470-4124/02 – Elements of Higher Mathematics II (EVM II)
| Gurantor department | Department of Applied Mathematics | Credits | 6 |
| Subject guarantor | Ing. Jan Kracík, Ph.D. | Subject version guarantor | Ing. Jan Kracík, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 1 | Semester | summer |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Students will understand basic concepts of probability theory, mathematical statistics and numerical methods.
Teaching methods
Lectures
Tutorials
Project work
Summary
The subject is intended for students of master's program Computational and applied mathematics without background in mathematical statistics and numerical methods.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
semestral project, test
written and oral exam
E-learning
Other requirements
No additional requirements are imposed on the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Probability theory:
Probability space
Random variable, random vector
Selected probability distributions
Limit theorems
Mathematical statistics:
Independent random samples
Hypothesis tests
Statistical estimation
Analysis of variance
Linear regression
Numerical methods:
Data fitting
Numerical integration
Iterative methods for solution of nonlinear equations
Numerical solution to ordinary differential equations
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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