Mathematics for Computer Science
Course: Computer science
Structural unit: Faculty of information Technology
            Title
        
        
            Mathematics for Computer Science
        
    
            Code
        
        
            ОК 9
        
    
            Module type 
        
        
            Обов’язкова дисципліна для ОП
        
    
            Educational cycle
        
        
            First
        
    
            Year of study when the component is delivered
        
        
            2024/2025
        
    
            Semester/trimester when the component is delivered
        
        
            1 Semester
        
    
            Number of ECTS credits allocated
        
        
            11
        
    
            Learning outcomes
        
        
            Use modern mathematical tools of continuous and discrete analysis, linear algebra, and analytic geometry, in professional activities for solving theoretical and applied problems in the process of designing and implementing informatization objects. Use methods of numerical differentiation and integration of functions, solving ordinary differential and integral equations, features of numerical methods and their adaptation possibilities for engineering tasks have skills in the software implementation of numerical methods.
        
    
            Form of study
        
        
            Full-time form
        
    
            Prerequisites and co-requisites
        
        
            1 semester
No requirements.
2 semester
Elements of calculus / Introduction to calculus.
        
    
            Course content
        
        
            The discipline "Mathematics for Computer Science" covers a range of issues related to the study of the following sections: numbers as the basis of calculus, functions, differentiation of functions, indefinite integral, definite integral, differential equations, systems of differential equations, numerical series, functional and power series, matrices and determinants, systems of linear algebraic equations, vectors and operations on them, vector space, Euclidean vector space, analytical geometry in the plane, second-order curves, and polar coordinates in the plane.
        
    
            Recommended or required reading and other learning resources/tools
        
        
            1. I. Litvin, O. Kononchuk, G. Zhelezniak. Higher Mathematics. Educational manual. Publishing House "Educational Literature Center". 2019. 368 p.
2. V. Klepko, V. Golets. Higher Mathematics in Examples and Problems. Educational manual. Publishing House "Educational Literature Center". 2019. 594 p.
3. Ye. Zaytsev. Higher Mathematics. Educational manual. "Alerta". 2013. 574 p.
4. F. Liman, V. Vlasenko, S. Petrenko. Higher Mathematics. Educational manual in 2 parts. Publishing House "Ukrainian Book". 2018. 614 p.
        
    
            Planned learning activities and teaching methods
        
        
            Lectures, practical activities, individual work.
        
    
            Assessment methods and criteria
        
        
            The level of achievement of all planned learning outcomes is determined by the results of written tests and the completion of independent work. The maximum number of points a student can earn for work during the semester does not exceed 60 points on a 100-point scale. The final assessment is conducted in the form of an exam. The maximum number of points a student can obtain is 40 points on a 100-point scale. If a student receives less than 24 points during the exam, they are given an "unsatisfactory" grade, and the earned points are not counted. A student is not allowed to take the exam if they have scored less than 36 points during the semester (less than 60% of the maximum possible number of points a student can earn for their work during the semester).
        
    
            Language of instruction
        
        
            Ukrainian
        
    Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline