Higher mathematics

Course: «Geoecology and Ecosystem Services»

Structural unit: heohrafichnyi fakultet

Title
Higher mathematics
Code
ОК 04
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
4
Learning outcomes
PR01. Collect, process and analyze information in the field of science about the Earth, geoecology, marketing, etc restoration of ecosystem services. PR07. Apply models, methods and data of physics, chemistry, biology, ecology, geoecology, mathematics, information technologies, etc study of natural processes formation and development of geospheres. PR09. Be able to do research geospheres using quantitative methods of analysis.
Form of study
Prerequisites and co-requisites
For the better assimilation of the educational material of the discipline, students must possess elementary skills and knowledge of mathematical disciplines studied in general education educational institutions to solve specific practical problems. Have knowledge elementary mathematics. Have the ability to solve elementary problems mathematician, work independently with scientific methodical and scientific mathematics literature
Course content
Educational discipline "Higher mathematics" is a compulsory educational component and is taught in the first semester. The scope of the academic discipline is 4 ECTS credits. Disciplines are considered in the program fundamental concepts of linear and vector algebra, analytic geometry, mathematical analysis. During the implementation of the course program, students will acquire knowledge of theory of matrices, determinants, systems of linear equations, vectors in space and on the plane, will study the concepts of scalar, vector and mixed products and their properties, will study mutual placement of lines and planes in space, master the concepts of continuity functions, limits of functions, differentiation, integration. These basic mathematical concepts necessary for preparing students to use general mathematical methods c further training courses, promoting the development of logical and analytical thinking students for use in applied programs when studying educational disciplines program "Geoecology and ecosystem services" specialty 103 "Earth sciences".
Recommended or required reading and other learning resources/tools
1. Вища математика: основні означення, приклади і задачі. За ред. Кулініча Г.Л. К.: Либідь, 1992. 288 с. 2. Вища математика: Підручник: У 2 кн. 2-ге вид. За ред. Кулініча Г.Л. К.: Либідь, 2003. 3. Вища математика. Підручник. За ред. Пономаренка В.С. Харків: Фоліо, 2014. 669 с. 4. Гординський Л.Д., Грисенко М.В., Кушніренко С.В. та ін. Методичні вказівки та контрольні завдання для самостійної роботи студентів з курсу “Вища математика”. К.: ВПЦ “Київський університет”, 2002. 78 с. 5. Кушніренко С.В. Методична розробка з курсу “Основи вищої математики” для студентів ННЦ “Інститут біології та медицини”. К., 2019. 257 с. Режим доступу: http://www.mechmat.univ.kiev.ua/wpcontent/uploads/2019/10/metod_kushnireno.pdf
Planned learning activities and teaching methods
Lectures, practical occupation, independent work
Assessment methods and criteria
Control work, oral respond, self assessment steady classes Lectures, practical occupation, independent work Oral respond
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Tetiana V. Shovkoplyas
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