**LEONID DOHOTARU**

Head of the department

associate professor, doctor of physico-mathematical sciences

**CONTACT INFORMATION**

Address: 9/8, Studentilor str., block of study nr. 6

Tel: +373 22 50-99-31

E-mail:

** **

**I. GENERAL INFORMATION**

The engineering activity is connected with the study and design, construction and operation of different systems (installations, equipment) mechanical, construction, heating, electroenergetic, cybernetic, technological etc. Description of these systems (often mixed) requires the application of a rich arsenal of mathematical methods: differential equations, algebra and vector analysis, variational calculation, mathematical physics, complex variable functions, harmonic analysis, approximate methods, theory of probability etc.

The training of engineers includes a number of general subjects, theoretical mechanics, theory of elasticity, hydraulics, thermotechnics, electrotechnics and others, which can be exposed to an audience well trained in mathematics.

The first technical high school, in which the maths was raised to an appropriate level, was the Polytechnic School in Paris created at the end of the XVIII century. There activated world-class mathematicians such as Laplace, Monge, Lagrange, Poisson, Cauchy etc. This model was taken over by German Technical Universities and in the early XX century – by the Polytechnic Institutes in Russia, Romania and other countries. Requirements and normatives of the pedagogical process today are relatively standardized; they are applied successfully in TUM.

In the last decade secondary education in Moldova was restructured – it was passed to the system of lyceums. Some chapters of higher maths were included in lyceum educational programs.

According to European standards, in higher school, the course of higher mathematics is systematized and deepened, there are exposed in more details the diverse applications as well as some sections of mathematics necessary to the respective specialties.

At the opening of the Polytechnic Institute, a special attention was paid to the formation of a performant collective that could ensure the educational process in accordance with the requirements above, to become a veritable scientific core, to be able to collaborate with specialized departments.

The rector of the new institute, Sergiu RADAUTANU having physico-mathematical studies, grant a special importance to the math training of future engineers. Examining the collectives of mathematicians in the country of that time, he managed to create in short time the nucleus of the future department. At his request, Professor Valentin BELOUSOV was busy for several months (May-August 1964) with the selection of the teaching staff and the organization of entrance examinations. By the Minister of Education Order of August 20, 1964 I. I. VALUTA was transferred from the position of Dean of the Faculty of Physics and Mathematics of MSU inti the post of Head of Mathematics Department of the Polytechnic Institute. Some lecturers were transferred together their students from the State University and Agricultural Institute. There were employed also young people who returned from Doctorate or teachers of secondary schools.

By the Order nr. 37 of 31 August 1964 ther were appointed the following collaborators of the department: Vitalie MACAROV, Elena MUSTEATA, Victor LUNCHEVICI – senior lecturers; Lucretia SOCOLOV, Ala COSACIOV, Stefan GAJIM, Haim SEINBERG, Maia POPLAVSCHI, Lilia VUSTEAN, Dionis PROCA, Angela SPINEI, Alexei GRADINARU, Ion PLESCAN and Liubovi VINOGRADOV – assistants.

At the department, only its head had a doctoral degree in physics and mathematics, but in short time, V. MACAROV, V. LUNCHIEVICI, I. PLESCAN, D. PROCA, A. GRADINARU, ST. GAJIM had defended their thesis of doctors in science. In addition to those mentioned, could be named a number of teachers that during many years had successfully activated at the department: Petru OSMATESCU, Dumitru BOTNARU, Alexandru MOLOSNIUC, Serghei MIRON, Vasile ROJCO, Nicolae MORARU, Raisa GRIGOR, Ion PANICI, Vasile MALAI, Timofei LOPUSNEAC, Nicolai DIORDIEV, Leonid BIVOL, Eugen TABARTA, Gheorghe CEBAN, Ina CIRCOVA, Angelina DURADJI, Margareta COBAN, Zinaida SOROCHINA, Pavel CIUMAC, Gheorghe IONITA. At the department in different periods had activated illustrious mathematicians, founders of scientific schools, academicians Valentin BELOUSOV, Constantin SIBIRSCHI, Izrael GOHBERG and Eugeniu GREBENICOV.

In 2014, based on the Department was created the Department of Mathematics. The activity of the section has always been oriented to the formation of competent specialists in the areas of profile who will be advantageously integrated in the socio-economic environment through the program of study of mathematics disciplines.

**Heads of Department:**

- Ion VALUTA – 1964-1974; 1979-1999
- Mihai BULAT – 1974-1979
- Vasile PARASCA – 1971-1973
- Vitalie MACAROV – 1973-1978
- Gheorghe NOJAC – 1979-1990
- Tudor BOTEA – 1990-1994
- Mihail IZMAN – 1999-2004
- Vladimir DRAGAN – 2004-2009
- Leonid DOHOTARU – from 2009

In the years 1974-1999 there were two departments of mathematics.

** **

**II. DIDACTIC-METHODICAL ACTIVITY**

The Department provides educational process in all nine faculties of TUM. This area is always in the center of attention of the section activity. Every member of the department has manifested himself through speeches at the seminar “Methodology and mathematics teaching” in the annual university conferences. Teachers from the Section of Mathematics give lectures, practical lessons at the full-time, and reduced attendance students of the I year, in the subjects of superior math, linear algebra and mathematical analysis, I year, while at some faculties hold courses in upper years: applied mathematics, discrete maths, theory of probability and mathematical statistics, linear programming, operational research and other. Some teachers are involved in teaching courses for Masters. Mastery of teachers, training from a professional point is ensured by their active participation in scientific investigations mentioned above, including students involvement in elaborating and editing manuals and methodical works, laboratory works necessary for ensuring successful didactic process through active participation in republican, international and university mathematics Olympiads etc.

During the period of activity within the department ther were developed and published: over 70 methodical articles; more than 100 tips and methodical works with a volume of more than 400 sheets of print; 13 manuals and teaching materials, including some in several volumes:

- I. Valuta, G. Diligul. Mathematics (textbook for colleges). Moskva “Nauka”, 1980. Translated into Armenian. Second Edition, 1990,
- I. Goriuc, Elements of linear programming, Chisinau, „Lumina”, 1984,
- I. Scerbatchi, Mathematical Analysis Course (textbook, 3 volumes), Chisinau, „Amprenta”, v. I – 2000, v. II – 2002, v. III – 2004,
- A. Costas, M. Izman, Tests in mathematics, 2001,
- P. Ciumac (with coauthors), The theory of probability and mathematical statistics, „Tehnica”, TUM, 2003,

- Molosniuc, (with coauthors) Mathematics I – Mathematics V., Tehnica”, UTM.

**Monographs of the department employees:**

- Blaj, I. Valuta, I. Gumovschi, Economiceskie rasscety po modeleam optimalinogo planirovania. Chisinau, „Cartea Moldoveneasca” 1970
- Valuta, Otobrajenia, algebraiceskie aspecty teorii, Chisinău, Stiinta”, 1976

- M. Cioban, I. Valuta (coordinators), Elements of History of Mathematics and Mathematics in Moldova Republic. Chisinau, 2006
- V. Bostan (with coauthors), Renewable energy conversion systems, 2008.

Educational process is organized according to educational programs made by the titulars of the courses and approved of by at the respective Faculty Councils. The objectives of the disciplines are achieved through the efforts of all teachers and auxiliary teaching staff. Didactic methodical activity of the section is geared towards ensuring the quality of educational process through improvement of analytical programs and publishing of methodical works.

** **

**III. SCIENTIFIC RESEARCH ACTIVITY**

In essence, and formally and scientific researches of the department were included in the respective partitions of the Republican Plan of Research, coordinated by the Academy of Sciences of Moldova. Thus, from the beginning, there were established direct links with the Institute of Mathematics and Informatics (IMI) of the ASM, and that is very important, with other scientific centers in Moscow, Novosibirsk, St. Petersburg, Kiev, Minsk, Kazan and others. Unfortunately minor were the contacts with the centers in Europe, and those in Romania were declared undesirable, practically being forbidden, including the University of Iasi and this despite the fact that the most outstanding teachers-mathematicians, of the time – Vladimir Andrunachievici, brothers Boris and Victor Bacikov, Constantine Kozlovsky, Ludmila Vnoroskaia etc., were graduates of the University of Iasi.

After the breakup of the Soviet Union things returned to normal. Starting from the needs of the educational process at the department were established the following directions for research:

- General Algebra and its theoretical and applied adjacent compartments (universal algebra, topology, geometry, mathematical logic, applications in economics, linguistics etc.).
- Mathematical analysis (including the theory of differential equations, dynamical systems, functional analysis and other compartments, with applications).
- Teaching methodology and history of mathematics (current problems of organization the educational process, methods of teaching, history and methodology of mathematics etc.).

Further we will nominate the members of the department who have worked in directions (including subdirectories) indicated, who obtained scientific degrees or scientific-didactical titles while working at the department, or have essentially persevered in this regard during the respective period and then continuing activity eventually in other institutions.

- General Algebra and its theoretical and applied adjacent compartments. I. Valuta (dr., univ. prof.), D. Botnaru, V. Ursu (drs. hab., univ. prof.); I. Leah, P. Sclifos, Maria Izman, L. Ursu, I. Scerbatchi, E. Cojuhari, E. Zaharova, A. Costas, V. Bercov (drs.in sciences, assoc.prof.), St. Odobescu (assoc.prof).
- Mathematical Logic. E. Pavlova, I. Negru, M. Coban, V. Malai (drs.in sciences, assoc.prof.).
- Topology and Geometry. P. Osmatescu (dr., univ.prof.),V. Macarov (dr. hab., univ. prof.), E. Rusu, T. Botea (drs.in sciences, assoc.prof.).
- Mathematical analysis. Qualitative theory of ordinary differential equations. V. Lunchevici, I. Plescan, I. Circova (drs.in sciences, assoc.prof.), S. Costas.
- Dynamic Systems. V. Rojco, Mihai Izman, N. Ceban, V. Cernii (drs.in sciences, assoc.prof.), V. Orlov (dr.).
- Differential Equations in Partial Derivatives. N. Jitarasu (dr. hab., prof. univ.); D. Proca, Gh. Bacioi, V. Dragan, Gh. Nojac, Iu. Baltag, N. Moraru (drs.in sciences, assoc.prof.), I. Ocrain, N. Diordiev.
- Functional Analysis. P. Cojuhari (dr. hab., prof. univ,), I. Goriuc, V. Parasca, S. Miron (drs.in sciences, assoc.prof), V. Vizitei, V. Eni (drs.in sciences).

Applications in various areas. These activities originated, usually as a result of the Department of Mathematics collaboration with other departments and / or with some scientific units outside the Technical University.

- In Theoretical Physics and Mathematics. L. Dohotaru (Diagrammatic methods development for researching of strongly correlated electronic systems, dr.in sciences, assoc.prof.).
- In Economic Theories and Practices. A. Duradji, A. Gradinaru, V. Slobodeniuc (drs.in sciences, assoc.prof).
- V. Goncearenco, E. Tarasova (drs.in sciences, assoc.prof).
- Informatics, Cybernetics. M. Bulat, L. Bivol, S. Comanescu (drs.in sciences, assoc.prof).
- Probabilities, Mathematical Statistics. S. Gajim, V. Nagonenco, P. Ciumac (the first two people, doctors in sciences, the third interim assoc.prof.).
- Methodology of Teaching. Methodology and History of Mathematics. Activities in this field have been finished with two defended theses of PhD in pedagogy (A. Spinei and G. Diligul – collaborator of Electromechanical College and the Faculty of Economics).

After the independence of our Republic there intervened new possibilities in scientific-didactical activities consisting primarily in the establishment of close collaborations with scientific centers of Romania and other European countries. As a result of these collaborations can be mentioned the preparation and defending of doctor of science theses by E. Rusu, scientific advisors: professors Cabiria Cazacu (Bucharest) and Petre Osmatescu (TUM) and Ana Costas, scientific advisor: Professor Mihai Ursu (Oradea). The collaborator of Department V. Orlov successfully defended PhD thesis, scientific advisor M. Popa (IMI).

Members of the department participate in scientific projects financed by the Government and various international institutions, including: in 2004 – “Elaboration of constructive methods in applications of the KAM theory (Kolmogorov – Arnold – Mozer) and theory of asymptotic methods Bogoliubov in the theory of nonlinear oscillations, dynamics and stability in Liapunov sense “- coordinator: dr., sup. sc.r.,V. Dragan; in 2007-2008 – “Development, manufacture and experimental research of horizontal turbines with NACA wind profiles for hydraulic energy conversion systems” within the State Program “Ensuring the competitiveness of industrial products in machine building based on innovation know-how, new materials and advanced technologies “- coordinator: dr. hab. V. Bostan; in 2009-2010 – the project “Development and manufacture of industrial prototype of micro-hydropower plant with horizontal axis and hydrodynamic profile of blades for converting kinetic energy of rivers” the State Program “Valorisation of renewable energy sources in the Republic of Moldova and the development of Moldovan Satellite” – coordinator: dr. hab. V. Bostan.

The Department of Mathematics in 2001 co-organized the First Conference of Mathematicians in Moldova; in 2002 – organized a scientific conference dedicated to the memory of prof. P. Osmatescu involving mathematicians from other universities of Moldova and Romania; in 2006, in collaboration with the Polytechnic Institute of Munich – The 9th International Workshop on Computer Algebra in Scientific Computing.

At the department activates the scientific seminar founded by prof. P. Osmatescu. Some members of the department also participate in scientific seminars organized at MSU and IMI. The scientific results of the members of the section are presented at the scientific seminar of the department, as well as those from IMI, SUM at various scientific conferences of national and international among which: Odessa, Chernovtsy, Kiev (Ukraine), Novosibirsk, Dubna (Russia) Estergom (Hungary), Freiburg (Switzerland), Brasov, Pitesti (Romania), Cairo (Egypt) and others. Many members of the department participate in annual conferences CAIM organized by the Romanian Association of Industrial and Applied Mathematics, a member of the editorial board “Education”being I. Valuta.

At the department is carried out the training of doctoral theses, scientific advisors being, during the indicated period, professors I. Valuta, P. Osmatescu, D. Butnaru, E. Grebenicov, today these activities are performed by professors V. Ursu, V. Bostan, assoc.prof. L. Dohotaru and V. Dragan. The research activity are also involved students, who participate almost at all scientific conferences for students and PhD students. Members of the department have published over 300 scientific articles in various magazines in the country and abroad.

**IV. MATERIAL AND TECHNICAL BASE**

The department is equipped with a didactic-methodical room, 18 computers, 2 printers and a projector. The members of the department also appeal to the services of the FEMM Computing Center and TUM Library.

**V. COLLABORATIONS**

The Department of Mathematics in the field of scientific and didactic-methodical activities collaborates with: Institute of Mathematics and Informatics of the ASM, Moldova State University, State Pedagogical University of Tiraspol, University of Pitesti (Romania), University of Odessa (Ukraine), department “Nonlinear Analysis “, Computing Center” A. A. Dorodnitzyn “of Academy of Sciences of Russia, Sedlice University (Poland), Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research in Dubna (Russia) and others

**VI. COMPOSITION OF THE DEPARTMENT**

Nr.
| Name, surname,
| Educational background | Taught disciplines | E-mail |

1 | Dohotaru Leonid Head of the section, assoc.prof., dr. | - University degree:
Faculty of Physics, SUM. Physicist, professor of physics and mathematics, math teacher – higher grade. - Doctoral studies:
01.04.02 – Theoretical and Mathematical Physics. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Discrete Mathematics
- Operational Researches
- Mathematical Modelling of Transport Systems
- The theory of Probabilities and Information
| |

2 | Ursu Vasile univ. prof., dr. hab. | - University degree:
Faculty of Mathematics and Informatics, SUM. Mathematician, math teacher. - Doctoral studies:
01.01.06 –Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Linear Programming
- Theory of Algebraic Systems
| |

3 | Valuta Ion univ. prof., dr. | - University degree:
Faculty of Physics and Mathematics, State Pedagogical Institute “I. Creanga” - Mathematician, math teacher
- Doctoral studies:
01.01.06 – Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Mathematics logic and set theory
- Universal Algebra
- Applied Mathematics
- Mathematical Statistics
| |

4 |
assoc.prof., dr. | - University degree:
Faculty of Mathematics and Cybernetics, SUM. - Mathematician, math teacher.
- Doctoral studies:
01.01.02 – Differential equations. | - Elementary Mathematics
- Higher Mathematics 1, 2
· Applied Mathematics in Economics | |

5 |
assoc.prof., dr. | - University degree:
Faculty of Mathematics and Cybernetics, SUM. Mathematician, math teacher Doctoral studies: 01.01.02 – Differential equations. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

6 | Cojuhari Elena assoc.prof., dr. | - University degree:
Faculty of Mathematics and Cybernetics, SUM. Mathematician, math teacher. - Doctoral studies:
01.01.06 – „ Mathematical Logic, Algebra and Number Theory”. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Discrete Mathematics
- Operational Research
| |

7 | Costas Ana assoc.prof., dr. | - University degree:
Faculty of Physics and Mathematics, UST (based in Chisinau). Mathematician, Professor of Mathematics. - Doctoral studies:
01.01.06 – „ Mathematical Logic, Algebra and Number Theory”. | - Elementary Mathematics
- Competitive Elementary Mathematics
- Higher Mathematics 1, 2
| |

8 | Dragan Vladimir assoc.prof., dr. | - University degree:
Faculty of Physics and Mathematics Pedagogical University of Tiraspol. Mathematician, math teacher. - Doctoral studies:
01.01.02 – Differential equations.
| - Elementary Mathematics
- Higher Mathematics 1, 2
· Differential Equations with Finite Differences | |

9 | Goriuc Ion assoc.prof., dr. | - University degree:
Faculty of Mechanics and Mathematics, University “M. V. Lomonosov “Moscow. Mathematician. - Doctoral studies:
01.01.01 – Functional Analysis. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Functional Analysis
- The theory of functions of complex variable.
| |

10 | Izman Maria assoc.prof., dr. | - University degree:
Faculty of Physics and Mathematics, State Pedagogical Institute “I. Creanga” Mathematician, math teacher - Doctoral studies:
01.01.06 – Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

11 |
assoc.prof., dr. | - University degree:
Faculty of Physics and Mathematics Pedagogical Institute “Alecu Russo”. Mathematician, math teacher. - Doctoral studies:
01.01.06 – Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

12 | Negru Ion assoc.prof., dr. | - University degree:
Faculty of of Physics and Mathematics, SUM. Mathematician, math teacher. - Doctoral studies:
01.01.06 – Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Discrete Mathematics
- Linear Programming
| |

13 | Rusu Elena assoc.prof., dr. | - University degree:
Faculty of Mathematics and Cybernetics, SUM; Faculty of Computers, Informatics and Microelectronics, TUM. Mathematician, math and informatics teacher. - Doctoral studies:
01.01.01 – Mathematical analysis and Differential equations | - Elementary Mathematics
- Higher Mathematics 1, 2
· Operational Research | |

14 | Sclifos Petru assoc.prof., dr. | - University degree:
Faculty of Physics and Mathematics Pedagogical University of Tiraspol. Mathematician, math teacher - Doctoral studies:
01.01.06 – Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

15 | Ursu Leonid assoc.prof., dr. | - University degree:
Faculty of Physics and Mathematics Pedagogical Institute “Alecu Russo”. Mathematician, math teacher. - Doctoral studies:
01.01.06 – Mathematical Logic, Algebra and Number Theory. | - Elementary Mathematics
- Higher Mathematics 1, 2
· Applied Mathematics · Operational Research | |

16 | Nagonenco Valentina senior lecturer, dr.
| - University degree:
Faculty of Mathematics and Cybernetics, SUM. Mathematician, math teacher - Doctoral studies:
01.01.05 – Theory of Probabilities and mathematical statistics. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

17 |
senior lecturer, dr. | - University degree:
Faculty of Physics and Mathematics, UST (based in Chisinau). Mathematician, math teacher. - Doctoral studies:
01.01.02 –Differential Equations with Partial Derivatives. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

18 | Turcanu Alina senior lecturer, dr. | - University degree:
Faculty of Mathematics and Cybernetics, SUM. Mathematician, math teacher; Faculty of “Finance”, AESM. - Doctoral studies:
01.01.06 – „ Mathematical Logic, Algebra and Number Theory”. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

19 | Avornic Ana senior lecturer
| - University degree:
Faculty of Physics and Mathematics, USM. Mathematician, math teacher. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

20 |
senior lecturer | - University degree:
Faculty of Mathematics and Cybernetics, SUM. Mathematician, math teacher. - Doctoral studies:
01.01.01 – Mathematical analysis and Differential equations. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Discrete Mathematics
| |

21 | Cebotaru Elena senior lecturer
| - University degree:
Faculty of Mathematics, SUM. Mathematician, math teacher. - Master Studies:
Specialty: Pure Mathematics. - Doctoral studies:
01.01.02 – Differential equations. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

22 | Ciuhrii Veronica senior lecturer | - University degree:
Faculty of Mathematics and Informatics, SUM. Mathematician, math teacher. - Master Studies:
Specialty: Pure Mathematics. - Doctoral studies:
01.01.02 – Differential equations.
| - Elementary Mathematics
- Higher Mathematics 1, 2
| |

23 |
senior lecturer | - University degree:
Faculty of Mathematics and Informatics, SUM. Mathematician, math teacher. - Master Studies:
Specialty: Pure Mathematics. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

24 | Odobescu Stefan senior lecturer | - University degree:
Faculty of Mathematics, SUM. Mathematician, math teacher. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

25 | Popescu Aurica senior lecturer | - University degree:
Facultatea Matematică Aplicată, USM Matematician, profesor de matematică; Faculty of Accounting and Taxation the Republic of Moldova, AESM. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

26 | Stanciu Liuba senior lecturer | - University degree:
Faculty of Mathematics and Informatics, SUM. Mathematician, math teacher. - Master Studies:
Specialty: Pure Mathematics. - Doctoral studies:
01.01.02 – Differential equations. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

27 |
senior lecturer | - University degree:
Faculty of Physics and Mathematics Pedagogical University of Tiraspol. Mathematician, math teacher. | - Elementary Mathematics
- Higher Mathematics 1, 2
- Economic Mathematics
| |

28 | Crivoruc Iuliana university lecturer | - University degree:
Faculty of Mathematics and Informatics, SUM. Mathematician, math teacher. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

29 | Melnic Vladimir university assistant | - University degree:
Faculty of Mathematics and Informatics, SUM. Mathematician, math teacher. | - Elementary Mathematics
- Higher Mathematics 1, 2
| |

30 | Kuleva Liliana engineer
| - University degree:
Faculty Technology and Management in Food Industry, TUM. Licensed technologist engineer - Master Studies:
„ International relations”, Academy of Public Administration of the President of RM. - Doctoral studies:
05.18.12 – Processes and Equipment in Food Industry. |