Infopaket

Higher mathematics

Обов’язкова дисципліна для ОП

First

2025/2026

1 Semester

5

PRN1. Be able to apply modern mathematical methods to solve practical problems related to the research and design of biotechnological processes. Use knowledge of physics to analyze biotechnological processes. PRN13. Be able to carry out a feasibility study for the production of biotechnological products for various purposes (determining the need for the target product and calculating production capacity). PRN16. Based on the knowledge gained during practice at enterprises and institutions, be able to carry out product calculations and calculations of technological equipment. PRN17. Be able to draw up a material balance for one cycle of the production process, equipment specifications and a stage control map with production control points.

Full-time form

1. Know: A complete course of secondary school mathematics. Basic theorems and methods of the mathematical disciplines of algebra and geometry, which are studied in general education institutions: properties and graphs of the simplest elementary functions, trigonometric formulas, concepts of derivative and integral, basic concepts of planimetry and stereometry. 2. Possess: methods of solving systems of algebraic systems of equations on inequalities, constructing graphs of functions; solving geometric problems; skills of differentiating and integrating functions, applying derivatives to the study of functions; skills of working independently with scientific and scientific-methodical mathematical literature.

The discipline "Higher Mathematics" is part of the educational-professional training program at the educational level "Bachelor" in the educational program "Biotechnology" in the field of knowledge 16 "Chemical and Bioengineering" specialty 162 "Biotechnology and Bioengineering". The curriculum consists of 2 content modules: Content module 1. "Fundamentals of linear, vector algebra and analytic geometry", Content module 2. "Fundamentals of mathematical analysis"

1. Barabash, G. M. Higher Mathematics for Biologists. Teaching and Methodological Manual. Part 2 / Galina Mykhailivna Barabash. – Lviv: LNU, 2014. – 110 p. 2. Higher Mathematics. Textbook. Ed. Ponomarenko V.S.–Kharkiv: Folio, 2014.–669 p. 3. Hrysenko M.V. Higher Mathematics for Economists. Textbook.- K.: VPC "Kyiv University", 2023. – 688 p. [Electronic resource] - Access mode: https://mechmat.knu.ua/wp-content/uploads/2023/09/pidruchnyk_vyshcha-matematyka-dlia-ekonomistiv_2023_hrysenko-m.v.pdf 4. Kushnirenko S.V. Methodological development of the course "Fundamentals of Higher Mathematics" for students of the National Scientific Center "Institute of Biology and Medicine" - K., 2019. - 257 p. [Electronic resource] - Access mode: http://www.mechmat.univ.kiev.ua/wpcontent/uploads/2019/10/metod_kushnireno.pdf

Lectures, practical classes, independent work

Semester assessment: 1. Modular test paper No. 1 (RN 1.1–1.2) – 14 points/7 points 2. Modular test paper No. 2 (RN 1.3–1.6) – 16 points/8 points 3. Oral answers (RN 1.1.– 3.1) – 10 points/5 points 4. Project work (RN 2.1.–2.2) – 20 points/10 points. Final assessment in the form of an exam

Ukrainian