Course syllabus PHD_E042_N - Mathematics for Economists (FEM - 2019/2020 - post-graduate studies)

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University: Slovak University of Agriculture in Nitra
Faculty: Faculty of Economics and Management
Course unit code: PHD_E042_N
Course unit title: Mathematics for Economists
Planned types, learning activities and teaching methods:
lecture3 hours weekly / 39 hours per semester of study (on-site method)

Credits: 10
Semester: Business Economics and Management - doctoral (elective), 1. year
Business Economics and Management - doctoral (elective), 1. year
Business Economics and Management - doctoral (elective), 1. year
Business Economics and Management - doctoral (elective), 1. year
Economics and Management of Agriculture and Food Processing - doctoral (elective), 1. year
Economics and Management of Agriculture and Food Processing - doctoral (elective), 1. year
Economics and Management of Agriculture and Food Processing - doctoral (elective), 1. year
Economics and Management of Agriculture and Food Processing - doctoral (elective), 1. year
Level of study: 3.
Prerequisites for registration: none
Assesment methods :
Written test (60 points), semestral project (40 points).
It is necessary to obtain (out of 100 points):
- at least 93 points for the grade A, at least 86 points for the grade B, at least 79 points for the grade C, at least 72 points for the grade D and at least 64 points for the grade E.
Learning outcomes of the course unit:
The main aim of the subject is the study of mathematical methods that allows students to obtain new knowledge and to deepen their acquired knowledge in the selected areas of mathematics. The emphasis is placed on those mathematical concepts and methods which have application in study programs focused on economics and economic research. By solving of applied tasks students will obtain useful skills how to use and work effectively with mathematics in the analysis of problems of economics research and practice.
Course contents:
- Differential calculus of functions of several variables and its applications in economics
- Explicit functions and their partial derivatives: total differential, the derivative of composite functions, higher order derivatives
- Implicit functions and their derivatives
- Linear algebra and its applications in economics
- Vectors, matrices, determinant of matrix
- Systems of linear and nonlinear equations, eigenvalues ​​and eigenvectors
- Quadratic forms and their definiteness (definite, indefinite, semidefinite)
- Optimization of several variables – local and global extrema of functions
- Optimization of several variables – function with constrained extrema
- Applied tasks and usage of exact methods for their solutions
Recommended or required reading:
Recommended:
[1] Carl P. Simon and Lawrence Blume (1994). Mathematics for Economists. W. W. Norton & Company, Inc. New York.
[2] Geoffrey A. Jehle and Philip J. Reny (2001). Advanced Microeconomic Theory. Second edition. Addison Wesley.

Language of instruction: Slovak, English
Notes:
Evaluation of course unit:
Assessed students in total: 1

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Name of lecturer(s): doc. RNDr. Dana Országhová, CSc. (examiner, lecturer, person responsible for course)
Last modification: 15. 2. 2019
Supervisor: doc. RNDr. Dana Országhová, CSc. and programme supervisor


Last modification made by Iveta Kunová on 02/15/2019.

Type of output: