Course Details

Mathematics 5 (E)

Academic Year 2024/25

CA005 course is not part of any programme in the faculty

Course Guarantor

Institute

Language of instruction

Czech

Credits

4 credits

Semester

winter

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus

1. Parametric problems with one random sample. 2. Parametric problems with two random samples. 3. Non-parametric tests. Goodness-of-fit tests. 4. Analysis of relationships. 5. Regression analysis. 6. Time series. Descriptive characteristics of a time series. 7. Estimating the trend and seasonal components of a time series. 8. Error in numeric calculation. Method of bisection. Contraction theorem. 9. Solving f(x)=0 by iteration methods. Norms of matrices and vectors. 10. Iteration methods used to solve systems of linear equations. 11. Interpolating functions by polynomials and cubic splines. 12. Numeric differentiating. 13. Numeric integration.

Exercise

13 weeks, 1 hours/week, compulsory

Syllabus

1. Graphical methods of data files representation I. 2. Graphical methods of data files representation II. 3. Computational methods of data processing I. 4. Computational methods of data processing II. 5. Summary of survey analysis of one-dimensional populations. 6. Two-dimensional data files. 7. Linear regression. 8. Nonlinear regression. 9. Linear forecasting. 10. Multiple correlation and regression. 11. Numerical solutions of nonlinear equations and systems of linear equations. 12. Interpolation. Numeric differentiating. 13. Numeric integration. Seminar evaluation.