Math 5201 – Syllabus

Meeting Times: MWF 10:20 – 11:15 am, Zoom; TR 10:20 – 11:15 am, Caldwell Lab 177* (*recordings of the TR class meetings will be available on Carmen.)

Class Format : This class meets in person on TR and online on MWF. It is suggested that you attend the live zoom meetings on MWF in real time. If you are unable or unwilling to make the in person meetings on TR, it is suggested that you attend the live zoom meetings on MWF and that you keep up with the videos on Carmen for the TR class meetings. Note that new class material may be presented on any day and it is your responsibility to keep up with it.

Calendar: see our Calendar for day-by-day list of topics, posted review sessions, Midterm dates, and the Final Exam date.
Grading: home work (35%), midterm I (20%), midterm II (20%), final (25%),
Quizzes: You can expect quizzes throughout the semester.  Quizzes will be announced in advance, will take place on Fridays, and will be counted towards your homework score.
Homework policy: Homework assignments will appear by each Thursday of the semester (except for weeks with a Midterm- see the calendar) and will due on the following Thursday at the beginning of lecture on Carmen.  Late homework creates difficulty for the grader and puts the student behind.  For the benefit of all involved, late homework will not be accepted unless extenuating circumstances are present. Homework makes up a large percentage of your class grade as it plays an important part in learning and mastering the material. Both correctness and neatness of presentation will be required for full credit. If you use any assistance for your homework solution, including an online source, a classmate’s answer, or a book, the reference or person should be cited at the beginning of your solution. Please do not copy solutions from online sources. It is vital that you learn the material and find your own presentation.
Attendance: Attendance and Participation are important to succeeding in this class. In borderline situations, when a grade is between letter values, attendance and participation will be taken into consideration.
Text: W. Rudin, Principles of Mathematical Analysis, 3rd Ed., McGraw-Hill
Class notes: We will mostly follow the book and any supplementary material will be posted below.
Review sessions: We are going to run periodic review sessions to take extra questions and to help you prepare for both the midterms and final exams.
Expectations: This is a graduate course and I expect you to approach it like professionals. This includes the following:
i) I expect the attendance to be at or near %100.
(If you cannot be in class, then you are expected to keep up with the videos on a daily basis).
ii) I expect you to know all the material from the previous lectures throughout the semester. This is necessary to follow the lectures and to do well on the midterms and final.
iii) I expect you to read the material we are going to cover ahead of time.
iv) I expect all additional electronic devices to be off during class and attention focused squarely on the material at hand.
v) I expect you to ask questions in class and suggest alternative approaches to proofs.
vi) I will not always fill in every detail of a proof.  This is a graduate course, and you are expected to take the time outside of class to take the time to fill in details.

In return, you can expect to be treated with respect, to find space to ask questions, to understand the grading scheme and expectations of the course upfront, to be updated via email to any class updates.



  • The course will be taught in-person for some part of it. Please remember that every course will need to be taught remotely following Thanksgiving break, as we will not be returning to campus. This includes one week of classes and then final exams.
  • When you go to class, follow the regulations (do not move the chairs). Also pick a spot that you will have for the whole semester. This will be used in case we have to apply contact tracing (in case some of us get sick).
  • Be sure to have someone take notes for you if you are unable to attend class because of positive diagnosis, symptoms, or quarantine required following contact tracing.
  • Please be responsible to yourself and others. If you don’t feel well, do not come to class.
  • In case:
  1. The entire class is required to quarantine following contact tracing; or
  2. in-person classes are suspended at the university; or
  • I or Dr. Koutsagiannis are unable to be present in person because of positive diagnosis, symptoms, or quarantine following contact tracing,

we will move to recorded or real-time sections through Zoom.

  • Complete daily health checks and self-isolate if running a fever or in other ways symptomatic
  • Follow the university’s regulations regarding masks and social distancing (including seat assignments) in classrooms.
  • Additional resources for you (students):
  1. The Ohio State University Wexner Medical Center’s Cornavirus Outbreak site includes the latest information about COVID-19 as well as guidance for you.
  2. The Keep Learning site includes tips and resources to help you make the shift to online learning, addressing strategies for success as well as technology tools.

Disability statement:Students with disabilities that have been certified by Student Life Disabilities Services (SLDS) will be appropriately accommodated and should inform the instructor as soon as possible of their needs. SLDS contact information:; 614-292-3307; 098 Baker Hall, 113 W. 12th Avenue; webpage:

Academic misconduct statement: It is the responsibility of the Committee on Academic Misconduct to investigate or establish procedures for the investigation of all reported cases of student academic misconduct. The term “academic misconduct” includes all forms of student academic misconduct wherever committed; illustrated by, but not limited to, cases of plagiarism and dishonest practices in connection with examinations. Instructors shall report all instances of alleged academic misconduct to the committee (Faculty Rule 3335-5-48.7). For additional information, see the Code of Student Conduct at

Mental health statement:
As a student you may experience a range of issues that can cause barriers to learning, such as strained relationships, increased anxiety, alcohol/drug problems, feeling down, difficulty concentrating and/or lack of motivation. These mental health concerns or stressful events may lead to diminished academic performance or reduce a student’s ability to participate in daily activities. The Ohio State University offers services to assist you with addressing these and other concerns you may be experiencing. If you or someone you know are suffering from any of the aforementioned conditions, you can learn more about the broad range of confidential mental health services available on campus via the Office of Student Life’s Counseling and Consultation Service (CCS) by visiting or calling 614­-292-­5766. CCS is located on the 4th Floor of the Younkin Success Center and 10th Floor of Lincoln Tower. You can reach an on call counselor when CCS is closed at 614­-292-­5766 and 24 hour emergency help is also available through the 24/7 National Suicide Prevention Hotline at 1-­800­-273-TALK or at

Sexual misconduct/relationship violence:
Title IX makes it clear that violence and harassment based on sex and gender are Civil Rights offenses subject to the same kinds of accountability and the same kinds of support applied to offenses against other protected categories (e.g., race). If you or someone you know has been sexually harassed or assaulted, you may find the appropriate resources at or by contacting the Ohio State Title IX Coordinator, Kellie Brennan, at

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