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Department of Applied Mathematics and Mechanics

Institute:

The Educational Scientific Institute of Civil Protection

Загальна інформація
- Історія виникнення
- Науково-педагогічний склад
- Дисципліни, які викладаються
- Матеріально-технічна база
Наукова діяльність кафедри
- Напрямки наукових досліджень
- Науково дослідна робота
- Науково-методична робота кафедри
- Наукова діяльність курсантів і студентів
Інформація абітурієнту
Дозвілля

Mathematics is the most beautiful and most powerful creation of the human spirit. (Stefan Banach)

Pure mathematics is, in its way, the poetry of logical ideas. (Albert Einstein)

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. (Nikola Tesla)

Mathematics is the art of giving the same name to different things. (Henri Poincare)

Mathematics is the most beautiful and most powerful creation of the human spirit. (Stefan Banach)

The history of the department dates back to the Department of Fundamental Disciplines, which emerged in 2001. In the period from 2001 to 2005, the department was headed by Andriy Danylovych Kuzyk, Candidate of Physical and Mathematical Sciences, Associate Professor, Colonel of the Civil Defense Service. From 2005 to May 2013, the head of the department was Candidate of Technical Sciences, Associate Professor, Colonel of the Civil Protection Service Bodnar Hryhoriy Yosypovych. In May 2013, the Department of Fundamental Disciplines was renamed the Department of Applied Mathematics and Mechanics. Doctor of Physical and Mathematical Sciences, Professor Roman Maryanovich Tatsiya has been appointed Head of the Department.

The Department of Applied Mathematics and Mechanics belongs to the Educational and Scientific Institute of Civil Defense and provides the educational process in all institutes, faculties and departments of the Lviv State University of Life Safety.

History of the department:

Department history dates back to the Department of fundamental disciplines that was established in 2001. In the period from 2001 to 2005 the department was headed by Candidate of Sciences, Associate Professor, Colonel of Civil Defence Service Andriy Kuzyk. From 2005 to May 2013 Candidate of Sciences, Associate Professor, Col. Hrygoriy Bodnar took a position of the Head of Department. In May 2013 the Department of fundamental disciplines was renamed to Department of Applied Mathematics and Mechanics. Position of the Head of the Department is held by Doctor of Sciences, Professor Roman Tatsiy. Department of Applied Mathematics and Mechanics provides educational process in all institutions, faculties and departments of Lviv State University of Life Safety.

Research and teaching staff:

	Head of Department Roman TATSIY Doctor of Physical and Mathematical Sciences, Professor Scientific works in the repository
	Associate Professor of the Department Olena VASILIEVA Doctor of Technical Sciences, associate professor Colonel of Civil Defense Service Scientific works in the repository
	Associate Professor of the Department Lidiia DZYUBA Doctor of Technical Sciences, associate professor Scientific works in the repository
	Associate Professor of the Department Taras HEMBARA Candidate of Technical Science, associate professor Scientific works in the repository
	Associate Professor of the Department Oksana KARABYN Candidate of Physical and Mathematical Science, associate professor Scientific works in the repository
	Associate Professor of the Department Oksana TRUSEVYCH Candidate of Physical and Mathematical Science, associate professor Scientific works in the repository
	Associate Professor of the Department Oksana CHMYR Candidate of Physical and Mathematical Science, associate professor Scientific works in the repository
	Associate Professor of the Department Myroslava KUSII Candidate of Pedagogical Science, associate professor Scientific works in the repository
	Lecturer of the Department Ivanna SOVYAK

Courses are taught at the department:

Higher mathematics

Discrete mathematics

Research of operations in transport systems

Critical thinking

Linear algebra and analytical geometry

Mathematical analysis

Mathematical methods of operations research

Mathematical optimization methods

Mathematical modeling and applied mathematics

Material science and materials technology

Methodology and organization of scientific research

Metrology and standardization

Reliability of technical systems and technogenic risk

Basics of system analysis

System analysis and modeling

Applied mechanics

System analysis and decision making

Social and demographic statistics

Special mathematics course

Special sections of mathematics

Statistical analysis

Statistical methods in psychology

Probability theory and mathematical statistics

Catastrophe theory

Technical mechanics

Theoretical mechanics

Scientific-methodical work of the department:

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The main purpose of the teaching and methodological work of the scientific and pedagogical staff of the department is to train highly qualified specialists with a high level of knowledge, which are necessary in their further professional activity. For this purpose, modern teaching methods are used, including multimedia lectures, relevant computer programs and operating laboratories.
The staff of the department is working on the development of new textbooks. Training manuals with the MES stamp have been published

Gulida E.M., Dzyuba L.F., Olkhovy I.M. Applied Mechanics: Textbook / Ed. E.M.Gulida. - Lviv: World, 2007. - 384 p.
Gulida E.M., Olkhovy I.M., Dzyuba L.F. Collection of problems in applied mechanics. Tutorial / Ed. E.M.Gulida. - Lviv: LSU LS, 2011. - 328 p.
Kuzik A.D., Menshikova O.V., Chmir O.Y. Probability theory and mathematical statistics. Tutorial. - Lviv: SPOLOM, 2012. - 192 p.

For independent work of cadets and students the following guidelines have been issued:

Olkhovyi I.M., Dzyuba L.F., Bodnar G.Y. Collection of tasks for independent work in the course "Applied Mechanics";
Gulida E.M., Dzyuba L.F. Olkhovy I.M., Bodnar G.Y. Applied mechanics. Methodical instructions and tasks for the course work;
Bodnar G.Y., Sparrow B.S., Dzyuba L.F., Olkhovy I.M. Methodical instructions and tasks for performing the calculation and graphic work in the course "Theoretical Mechanics" in three parts (statics, kinematics, dynamics);
Menshikova O.V, Karabin O.O, Chmir O.Y. Research of operations in transport systems. Tasks to perform control work by students of the correspondence department;
Kuzik A.D., Trusevich O.M., Karabin O.O., Menshikova O.V., Kusiy M.I., Chmir O.Y. Methodical instructions and tasks for the execution of calculus works in higher mathematics for cadets and students of different directions of preparation (10 methodical instructions covering all sections of higher mathematics);
Tatsiy R.M., Stasyuk M.F. Chmir O.Y. Equations of mathematical physics Methodical instructions for independent work for specialists and masters.

Tutorials published with the Academic Council stamp LSU LS:

Stasyuk M.F., Karabin O.O., Kusiy M.I. Statistical analysis. - Lviv: LSU LS, 2015. - 132 p.
Tatsiy R.M., Stasyuk M.F., Trusevich O.M. Integral calculus. - Lviv: LSU LS, 2019. - 135 p.
Tatsiy R.M., Chmyr O.Y., Kusiy M.I. Elements of linear and vector algebra and analytic geometry. - Lviv: LSU LS, 2017. - 126 p.

The department's employees pay great attention to the development of the material-technical base of the department, modernization of existing laboratories, production and development of new laboratory works in the courses of mathematics and mechanics. A textbook with the stamp of the Academic Council of the University "Mathematical Methods in Psychology. Laboratory Workshop »(Karabin O.O., Chmyr O.Y., Menshikova O.V.), Laboratory Workshop on Applied Mechanics (Gulida E.M., Dzyuba L.F., Olkhovy I.M., Vorobets B.S.)

Metodical Developments of the Department

Higher mathematics

Full-time education

Linear and vector algebra.

Analytical geometry.

Second-order curves.

Differential and integral calculus.

Complex numbers.

Differential equations.

Rows.

Probability theory and mathematical statistics.

External form of education

Tasks and Methodical Instructions for Performing Tests by the Students of the Distance Learning Department (Part I)
Tasks and Methodical Instructions for Performing Tests by Students of the Distance Learning Unit (Part II)

Probability theory and mathematical statistics

Full-time education

Methodical instructions and tasks for students and students of the course "Practical psychology"

External form of education

Methodical instructions and tasks for carrying out control work by students of the correspondence form of training of the direction of preparation "Practical psychology"

Research of operations in transport systems

External form of education

Tasks and methodical instructions for performing the control work by students of the correspondence department

Technical mechanics

Methodical instructions, tasks and examples of solving problems for students and students of the direction of preparation "Labor protection"

Applied mechanics
Methodical instructions, tasks and examples of solving problems for students and students of the directions of preparation "Fire safety" and "Civil protection"

Theoretical mechanics

Dynamics
Kinematics
Statics

Areas of research:

Discrete-continuous problems and models;
     Loss of resistance of elements of building structures under the influence of high temperatures;
     Impulse differential systems as a means of solving discrete-continuous problems;
     Investigation of stressed and deformed states in tanks under the influence of temperature and force loading;
     Dynamics and strength of sawing equipment

Science students and cadets:

<p>Lecturers of the department actively involve cadets and students in scientific work. A scientific organization of cadets and students (headed by Assoc. Prof. Oksana Karabyn) is created and operates at the department, whose members participate in scientific conferences and competitions. The results of their work are published in national and foreign editions.<br />
The students and students under the direction of the teachers of the department participate in the All-Ukrainian Student Olympiads.</p>

<div class="rtejustify"><br />
 Since 2012, the Department organizes a conference of cadets and students "Mathematics that surrounds us: past, present, future", which involves students and students of both our university and students of other higher educational institutions of Ukraine.</div>

<div class="rtejustify"><br />
 In addition to the scientific work provided for by the individual plan, the scientific and pedagogical staff of the department perform other types of work on a public basis. Associate Professor Chmir O.Y. has been responsible for testing for a long time at the university. Associate Professor Kusiy M.I. is the head of pre-university training courses.</div>

Cultural events, entertainment:

On September 13, 2013, within the framework of the XX International Book Publishers Forum in Lviv, the participants of the theater group of LSU LS took part in the presentation of Ruslan Horovy's book "Gagarin and Barcelona" with the theatrical production of individual parts under the direction of the lecturer of the Department of Ukrainian Studies. The author of the book is the organizer and the leader of the well-known project “Searching for Children”.

On September 24, 2014, students and cadets of the Transport Technologies training course at Lviv State University of Life Safety visited a permanent fire-fighting exhibition located at the Main Directorate of the State Emergency Service of Ukraine in Lviv region.

The excursion begins in the hall of the history of firefighting in Galicia and Western Ukrainian lands. The large number of photographs, documents and exhibits made a great impression on the visitors.

In the next hall, students and cadets will be introduced to the main causes of fires and emergencies, the means and methods of their elimination, methods of prevention.
By the 20th anniversary of the Chernobyl disaster, the headquarters opened a new room, which contained various evidences of the world's largest man-made disaster.

October 16, 2014 students and cadets of the Transport Technologies course of Lviv State University of Life Safety as part of raising the level of knowledge about the cultural heritage of Poland, as well as its history and contemporary social problems, watched the movie "Heart in the Palm" starring with a Ukrainian actor theater and cinema, winner of the B. Shevchenko Prize B. Stupka at the Third Polish Film Festival for the Promotion of Polish Art in Lviv.

The specifics of the films of this film festival is that the Ukrainian viewer can listen to Polish, which is used in everyday life. And these films are accompanied by professional subtitles in Ukrainian.

February 25, 2015 students and cadets of the Transport Technologies training course together with curators Pasnak IV and Chmir O.Y. visited the only museum of disease history in Ukraine, Department of Pathanatomy, Lviv National Medical University. Danylo Halytsky.

The museum was opened in 1896, and the first head of the department of pathotomy, Andrzej Obzhut, brought it from Prague.

Today, part of this room is occupied by shelves with exhibits or, in other words, large test tubes with human organs, body parts and unborn children.

March 18, 2015 students and cadets of the Transport Technologies training course together with curators Pasnak IV and Chmir O.Yu. visited the Museum of Ethnography and Crafts, which is a structural unit of the Institute of Ethnology of the NAS of Ukraine. Its stock collections total about 100,000 storage units. The Museum of Ethnography and Artistic Craft of the Institute of Ethnology of NAS of Ukraine (MHPP) is a rich treasure trove of monuments of traditional Ukrainian folk culture and folk art, as well as samples of decorative and applied art of many peoples of the world.

April 2, 2015 students and cadets of the Transport Technologies training course together with the curator Chmyr O.Yu. visited the first and only brewery museum in Ukraine in Lviv. The museum, which consists of five exhibition halls, features an exclusive collection of various exhibits, among which you can see ancient beer bottles embossed with branded glass; antique beer mugs from different European countries and made in different styles; beer barrels, advertising products, recipe books of the late 19th century; The legendary traditions of making amber drink at Lviv Brewery are covered in detail. Today, Lviv Brewery is the oldest brewer in Ukraine.

May 17 - Remembrance Day for Victims of Political Repression. May 14, 2015 students and cadets of the Transport Technologies training course together with curators Pasnak IV and Chmir O.Yu. decided to visit the National Museum-Memorial of the Victims of Occupation Regimes "Prison on Lutsk.

The prison, which served various occupation regimes (Polish, German, Soviet) and is a symbol of the gravity of the Ukrainian struggle for independence. What happened in prison is the epitome of crimes against humanity that cannot be forgotten. The prison reflects the relationship between the tragedy of Western Ukraine and the rest of Ukraine during the repression of occupation regimes, and the tragedies of other peoples and countries that came under totalitarian regimes.

The memorial, as a site of collective memory of the tragedy surrounding the massacre of people who resisted (or suspected) resistance to the occupation regimes, is a historical monument. This object lost its ill-fated original purpose of being a prison and at the same time revealed the counter-intuitive idea of human resistance to occupation regimes. The museum communicates this idea in two key slogans "Never again!" And "For the sake of freedom!"

March 17, 2016 students and cadets of the Transport Technologies and Fire Safety training courses together with curators Pasnak IV and Chmir O.Yu. visited the Museum of History of the Hetman's Academy named after Peter Sahaidachny. The museum, consisting of nine halls, covers the history of military education in Galicia and the development of the Hetman Peter Sahaidachny Academy of Land Forces.

The exposition is full of rare photographs, awards, uniforms of cadets, generals and officers, weapons of different periods, personal belongings belonging to the graduates.

The museum also mentions alumni who have given their lives for the peace in Ukraine and who should be remembered by each of us.

The International Cooperation Hall features exhibits highlighting the international relations of the Land Forces Academy. Hetman Peter Sagaydachny with military educational institutions of Europe, Asia, America, Canada.

Scientific research work:

The department carries out research work. The team of mechanics checked the assessment of the strength of the load-bearing elements of the emergency rescue device "Trinig" taking into account the static and dynamic loads, provided the legs support at different levels. This device is currently used for emergency rescue work by the training fire and rescue unit of the University. Two contractual topics were fulfilled (Bodnar G.Y., Olkhovy I.M., Dzyuba L.F.). Adjuncts and Masters under the guidance of Bodnar G.Y., Tatsiya R.M., Kuzika A.D., Dziubi L.F. carry out scientific research. The results of the scientific works of the pedagogical staff of the department were reported at numerous international scientific conferences published in professional journals. Results of scientific activity of Professor Tatsiy R. and Associate Professor Stasiuk M. summarized in the monograph "Generalized differential equations", in addition, in co-authorship with Mahney O. Professor Tatsiy R. published in 2012 a monograph "Singular quasi-differential operators at finite interval".

Information for entrants:

Mathematics entrance test program
for admission to the first course of study for obtaining a bachelor's degree qualification based on a complete general secondary education

The purpose of the entrance test in mathematics is to assess the degree of preparedness of students in mathematics for the purpose of competitive selection for study at the Lviv State University of Life Safety.

Tasks of the entrance test in mathematics is to evaluate the knowledge and skills of entrants:

§ perform mathematical calculations (perform actions with numbers given in different forms, actions with percentages, add and solve problems in proportions, approximate calculations, etc.);
§ perform expression transformations (understand the meaning value of each element of the expression, find valid values of the variables, find the numerical values of the expressions at given values of the variables, etc.);
§ to build and analyze graphs of the simplest functional dependencies, to study their properties;
§ to solve equations, uncertainties and their systems;
§ find the number of characteristics of geometric shapes (lengths, sizes of whales, areas, volumes);
§ solve the simplest combinatorial problems and calculate the probabilities of random events;
§ analyze information presented in graphical, tabular, textual and other forms.

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