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Mathematical methods with the basics of calculus and statistics

ДВС.01.05

Вибіркова дисципліна для ОП

First

2023/2024

4 Semester

4

Analyze recreational tourist potential of the territory (PLO5). Establish a connection between various information to obtain new knowledge (PLO23). Use existing knowledge in new uncertain ones situations (PLO24).

Full-time form

Knowledge of school mathematics at the level of secondary education IEE

1.Basics of linear algebra. Various transformations with matrices. Classify properties of actions and transformations over matrices. 2 Effective methods of solving systems of linear equations: matrix method, Kramer's method, Gauss method of solving systems of linear equations. 3 Мain linear operations with vectors and their application in geometry and other sections of mathematics. The concept of an n-dimensional vector, linear dependence and independence of a system of vectors. Define the concepts of vector space, linear space, dimension and basis of vector space, expansion of the vector by the basis. 4. The subject and tasks of mathematical statistics. The general and selective sample. Statistical distribution, empirical function, polygon. Histogram. 5. Numerical characteristics of the statistical distribution of the sample. 6 Point estimates of the parameters of the general sample. 7 Accuracy and reliability of the estimate. Interval evaluations. 8. Testing of statistical hypotheses. 9. Elements of correlation and regression analysis

1.Morrison K. and Hamshaw N. Mathematics. Core and Extended. Coursebook, Second edition. Cambridge IGCSE, 2014. 2. David Clarke, Douglas Goodall, John Dalton, Carole Ford, Jim Pennel, Tom Sanaghan. Heinemann Higher Mathematics Student Book, 2008.

Lectures, practical classes using mathematical packages

The level of achievement of all planned learning outcomes is determined by the results of written test papers and the results of work in practical classes. Discipline control is carried out according to the modular rating system. The results of students' educational activities for the semester are evaluated on a 100-point scale. The results of students' educational activities for all types of academic works of the semester are evaluated on a 60-point scale. Each of the content modules of the semester is evaluated on a 30-point scale. Modular control works in the classroom. The credit is evaluated on a 40-point scale. Theoretical questions according to the course program, typical and complex problems are submitted for assessment. For credit - from 0 to 40 points. The final grade is calculated as the sum of points for each module of the semester and points for credit. A condition for achieving a positive grade for a discipline is obtaining at least 60 points.

Ukrainian