In 1940 in Stanislav (now Ivano-Frankivsk) Stanislav Teacher Institute was opened to ensure the training of teaching staff. The Institute operated three faculties: history, philology, physics and mathematics. The faculty of physics and mathematics carried out the training of teachers of physics and mathematics.

In 1944, the department of physics and mathematics was divided into two separate departments: department of physics and department of mathematics. In September 1971 with the aim of deepening the mathematical training of the teachers of mathematics the department of mathematics was divided into the mathematics department and the department of mathematical analysis. Professor Bogdan Vasylyshyn was elected to the head of the department of mathematical analysis. Later he became the first vice-rector of Vasyl Stefanyk Precarpathian National University that was based at the Pedagogical Institute in August 1992 and received national status in August 2004.

In 2001 the department of mathematical analysis was divided into department of mathematical analysis and applied mathematics and department of informatics. In 2007 the department of mathematical analysis and applied mathematics was divided into department of mathematical and functional analysis and department of differential equations and applied mathematics.

In 2013-2021 the department of differential equations and applied mathematics was headed by Professor Roman Zatorskii.

Professor Marian Dmytryshyn heads the department of differential equations and applied mathematics now. Associate Professors Taras Goy, Anatolii Kazmerchuk, Pavlo Vasylyshyn, Viktor Mazurenko and Oleksandr Makhnei work at the department now.