Mathematical analysis
Course: System Analysis
Structural unit: Faculty of Computer Science and Cybernetics
Title
Mathematical analysis
Code
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2022/2023
Semester/trimester when the component is delivered
1 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 content of the school course of mathematics
2. Be able to solve problems within the school course of mathematics, algebra and beginnings
analysis, geometry
Course content
The discipline "Mathematical Analysis"
" 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 1 and 2 semesters in the amount of 360 (180 in each semester) hours. (12 ECTS credits) in particular: lectures - 82 (42 in the first semester and 40 - in the second) hours, practical - 82 (42 in the first semester and 40 - in the second) hours, consultations - 4 (2 in each semester) ) hours, independent work - 192 (94 in the first semester and 98 - in the second) hours. The course includes 4 tests. The discipline ends with an exam in the 1st semester and an exam in the 2nd semester. The score for the discipline is calculated as the average score for the exams in the 1st and 2nd 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