WIU student’s ‘beautiful solution’ for math problem to be published

Noah Seys math problem
A math problem solved by Western Illinois University student Noah Seys will be published in the Mathematical Association of America 2023 publication, “American Mathematical Monthly.” CREDIT WIU

A math problem solved by Western Illinois University student Noah Seys will be published in the Mathematical Association of America 2023 publication, “American Mathematical Monthly,” WIU announced.

The William Lowell Putnam Mathematical Competition exam consists of 12 questions between session A and B. Each year, the Putnam Problems Committee and Competition Leadership group select one solution for every question to be published.

Mr. Seys participated last December in the 83rd William Lowell Putnam Mathematical Competition. His response to Problem B1 stood out of the 3,415 student responses, with only 300 of the students receiving full credit for their solutions.

According to Daniel Ullman, the Putnam competition director, Mr. Seys’ answer was chosen for publishing due to it being a “beautiful solution” to the problem.

In order to take the exam, Mr. Seys reached out to WIU Mathematics Professor Susan Brooks who was delighted to administer it.

“Seys has taken five of my courses, and in that time he has proven himself to be a fantastic student,” said Ms. Brooks.

The impression Mr. Seys left on Ms. Brooks led her to offer him to be her student learning assistant in the 2023-24 academic year. “Because of Noah’s command of the subject area and his ability to clearly explain his solutions, he was the perfect candidate,” she said in the release.

When asked about his preparation for the exam, Mr. Seys said “I actually did not set aside any time preparing for the competition because I found myself too busy with school and student organizations.” 

“However, doing math problems that require me to think outside the box is something I like to do in my spare time,” he added.

“Although I’ve taken several classes with Professor Brooks, the things I learned in her Calculus II course were what really helped me solve Problem B1 on the 2022 Putnam exam. In particular, I made use of the Maclaurin series expansion of e^x, which is an important power series taught in Calculus II courses. The tricky part was carefully manipulating terms in the expansion so that it became clear that the problem boiled down to number theory, and I had done this in a way most people hadn’t, which is why the people who graded my solution found it so interesting.”

Mr. Seys’ solution will be published in the October 2023 issue of American Mathematical Monthly. 

For more information on WIU’s Mathematics program, visit wiu.edu/cas/mathematics_and_philosophy.

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