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FEKT-BPA-MA3Acad. year: 2023/2024
The aim of this course is to introduce the basics of two mathematical disciplines: numerical methods, and probability and statistics.In the field of probability, main attention is paid to random variables, both discrete and continuous. The end of the course of probability is devoted to hypothesis testing.In the field of numerical mathematics, the following topics are covered: root finding, systems of linear equations, curve fitting (interpolation and splines, least squares method), numerical differentiation and integration.
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Offered to foreign students
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Elearning
Classification of course in study plans
specialization BPA-ECT , 2 year of study, winter semester, compulsoryspecialization BPA-PSA , 2 year of study, winter semester, compulsory
Lecture
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Syllabus
1. Introduction to numerical methods. Numerical methods of solution of linear systems.2. Numerical methods of solution of one non-linear equation and of non-linear systems.3. Interpolation polynomials and splines.4. Least squares method. Numerical differentiation and integration.5. Introduction to probability theory.6. Random variables and their numerical characteristics.7. Random vectors and their numerical characteristics.8. Selected probability distributions.9. Law of large numbers, central limit theorem.10. Introduction to statistics. Statistical processing of data.11. Point and interval estimates. Method of moments and maximum likehood estimation.12. Statistical tests with normal distribution, Pearson's chi-squared test.13. Non-parametric tests.
Fundamentals seminar
Exercise in computer lab
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E-learning texts