Infopaket

Mathematical analysis 2

ОК.10

Обов’язкова дисципліна для ОП

First

2023/2024

3 Semester

6

PH1. Demonstrate knowledge and understanding of basic concepts, principles, theories of fundamental and applied mathematics and use them in practice. PH2. To have basic principles and methods of mathematical, complex and functional analysis... PH14. Demonstrate the ability to self-study and continue professional development. PH15. To be able to organize one's own activities and obtain a result within a limited time. PH16. Demonstrate the skills of interaction with other people, the ability to work in teams. PH18. Communicate effectively about information, ideas, problems and solutions with specialists and society in general. PH20. Demonstrate professional communication skills, including oral and written communication in Ukrainian and at least one other common European language.

Full-time form

1) Know the content of the school course in mathematics, algebra and the beginnings of analysis, geometry. 2) To be able to solve problems within the school course of mathematics, algebra and the beginnings of analysis, geometry. 3) Master the material of the "Mathematical Analysis 1" course.

The course of mathematical analysis 2 consists of the following sections: improper integrals, integrals dependent on parameters, Fourier series, multiple integrals, curvilinear and surface integrals.

Osnovnij perelik 1. Dorogovcev A.Ya. Matematicheskij analiz. Kratkij kurs v sovremennom izlozhenii. – Kiev, Fakt, 2004 – 560 s. 2. Fihtengolc G.M. Osnovy matematicheskogo analiza. 2 toma – Moskva, Nauka, 1 tom 1968 – 440 s, 2 tom 1968 – 464 s. 3. Lyashko S.I., Boyarchuk A.K. i dr. Sbornik zadach i uprazhnenij po matematicheskomu analizu – Moskva-Sankt-Peterburg-Kiev, Dialektika, 2001 – 432 s. 4. Demidovich B.P. Sbornik zadach i uprazhnenij po matematicheskomu analizu – Moskva, Nauka, 1977 – 528 s. 5. Natanson I.P. Teoriya funkcij veshestvennoj peremennoj. – Moskva, Nauka, 1974 – 480 s. 6. Dorogovcev A.Ya. Elementy obshej teorii mery i integrala. – Kiev, Fakt, 2007 – 156 s. 7. Lyashko I.I., Boyarchuk A.K., Gaj Ya.G. i dr. Spravochnoe posobie po matematicheskomu analizu. Chast 1. Vvedenie v analiz, proizvodnaya, integral. – Kiev, Visha shkola, 1978 – 696 s. ...

Lectures. Practical. Consultations. Independent work

Semester assessment: 1) modular control work I - 25 points 2) modular control work II – 25 points 3) combined assessment for practical classes – 10 points 4) additional points - up to 15 points Final assessment in the form of an exam: – 40 points Conditions for admitting students to the final exam: at least 36 points for the semester evaluation. Conditions for obtaining an overall positive grade in the discipline: at least 24 points on the final exam.

Ukrainian