the above extra rule.