Economicmathematical Methods
Code  Completion  Credits  Range  Language 

F7KMSEMM  KZ  2  4P+4S  Czech 
 Garant předmětu:
 David Vrba
 Lecturer:
 Vladimír Rogalewicz, David Vrba
 Tutor:
 Matouš Brunát, Hana Děcká, David Vrba
 Supervisor:
 Department of Biomedical Technology
 Synopsis:

Selected topics in mathematics to support economic courses
 Requirements:

Requirements of the graded assessment:
There will be three partial writen tests during the semester.
It is required that the student gets at lest 50% of points in each test.
It is required that the student has at least 50% of points in the sum of all three partial tests.
The final grade is given according to the study regulation in force.
 Syllabus of lectures:

1. Interests and discounting
Simple interest, discounting, compound interest, mixed interest calculation, continuous interest calculation
2. Time value of money
Present value, IIR, present and final value of a rent, debt amortization, calculation of „RPSN“
3. Mathematical solution of the optimizing problem I
Local extremes of functions of one variable, solution using derivatives. Local extremes of functions of two variables.
4. Mathematical solution of the optimizing problem II
Functions of three and more variables. Finding the local extremes of a function subject to equality constraints. Lagrange multipliers.
5. Regression analysis – linear and nonlinear regression
Point and interval estimation of regression coefficients, confidence belt. General regression function. Linearization. Correlation coefficient, coefficient of determination. Interpretation. Predictive value of the regression function.
6. Introduction into differential equations
Differential equations as a dynamic model. Solving ordinary differential equations.
 Syllabus of tutorials:

1. Interests and discounting
Simple interest, discounting, compound interest, mixed interest calculation, continuous interest calculation
2. Time value of money
Present value, IIR, present and final value of a rent, debt amortization, calculation of „RPSN“
3. Mathematical solution of the optimizing problem I
Local extremes of functions of one variable, solution using derivatives. Local extremes of functions of two variables.
4. Mathematical solution of the optimizing problem II
Functions of three and more variables. Finding the local extremes of a function subject to equality constraints. Lagrange multipliers.
5. Regression analysis – linear and nonlinear regression
Point and interval estimation of regression coefficients, confidence belt. General regression function. Linearization. Correlation coefficient, coefficient of determination. Interpretation. Predictive value of the regression function.
6. Introduction into differential equations
Differential equations as a dynamic model. Solving ordinary differential equations.
 Study Objective:
 Study materials:

Required:
[1].CHIANG, Alpha C. Fundamental methods of mathematical economics. 3rd ed. New York: McGrawHill, 1984. ISBN 0070108137
[2].GILLMAN, Leonard. a Robert H. MCDOWELL. Calculus. [1st ed.]. New York: Norton, 1973. ISBN 9780393093506
[3].CHATFIELD, Christopher. Statistics for technology: a course in applied statistics. 3rd ed. New York: Chapman and Hall, 1983. ISBN 0412253402
Recommended:
Wikipedia
Wolfram MathWorld at http://mathworld.wolfram.com/?source=wordcloud
 Note:
 Timetable for winter semester 2023/2024:
 Timetable is not available yet
 Timetable for summer semester 2023/2024:
 Timetable is not available yet
 The course is a part of the following study plans:

 Systematic Integration ofPprocesses in Healthcare  combined study (compulsory course)