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Statistics and insurance mathematics for secondary school - NUMV048

Title:	Statistika a pojistná matematika pro střední školu
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:0/2, C [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time

Guarantor:	RNDr. Jitka Zichová, Dr.
Class:	Učitelství matematiky
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Seminar for future teachers of mathematics complementary to the lecture NMTM404. Statistical modeling comprehensible to students of secondary schools. Basics of insurance mathematics.

Last update: Zichová Jitka, RNDr., Dr. (21.05.2021)

Aim of the course -

To present principles of statistical thinking, demonstrate applications of simple statistical methods by means of

real data analyses using computers. To show ideas of insurance mathematics and make them comprehensible at secondary schools.

Last update: T_KPMS (12.05.2015)

Course completion requirements - Czech

Aktivní účast, maximálně 3 neomluvené absence, samostatná krátká prezentace některého z probíraných témat. Způsob vedení a obsah semináře neumožňují stanovit náhradní podmínky při více neomluvených absencích.

Last update: Zichová Jitka, RNDr., Dr. (04.06.2022)

Literature - Czech

Statistika:

Anděl, J.: Statistické metody. Matfyzpress, Praha, 1993 a další vydání.

Zvára, K.: Biostatistika. Karolinum, Praha, 1998 a další vydání.

Zvára, K.: Základy statistiky v prostředí R. Karolinum, Praha, 2013.

Zvára, K., Štěpán, J.: Pravděpodobnost a matematická statistika. Matfyzpress, Praha, 2002.

Pojistná matematika:

Cipra, T.: Finanční matematika v praxi. HZ, Praha, 1993.

Cipra, T.: Pojistná matematika v praxi. HZ, Praha, 1994.

Cipra, T.: Finanční a pojistné vzorce. Grada, Praha, 2006.

Last update: T_KPMS (12.05.2015)

Teaching methods -

Seminar.

Last update: G_M (27.05.2008)

Syllabus -

Basic principles of mathematical statistics:

qualitative and quantitative variables, graphical representation,

characteristics of mean value and variability of data, quantiles,

correlation, regression line, time dependence, dependence of qualitative variables,

data anlysis using MS Excel.

Basics of insurance mathematics:

mortality tables,

basic of financial mathematics,

life insurance calculations.

Last update: Zichová Jitka, RNDr., Dr. (29.05.2019)

Entry requirements -

Secondary school mathematics.

Last update: Zichová Jitka, RNDr., Dr. (29.05.2019)