He became associate professor in 1942 and the following year, he was appointed to professorship in the newly established Institute of Mathematics of the Faculty of Science of Ankara University (1943).

In his first years as a rector, he restored the building of a historical soup kitchen which was assigned by Wakfs to the university as a part of the Sehzade Mosque.

On 6 August 1971, by setting up a new printing system in it, he put the same building into service with the name of Research Institute for Mathematics of Faculty of Science.

Terzioğlu also established a mathematics library within this institute with a capacity of 2000 books which he provided through donations and purchase from foreign countries.

In a part of this land, 18 study rooms, 3 large conference halls, a library and a guest house to accommodate scientists coming from abroad were constructed in accord with his order.

To provide such an environment, he invited foreign scientists and organized congresses, seminars, colloquia, summer and progress courses in Silivri facilities which was opened into use on September 3, 1973.

Terzioğlu was elected as the honorary guest of this symposium and the title doctoris honoris causa was awarded to Prof. Dr. Rolf Nevanlinna by Istanbul University.

The first one is the preface of Mecmuatu'r-risail, the Arabic translation by Beni Musa b. Sakir (died in 873) of Conica, which is the work of Apollonius of Perga (BC 262–190) on the conic sections.

This preface, published with the title Das Vorwort des Astronomen Bani Musa b. Sakir, describes how the Apollonius' Conica was acquired by the Islamic world.

In the introduction part of this book with the title Das Achte Buch zu den Conica des Apollonios von Perge, the following information is provided in summary: In ancient mathematics, the interest for conics starts with Menaechmus (BC IV.

The 8th book of Conica reconstructed by Ibn el-Heysem is the 4th manuscript with the name Makalatu'l-Hasan b.el-Hasan b.el Heysem fi el-kitabu'l-mahrutat in the Mecmu'atu'r-risail, which is recorded under no.

As the part of the book he wanted to include related to the history of conics remained incomplete, it was removed from press and was published later with the title Kitab al-Mahrutat Das Buch der Kegelschnitte des Apollonios von Perge by the Research Institute for Mathematics.

For the first time, this award had been given to three young mathematicians in a ceremony at the Faculty of Science of Istanbul University on September 20, 1981, which is the fifth year of his death.

The second award in 1982 was given to a young mathematician in the opening ceremony of the International Symposium on Mathematics that was held on 14–24 September 1982 at the Karadeniz Technical University where Terzioğlu served as the founder-rector.