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
Full-time form
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
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