Higher mathematics with the basics of mathematical statistics

Course: Cartography, Geographic information systems, Earth remote sensing

Structural unit: heohrafichnyi fakultet

Title
Higher mathematics with the basics of mathematical statistics
Code
ОК 12.
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
2 Semester
Number of ECTS credits allocated
3
Learning outcomes
Use professional Ukrainian language orally and in writing (PR02) Apply models, methods and data of physics, chemistry, biology, ecology, mathematics, information technologies, etc. when studying natural and social processes and phenomena of formation and development of geospheres (PR07) To be able to carry out studies of geospheres using quantitative methods of analysis (PR09)
Form of study
Full-time form
Prerequisites and co-requisites
Knowledge of school mathematics, VET level.
Course content
The discipline program covers such fundamental concepts of higher mathematics as sets, functions and relations on sets, matrices, determinants and actions with them, coordinate systems, vectors and operations with them, equations of lines on a plane, equations of a straight line and a plane in space, the limit and continuity of a function , derivative, differential, elements of mathematical statistics. These basic mathematical concepts are necessary to prepare students to use the methods of linear, vector algebra, analytical geometry, mathematical analysis, etc., to understand the tools, mathematical methods and models used in further training courses when conducting practical statistical research in natural geography in the application of geographic information systems and technologies, promoting the development of students' logical and analytical thinking. The functional block of the discipline involves mastering such components as the ability to apply knowledge of higher mathematics in cartographic research.
Recommended or required reading and other learning resources/tools
1. Higher mathematics: Textbook: In 2 books. - 2nd ed., edited by Kulinicha G. L. – K.: Lybid, 2003. 2. Gordynskyi L. D., Grysenko M. V., Danilov V. Ya., Pereguda O. V., Methodical instructions and control tasks from the course "Higher Mathematics" for conducting modular rating works for students of the natural sciences faculties of the university. Part 1. Kyiv: Information and Publishing Center of the "Knowledge" Society of Ukraine, 2000. - 66 p. 3. Gordynskyi L. D., Danilov V. Ya., Pereguda O. V., Kapustyan O. V. Methodical instructions and control tasks for independent work of students from the course "Higher mathematics" (Derivative and its application). - K.: VOC "Kyiv University", 2004. - 35 p.
Planned learning activities and teaching methods
Lecture classes, practical classes using mathematical packages, written modular tests, assessment of work in practical classes, evaluation performance of tasks for independent work, credit.
Assessment methods and criteria
The level of achievement of all planned learning outcomes is determined by the results of written test papers and the results of work in practical classes. The contribution of learning results to the final grade, provided they are mastered at the appropriate level and all assignments are successfully completed, is as follows: 1. learning outcomes 1.1 – 1.10 [knowledge] up to 55%; 2. learning result 2.1 – 2.6 [skill] – up to 30%; 3. learning outcome 3 [communication] – up to 5%; 4. learning outcome 4 [autonomy and responsibility] – up to 10%. Discipline control is carried out according to the modular rating system. The results of students' educational activities for the semester are evaluated on a 100-point scale. The system of evaluating students' knowledge of the discipline includes the following forms: semester and final knowledge evaluation.
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

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