470-4124/01 – 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	Czech
Year of introduction	2019/2020	Year of cancellation
Intended for the faculties	FEI	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
KRA0220	Ing. Jan Kracík, Ph.D.
KRA04	Mgr. Bohumil Krajc, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit and Examination	2+2
Part-time	Credit and Examination	8+8

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:

RAO, C. RADHAKRISHNA. Linear statistical inference and its applications. 2. ed., paperback ed. New York: Wiley, 2002. ISBN 0471218758. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics. Springer, 2007.

Recommended literature:

TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157 W.H. Press, B.P. Flannery, S.A. Teukolski, W.T. Vetterling, Numerical Recipes in C. Cambridge University Press, 19

Additional study materials

Study supports in the EduDocs system

Way of continuous check of knowledge in the course of semester

semestral project, test written and oral exam

E-learning

Basic materials are available on the educator's website: https://lms.vsb.cz/course/view.php?id=126400 https://lms.vsb.cz/course/view.php?id=130998

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

Part-time form (validity from: 2019/2020 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Credit and Examination	Credit and Examination	100 (100)	51
Credit	Credit	30 (30)	10
Projekt	Project	10	5
Zápočtová písemka	Written test	20	5
Examination	Examination	70	35	3

Valid from	Valid until	Mandatory attendence participation
Mar 31, 2019 9:37:39 AM	Nov 30, 2022 9:50:11 AM	participation at all exercises is obligatory, 2 apologies are accepted
Mar 31, 2019 9:25:38 AM	Mar 31, 2019 9:37:39 AM	Obligatory participation at all excercises
Feb 28, 2019 6:05:51 PM	Mar 31, 2019 9:25:38 AM	Obligatory participation at all excercises

Mandatory attendence participation: Participation at all exercises is obligatory, 2 apologies are accepted.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2025/2026	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2025/2026	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2025/2026	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2025/2026	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	1	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	1	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	1	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	1	Optional	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

2019/2020 Summer