Midterm 2 sample solutions

Dear students,

Sample solutions for Midterm 2 are now available here .

Best regards,

Math 116 Coordination.


Posted by MATH116 on 10.04.2019 under General

Second midterm contents and exam places announced

Dear all,

As you know, our second midterm will be held on April 10, 2019, Wednesday at 17:40. Your exam places are now announced on the SIS. The second midterm covers all the topic up to and not including groups, that is, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6 and the beginning of 4.1 (that is, only the definition and basic properties of permutation groups.)

Study well,

Best regards,

MATH116 Coordination.


Posted by MATH116 on 08.04.2019 under General

Regrade requests are now open

Dear students,

Regrade requests for Midterm 1 (that is, objections) are now open on Gradescope and will be closed on March 29, 2019 at 12:00. Here are some tips you should follow while requesting regrade:

  • You are able to see the grading rubrik, which means that you should be able to figure out where you lost points either by looking at the rubrik or the comment section or the markings on your paper. You should only object if the rubrik is inconsistent with what you have written. Let us give an example: If the rubrik says you got 3 points instead of 4 points because you did not use proper quantifiers for coefficients of a and b, then you should check whether or not you used proper quantifier while quantifying the coefficients of a and b. If you have not, this means that the grading is correct and you would be wasting our time objecting.
  • Apply the following basic procedure for objecting:
    – Read your own solution.
    – Then read the rubrik, the comments and the markings on your paper.
    – Decide whether or not there is an inconsistency with the rubrik and your grading.
    – If so, send a regrade request. If not, do not send a regrade request.
  • You should keep in mind that we do not possess mind-reading abilities and consequently, while grading, we can only grade what we see on your exam paper not what was on your mind. This is exactly why “but I didn’t mean that, I meant that…” is not an acceptable reason to send a regrade request.
  • We are not legally obliged to show you your exam papers and provide objection hours. The formal procedure is for you to send a written request to the Department and we evaluate your request and regrade if necessary. This means that paper-review hours are not a right that you have, but only a convenience we provide to the students. If you try to abuse the Gradescope’s regrade request system by sending regrade requests for the whole exam or sending obviously unnecessary regrade requests, then we may have to make you deal with the formal procedure next time you wish your exam to be regraded. For this reason, please send a regrade request only if you genuineily believe that there has been a mistake in the grading of your question.
  • Let us repeat this important point once more in Turkish: Yasal olarak kağıt görmek gibi bir hakkınız yok, bu sadece size sağladığımız bir kolaylık. Resmi olarak yapabileceğiniz tek şey, notunuzu beğenmediğinizde, bölüme bir dilekçe yazıp kağıdınızın tekrar okunmasını istemek. Bu yapıldıktan sonra da, kağıdınızı hala size göstermek zorunda değiliz; sadece dilekçeniz sonucunda kağıdınızın tekrar okunup okunmadığını bildirip gerekiyorsa notunuzu değiştiririz. Tüm bunlardan çıkarmanız gereken sonuç, kağıt görmek ya da itiraz etmenin size tanınan bir hak değil, bir kolaylık olduğu. Gradescope vasıtasıyla bu süreci iyice kolay hale getiriyoruz. Öte yandan, sadece tuşa basıp itiraz edebiliyorsunuz diye bütün sınava itiraz etmek, soru doğru okunduğu halde notunuzu beğenmediğiniz için itiraz etmek gibi sistemi istismar eden hareketlerde bulunursanız, bir sonraki sınavınızda, biz de size kolaylık sağlamak yerine sizi yukarıda bahsedilen bürokratik süreçle baş başa bırakabiliriz. Bu yüzden, lütfen tekrar-okuma isteklerini sorunuzun gerçekten yanlış ya da eksik olduğunu düşünüyorsanız gönderin.

Best regards,

MATH116 Coordination.


Posted by MATH116 on 25.03.2019 under General

A quick explanation of a common mistake in exam

Dear students,

It has been brought to our attention that many students, who fell into a common pitfall, seem to think that there is a mistake in grading of Problem 3.b of Midterm 1. This post is supposed to explain the difference between solutions which are “seemingly same” but are indeed very different.

The correct solution, which can be read from the sample solutions, takes the following approach:

  • Assuming the existence of an identity element b, and
  • Then arriving at a contradiction such as “b has to be both 0 and 1, but 0 is not 1.”

Now, let us read the following part of a hypothetical incorrect solution:

  • 0 is the identity element for even numbers a, and 1 is the identity element for odd numbers a.
  • Since 0 is not 1 and the identity element is unique, we have a contradiction.

The second solution attempt contains two wrong statements which are “0 is the identity element for…” and “1 is the identity element for…”. There is no such thing as being identity for a special subset. If you have claimed or hinted at any point of your solution that 0 and 1 are identity elements (of whatever subset), then you must have gotten no points from this question.

Observe the following very important fact: Showing that if an identity exists, it has be to 0 and 1 is not the same as claiming that 0 and 1 are identities for whatever.

According to our statistics, %22 of students made this mistake. We, the graders, are pretty sure that some of you may have meant the first correct solution, while you wrote something resembling the second one in your exam papers. However, due to our lack of telepathy skills, we cannot grade what is on your mind and can only grade what is on your exam paper.

Best regards,

MATH 116 Coordination.

P.S. This post bring us back to a very important point. Being able to communicate your ideas properly in a mathematical argument, which is one of the reasons you learn MATH111 in the first place.


Posted by MATH116 on 23.03.2019 under General

Midterm 1 grades are announced

Dear students,

Your Midterm 1 grades are announced on Gradescope. Please read this post in order to be able to register to Gradescope and see your exam papers online.

We would like to note that regrade requests (that is, objections) are not enabled right now and are going to be enabled during next week. Before you make an objection, please read the grading rubrik and/or comments written for your questions.

Best regards,

MATH116 Coordination.


Posted by MATH116 on 22.03.2019 under General

Midterm 1 sample solutions

Dear students,

Sample solutions for Midterm 1 are now available here .

Best regards,

Math 116 Coordination.


Posted by MATH116 on 13.03.2019 under General

How to see your exam papers and grades

Dear all,

As MATH116 coordination, for this semester, we decided to use the Gradescope system in order to grade your papers and handle the paper review session. This system not only will allow us to grade faster but also allow you to see your scanned exam papers online, completely digitalizing the paper review and objection sessions.

All students in the course roster should have received an e-mail from Gradescope explaining how to register to this system at their METU e-mail address of the form “exxxxxx@metu.edu.tr”. Please check your METU e-mails. You should have received a link (that expires on March 9) from which you create a password for your Gradescope account. If you missed the deadline and had not registered before March 9, then the link must have expired and you are supposed to request a new password using your METU e-mail address of the form “exxxxxx@metu.edu.tr”.

If you still have questions regarding registration to Gradescope, please send an e-mail to Burak Kaya at burakk@metu.edu.tr.

Best regards,

MATH116 Coordination.


Posted by MATH116 on 13.03.2019 under General

First midterm contents and exam places announced

Dear all,

As you know, our first midterm will be held on March 13, 2019, Wednesday at 17:40. Your exam places have been announced on the SIS. The first midterm covers all the topic up to and not including groups, that is, 2.3, 2.4, 2.5, 2.6, 1.4 and 1.6.

Study well,

Best regards,

MATH116 Coordination.


Posted by MATH116 on 11.03.2019 under General

Exam schedule change

Dear all,

Due to schedule conflicts, our midterm dates have been changed. Please see the syllabus for the new dates. If you have any conflicts due to this change, please send an e-mail to Gökhan Benli explaining why you are objecting to this schedule change.

Best regards,

MATH116 Coordination.


Posted by MATH116 on 04.03.2019 under General

Important information about Section 3 schedule

Dear students,

The schedule of Section 3 is now changed to:

  • Tuesday 15:40-17:30 M13
  • Wednesday 12:40-13:30 M13

If you have any class conflict due to this change, please contact Gökhan Benli.

Math116 Coordination.


Posted by MATH116 on 15.02.2019 under General