1. Course contents, the issue of errors, stability of calculations.
2. Solution of nonlinear equations, separation of roots, the simplest methods.
3. Iterative methods for solving systems of linear equations.
4. Numerical integration.
5. Interpolation by polynomials and splines.
6. Function approximation. Metod of lest square.
7. Solution of ODE.
8. Combinatorics. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes' theorem. Bernoulli independent repeated trials.
9. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function,
quantiles.
10. Discrete and continuous probability distribution.
11. Statistical processing data with one or more arguments.
12. Empirical characteristics of statistical data.
13. Parameter estimation and testing of hypotheses.
14. Regression analysis.
2. Solution of nonlinear equations, separation of roots, the simplest methods.
3. Iterative methods for solving systems of linear equations.
4. Numerical integration.
5. Interpolation by polynomials and splines.
6. Function approximation. Metod of lest square.
7. Solution of ODE.
8. Combinatorics. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes' theorem. Bernoulli independent repeated trials.
9. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function,
quantiles.
10. Discrete and continuous probability distribution.
11. Statistical processing data with one or more arguments.
12. Empirical characteristics of statistical data.
13. Parameter estimation and testing of hypotheses.
14. Regression analysis.