Mathematics 444 P13/P14 (Elementary Real Analysis)

Instructor: Prof. Aimo Hinkkanen
Office: 345 Illini Hall, phone 244-7306, e-mail: aimo 'at'
Office hours: Tuesdays and Thursdays 1:00 - 1:50 PM or by appointment
Lectures: TTh 11:00-12:20 in 441 Altgeld Hall

ONLINE TEACHING: To access pre-recorded online lectures and the corresponding pdf-files on Moodle, please click here. Then log in with your netid and password and go through two-factor authentication. Find the tab MY COURSES and then find the course MATH 444 P13/P14 SP20.

Textbook: Robert G. Bartle and Donald R. Sherbert, Introduction to Real Analysis, fourth edition, Wiley, 2011.

For the course syllabus, please click here.

For information on the extension of the drop deadline for LAS and Engineering students, please click here.

For the first-day information sheet as a pdf-file, please click here.

For the emergency information sheet for students, drawn up by the Department of Mathematics, please click here.

For emergency information provided by the University Police, please click here.

There will be three midterm exams and a final exam. Tentative dates of midterm exams (subject to change):

More precise information on the dates of the midterm exams will be provided later. All midterm exams will be held during regular class time in the regular classroom.

Final exam: Friday, May 8, 7:00-10:00 pm, in the regular classroom.

Grading: The grade for the course will be based on the total points from the best two midterm exams (the maximum score will be 100 in each midterm exam), 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.

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 midterm exam 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 midterm exam or a quiz, you will get zero points for it. As this system allows you to miss one midterm exam and at least three quizzes without you giving any reason for it, no make-up midterm examts 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 midterm exams and quizzes and to do your best.

No books, notes or calculators will be allowed in the midterm exams, the quizzes, and the final exam. Bring your university ID to the midterm exams and the final exam.

Homework problems will be suggested for each lecture. A list of all suggested homework problems can be found by clicking on the link to "Suggested problems" below.

Suggested problems

Midterm exam 1 will be held on Thursday February 20 at regular class time. Midterm exam 1 will cover Chapter 1, Sections 1-2; Chapter 2, Sections 1-5.

Midterm exam 2 on Thursday March 26 at regular class time will cover Chapter 3, Sections 1-5; Chapter 4, Sections 1-2. All midterm exams may include questions also from all material that was covered earlier. MIDTERM EXAM 2 IS POSTPONED UNTIL FTRTHER NOTICE.

The final exam will cover Chapter 1, Sections 1-2; Chapter 2, Sections 1-5; Chapter 3, Sections 1-5; Chapter 4, Sections 1-2; Chapter 5, Sections 1-4; Chapter 6, Sections 1-2; Chapter 7, Sections 1-3; and Chapter 8, Sections 1-2.


To obtain the online lectures as pdf-files, please click here.

Information for graduate students who wish to take this course for 4 credit hours.

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 November in a fall semester and early April in a spring semester. 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 the section for 4 credit hours 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.

Paperwork: A student who wishes to register for a fourth credit hour in this way needs to go to the Undergraduate Office of the Department of Mathematics in 313 Altgeld Hall to obtain a form to be filled in. After entering your personal information, please hand the form to the instructor for him to fill in the appropriate details and to sign. After the instructor has returned the form to you, please take it back to the Undergraduate Office of the Department of Mathematics for further processing. Typically this process needs to be completed during the first two weeks of the semester.

Checking your scores online: Go to this link, click on Academics, click on Courses, click on Score Reports, and log in using your University NetID and password.