Further Mathematics

Course: Natural Sciences. Integrated program

Structural unit: heohrafichnyi fakultet

Title
Further Mathematics
Code
ОК 3
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
PLO 04. Use information technologies, cartographic and geo-informational models in the field of Earth Sciences. PLO 08. Apply models, methods, and data of Physics, Chemistry, Biology, Ecology, Mathematics, information technologies, etc. when studying natural processes of formation and development of geospheres. PLO 14. Apply innovative pedagogical technologies in secondary education for teaching an integrated course of natural sciences.
Form of study
Prerequisites and co-requisites
Knowledge of school mathematics at the level of secondary education.
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, limit and continuity of a function , derivative, differential, elements of probability theory and mathematical statistics. These basic mathematical concepts are necessary for preparing students to use the methods of linear, vector algebra, analytical geometry, mathematical analysis, mathematical statistics for understanding tools, mathematical methods and models, which are 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.
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 імоделі, 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
Lecture classes, practical classes using mathematical packages
Assessment methods and criteria
Written modular tests, assessment of work in practical classes, assessment of tasks for independent work. Credit is assessed on a 40-point scale. Theoretical questions according to the course program, typical and complex problems are submitted for assessment. In total, you can get from 0 to 40 points for the credit. A condition for achieving a positive grade for a discipline is obtaining at least 60 points.
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