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FEKT-BPC-MA3AAcad. 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, numerical solving of differential equations.
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Syllabus
1. Introduction to numerical mathematics. Linear systems.2. Numerical solution of nonlinear equations.3. Nonlinear systems.4. Interpolation polynomial. Spline.5. Least squares method. Numerical differentiation and integration.6. Numerical solutions of initial value problems.7. Introduction to probability theorz.8. Random variable and its numerical characteristics.9. Significant discrete distributions.10. Significant continuous distributions.11. Normal distribution. Central limit theorem.12. Introduction of statistical testing.13. Revision, consultations.
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