Mathematical analysis 2
Course: System Analysis
Structural unit: Faculty of Computer Science and Cybernetics
Title
Mathematical analysis 2
Code
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
3 Semester
Number of ECTS credits allocated
12
Learning outcomes
Know the theoretical provisions (definitions and formulation of theorems) of mathematical analysis.
Know the justification (proof) of the main provisions (theorems) of mathematical analysis.
Be able to apply theoretical principles, techniques and methods of mathematical analysis in solving problems.
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the boundaries of numerical sequences and the boundaries and continuity of functions
2. Be able to solve problems related to calculating the boundaries of functions and sequences.
Course content
The discipline "Mathematical Analysis 2" is part of the educational and professional training program for the first (bachelor's) level of higher education in the field of knowledge 124 "System Analysis", educational and professional program "System Analysis". This subject is a compulsory subject in the System Analysis program. It is taught in 3rd and 4th semesters in the amount of 360 (150 in the third and 210 in the fourth) hours. (12 ECTS credits) in particular: lectures - 82 (42 in the third and 40 in the fourth) hours, practical - 88 (28 in the third and 60 in the fourth) hours, consultations - 4 (4 in the third) hours, independent work - 186 (76 in the third and 110 in the fourth) hours. The course includes 4 tests (2 each semester). The discipline ends with an exam in the 3rd semester and an exam in the 4th semester.
Recommended or required reading and other learning resources/tools
1. Lyashko II, Emelyanov VF, Boyarchuk OK Mathematical analysis. 2 parts - Kyiv, Higher School, 1 part 1992 - 495 p., 2 part 1993 - 375 p.
2. Lyashko II, Boyarchuk AK etc. Mathematical analysis. 3 parts - Kyiv, Higher School, 1 part 1983 - 495 p, 2 part 1985 - 551 p.
3. Lyashko SI, Boyarchuk AK etc. Collection of problems and exercises in mathematical analysis - Moscow-St. Petersburg-Kiev, Dialectics, 2001 - 432 p.
4. Demidovich BP Collection of problems and exercises in mathematical analysis - Astrel - 2006.
5. Zorich VA Mathematical analysis. 2 parts - Moscow, ICNMO, 1 part 2001 - 664 p, 2 part 2002 - 794 p.
6. Arkhipov GI, Sadovnichy VA, Chubarikov VN Lectures on Mathematical Analysis - Moscow, Higher School, 1999 - 695 p.
7. Lyashko II, Boyarchuk AK, Guy YG etc. Reference manual for mathematical analysis. Part 1. Introduction to analysis, derivative, integral. - Kiev, Higher School, 1978 - 696 p.
Planned learning activities and teaching methods
lectures, consultations, practical classes, independent work
Assessment methods and criteria
control works, polls, exams
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline