Higher mathematics with the basics of statistics and probability theory
Course: TRANSBORDER ENVIRONMENTAL COOPERATION
Structural unit: heohrafichnyi fakultet
Title
Higher mathematics with the basics of statistics and probability theory
Code
ОК 02
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2022/2023
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
4
Learning outcomes
P05. Collect, process and analyze information in area of geographical sciences for cross-border needs,
national, regional and local complex environmental projects.
P06. Use Information Technology,cartographic and geoinformation models at study of landscape
structure of the territory, implementation complex ecological projects
P08. Apply models,methods of physics, chemistry, geology,ecology, mathematics,information technologies etc. when studying natural sciences and social processes formation and development
landscapes and their components
Form of study
Full-time form
Prerequisites and co-requisites
Knowledge of school mathematics at the level of secondary education.
Course content
The following fundamental concepts of higher education are considered in the discipline program
mathematics as sets, functions and relations on sets, matrices
determinants and actions with them, coordinate systems, vectors and operations with them,
equation of lines on a plane, equation of a straight line and a plane in space, boundary and
continuity of function, derivative, differential, elements of mathematics
statistics
These basic mathematical concepts are necessary to prepare students for
the use of methods of linear, vector algebra, analytical geometry,
mathematical analysis, mathematical statistics for understanding means,
mathematical methods and models used in the future
training courses when conducting practical statistical research in
natural geography in the application of geoinformation systems and technologies,
promoting the development of students' logical and analytical thinking.
The functional block of the discipline involves mastering the following
components, such as the ability to apply knowledge of higher mathematics in
geographical studies.
Recommended or required reading and other learning resources/tools
1. Валєєв К.Г., Джалладова І.А. Вища математика: Навчальний посібник: У 2-х ч.
– Ч.1.- К.: КНЕУ,2001.
2. Валєєв К.Г., Джалладова І.А. Вища математика: Навчальний посібник: У 2-х ч.
– Ч.2.-К.: КНЕУ,2002.
3. Вища математика: Основні означення, приклади і задачі. За ред. Кулініча Г.Л.
К.: Либідь, 1992.
4. Вища математика: Підручник: У 2 кн. – 2-ге вид., - За ред. Кулініча Г.Л. К.:
Либідь, 2003.
5. Грисенко М.В. Математика для економістів: Підручник .- К.:
ВПЦ « Київський університет», 2012.- 663с.
6. Грисенко М.В. Математика для економістів. Методи і моделі, приклади і
задачі: Навч. посібник.- К.: Либідь, 2007.- 720с
7. Керекеша П.В. Лекції і вправи з вищої математики.-О. "Астроприт". 2003.
8. Вища математика. Підручник. За ред. Пономаренка В.С.- Харків. 2014.
Planned learning activities and teaching methods
lectures,practical classes, with sing mathematical packages
Assessment methods and criteria
written modular control works,evaluation of work on practical classes,assessment performance of tasks
for independent work
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Farkhod
Anvarovich
Asrorov
The Department of General Mathematics
Faculty of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv
Faculty of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv
Departments
The following departments are involved in teaching the above discipline
The Department of General Mathematics
Faculty of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv