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FI:MB203 Cont. models, statistics B - Course Information

## MB203 Continuous Models and Statistics B

**Faculty of Informatics**

Autumn 2019

**Extent and Intensity**- 4/2/0. 6 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
**Teacher(s)**- doc. RNDr. Martin Čadek, CSc. (lecturer)

Mgr. Mária Šimková (seminar tutor)

doc. Mgr. Josef Šilhan, Ph.D. (alternate examiner) **Guaranteed by**- prof. RNDr. Jan Slovák, DrSc.

Faculty of Informatics

Supplier department: Faculty of Science **Timetable**- Mon 14:00–15:50 A217, Wed 14:00–15:50 A217
- Timetable of Seminar Groups:

*M. Šimková*

MB203/02: Tue 16:00–17:50 B204,*M. Šimková* **Prerequisites**- !
**MB103**Cont. models and statistics && ! NOW (**MB103**Cont. models and statistics )

Recommended: knowledge of elementary functions, polynomials, rational functions. Further the elements of matrix calculus, as well knowledge of vector spaces and linear mappings and basic tools of Calculus in one real variable. **Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- there are 54 fields of study the course is directly associated with, display
**Course objectives**- At the end of this course, students should be able to:

use methods of calculus in the case of functions in more variables, inlcuding integration over curves and surfaces; solve basic optimization problems; exploit differential equations in continuous modeling;

understand theoretical concepts of the probability theory; apply methods of descriptive and mathematical statistics to basic problems. **Syllabus**- The course is the third part of the four semester block of Mathematics. In the entire course, the fundamentals of algebra and number theory, linear algebra and analysis, numerical methods, combinatorics as well as probability and statistics are presented.
- Calculus: differential and integral calculus in more variables, selected applications of Calculus, systems of differential equations, numerical solutions.
- Elements of Probability, random variables and their characteristics, descriptive statistics, gentle introduction to methods of Mathematical Statistics.

**Literature**- SLOVÁK, Jan, Martin PANÁK and Michal BULANT.
*Matematika drsně a svižně (Brisk Guide to Mathematics)*. 1. vyd. Brno: Masarykova univerzita, 2013. 773 pp. ISBN 978-80-210-6307-5. doi:10.5817/CZ.MUNI.O210-6308-2013.*Základní učebnice matematiky pro vysokoškolské studium*info - RILEY, K. F., M. P. HOBSON and S. J. BENCE.
*Mathematical methods for physics and engineering : a comprehensive guide*. 2nd ed. Cambridge: Cambridge University Press, 2002. xxiii, 123. ISBN 0-521-81372-7. info - ZVÁRA, Karel and Josef ŠTĚPÁN.
*Pravděpodobnost a matematická statistika*. 2. vyd. Praha: Matfyzpress, 2001. 230 s. ISBN 8085863243. info - DOŠLÁ, Zuzana and Ondřej DOŠLÝ.
*Diferenciální počet funkcí více proměnných*. Vydání první. Brno: Vydavatelství Masarykovy univerzity, 1994. 130 stran. ISBN 8021009926. info

*recommended literature*- PLCH, Roman, Zuzana DOŠLÁ and Petr SOJKA.
*Matematická analýza s programem Maple. Díl 1, Diferenciální počet funkcí více proměnných. (The Multivariable Calculus with program Maple. Part 1, Differencial calculus)*. prvni. Brno: Masarykova Universita, 1999. 80 pp. ISBN 80-210-2203-5. URL info

*not specified*- SLOVÁK, Jan, Martin PANÁK and Michal BULANT.
**Teaching methods**- There are theoretical lectures and standard tutorial accompanied by homework assessment.
**Assessment methods**- During the semester, two obligatory mid-term exams are evaluated (each for max 10 points). 5 minitests written during seminars are evaluated in total by max 5 points, 4 homeworks are evalueted by 4 points. The practical final exam is two hours long and written for max 20 points, followed by an oral exam checking theoretical understanding (10 points0. For successful examination (the grade at least E) the student needs in total 25 points or more and at least 5 points from the last written exam. More can be found in the IS for this course.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials

The course is taught annually. **Listed among pre-requisites of other courses**

- Enrolment Statistics (recent)

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