### Structure >> Department of Mathematical Analysis

The Department of Mathematical Analysis was formed in 1953 as a result of the division of the mathematics department, under the name of "Department of Higher Mathematics". In 1970 the department got its present name – the Department of Mathematical Analysis.

Throughout its history, the department was headed by:

1953-1964 – Associate Professor, PhD (Physics and Mathematics) B. Khatset, Honored Educator of the USSR, author of more than 30 works, including several books that were published and republished as textbooks for Higher Pedagogical Institutions of Ukraine and teacher manuals. B. Khatset was the first to form the department staff, hiring the best graduates of the school of Physics and Mathematics.

1964-1967 – Associate Professor, PhD (Physics and Mathematics) P. Karpenko.

1970-1976 – Associate Professor, PhD (Physics and Mathematics) H. Kysylevskyi, author of more than 30 works covering the results of academic research and dealing with methodology of teaching.

1976-1985– Associate Professor, PhD (Physics and Mathematics) L. Tarhonskyi, Honored Educator of the USSR, author of more than 30 works covering the results of academic research and dealing with methodology of teaching.

Since 1985 the department has been headed by Associate Professor, PhD (Physics and Mathematics) O. Herus, author of more than 50 works covering the results of academic research and dealing with methodology of teaching.

**The courses** covered by the department are Mathematical analysis, Algebra and Theory of numbers.

The department staff have developed training guidelines for all courses they provide training in. The European credit system has been introduced in student training and assessing. The staff have been carrying out a project entitled “Ways to improve professional training of prospective mathematics teachers” and have published a number of handbooks and tutorials for pupils and students:

- Tarhonskyi L.P., Osadchyi M.M., Herus O.F., Baranivska A.F. Mathematical Analysis . Functions of one variable. - Zhytomyr, 2002.
- Herus. O.F., Lenchuk I. H., Sarana O.A. Entrance examination in mathematics at Zhytomyr Ivan Franko State University : Tutorial. – Zhytomyr, 2002.
- Sarana O.A. Competitions in Mathematics: combining the simple and the complex: Tutorial. – Zhytomyr, 2002.
- Sarana O.A. Basic theory of harmonic and subharmonic functions: Tutorial. – Zhytomyr, 2002.
- Tarhonskyi L.P., Osadchyi M.M., Herus O.F., Baranivska A.F. Mathematical Analysis. Functions of many variables. – Zhytomyr, 2003.
- Sarana O.A. Competitions in Mathematics: combining the simple and the complex. – Kyiv, 2004.
- Sarana O.A., Yasinskyi V.V. Advanced Mathematical Problems Competitions in Mathematics. – Kyiv, 2005.
- Sarana O.A., Semenets S.P. Nonstandard Geometric Sums: Handbook. –

Zhytomyr, 2007.

- Sarana O.A. Combinatorial calculus. Basics of Probability Theory. – Kyiv, 2009.
- Sverchevska I.A., Prus A.V. Test Problems in Stereometry. – Zhytomyr, 2008.
- Sverchevska I.A. Linear Algebra. Algebra and Theory of Numbers: Handbook. – Zhytomyr, 2010.

In 2007-2009 the department staff carried out a research project entitled “Issues of complex and hypercomplex analysis” with advanced joint research of the department with the Institute of mathematics of NAS of Ukraine, scientific institutions of Mexico, Cuba, Israel. The results of the research have been presented at international conferences and seminars in Ukraine and abroad (in Poland, Germany, Mexico). A number of instructors underwent successful viva examination for the PhD degree, namely: D. Merzheievskyi (2004), A. Tarhonskyi (2006), I. Sverchevska (2007), M. Tkachuk and S. Hryshchuk (2008). Instructor R. Podvysotskyi has completed the postgraduate course; instructor V. Shpakivskyi is doing his postgraduate course.

**Specialties**

** **

- 6.040201 – Mathematics
- 6.040203 – Physics
- 6.040302 – Computer studies
- 6.040101 – Chemistry
- 7.010103 – Pedagogy and Methods of Secondary Education. Mathematics and physics
- 8.010103 – Pedagogy and Methods of Secondary Education. Mathematics

There is a permanent exhibition of the works authored by the department staff.

In terms of the Bologna Process integration the department introduced the credit and module into the training process on all the specialties and courses (under the university order ¹87 of August 11, 2004).