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Course, academic year 2019/2020
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Statistics and insurance mathematics for secondary school - NUMV048
Title in English: Statistika a pojistná matematika pro střední školu
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:0/2 C [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: 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
Annotation -
Last update: T_KPMS (12.05.2015)
Seminar for future teachers of mathematics complementary to the lecture NMUM404. Statistical modeling comprehensible to students of secondary schools. Basics of insurance mathematics.
Aim of the course -
Last update: T_KPMS (12.05.2015)

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.

Course completion requirements - Czech
Last update: RNDr. Jitka Zichová, Dr. (30.01.2018)

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.

Literature - Czech
Last update: T_KPMS (12.05.2015)

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.

Teaching methods -
Last update: G_M (27.05.2008)

Seminar.

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

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.

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

Secondary school mathematics.

 
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