Course syllabus E15-0105-B - Mathematics I A (FEM - WS 2019/2020)

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University: Slovak University of Agriculture in Nitra
Faculty: Faculty of Economics and Management
Course unit code: E15-0105-B
Course unit title: Mathematics I A
Planned types, learning activities and teaching methods:
lecture3 hours weekly / 39 hours per semester of study (on-site method)
seminar1 hour weekly / 13 hours per semester of study (on-site method)

Credits: 4
Semester: Accounting - bachelor (required), 1. semester
Accounting - bachelor (required), 1. semester
Business Economics - bachelor (required), 1. semester
Business Economics - bachelor (required), 1. semester
Business Management - bachelor (required), 1. semester
Business Management - bachelor (required), 1. semester
Environmental Economics and Management - bachelor (required), 1. semester
Informatics Applications in the Business Economics and Management - bachelor (required), 1. semester
Informatics Applications in the Business Economics and Management - bachelor (required), 1. semester
International Business with Agrarian Commodities - bachelor (required), 1. semester
International Business with Agrarian Commodities - bachelor (required), 1. semester
International Business with Agrarian Commodities - bachelor (required), 1. semester
Quantitative Methods in Economics - bachelor (required), 1. semester
Trade Entrepreneurship - bachelor (required), 1. semester
Trade Entrepreneurship - bachelor (required), 1. semester
Level of study: 1.
Prerequisites for registration: none
Assesment methods :
- Partial written tests during the semester for 30 points,
- Seminary project and individual project tasks via LMS Moodle (bonus) for 10 points,
- The final exam test for 60 points.
For the final evaluation it is necessary to obtain from a total number of 100 points:
- at least 93 points for the evaluation A, at least 86 points for the evaluation of B, at least 79 points for the evaluation of C, at least 72 points for the evaluation of D and at least 64 points for the evaluation E.
Learning outcomes of the course unit:
The aim of the course is to provide students with basic theoretical knowledge from the theory of functions of one and more real variables and to develop computational skills in order to solve various types of mathematical and applied problems.
Upon completion of the course, students should be able to:
• handle, manipulate and simplify general mathematical expressions
• master differentiation techniques of various types of functions
• apply these techniques to solve mathematical and applied problems
• give logical reasoning and interpretation of the obtained results
Course contents:
Elementary functions – basic properties, domains, graphs, inverse functions.
Differential calculus of the function with one real variable – limits, asymptotes and derivatives of functions, use of derivatives for investigation of the behavior of functions.
Differential calculus of functions of two real variables, local and constrained extremes of functions of two variables, economic applications.
Recommended or required reading:
Basic:
ORSZÁGHOVÁ, D. -- MATUŠEK, V. -- PECHOČIAK, T. -- HORNYÁK GREGÁŇOVÁ, R. -- FARKAŠOVÁ, M. -- DRÁBEKOVÁ, J. -- KECSKÉS, N. -- BARANÍKOVÁ, H. Návody na cvičenia z matematiky. 1st ed. Nitra : Slovenská poľnohospodárska univerzita, 2016. 172 p. ISBN 978-80-552-1530-3.
ORSZÁGHOVÁ, D. -- MATUŠEK, V. -- PECHOČIAK, T. -- BARANÍKOVÁ, H. -- DRÁBEKOVÁ, J. Matematika s aplikáciami. 1. časť. 1st ed. Nitra : Slovenská poľnohospodárska univerzita, 2013. 312 p. ISBN 978-80-552-1093-3.

Recommended:
ORSZÁGHOVÁ, D. -- PECHOČIAK, T. -- MATUŠEK, V. -- DRÁBEKOVÁ, J. -- BARANÍKOVÁ, H. -- GREGÁŇOVÁ, R. -- FARKAŠOVÁ, M. Matematika a jej aplikácie. 1st ed. Nitra : Slovenská poľnohospodárska univerzita, 2010. 375 p. ISBN 978-80-552-0479-6.
MOODLE kurzy „Cvičenia z matematiky ZS“, „Seminárne práce z matematiky“ dostupné na adrese: http://moodle.uniag.sk/fem/course/category.php?id=37
ORSZÁGHOVÁ, D. -- GREGÁŇOVÁ, R. -- PECHOČIAK, T. -- FARKAŠOVÁ, M. -- DRÁBEKOVÁ, J. -- KECSKÉS, N. Matematika s aplikáciami. 2. časť. 1. vyd. Nitra : Slovenská poľnohospodárska univerzita, 2014. 196 s. ISBN 978-80-552-1138-1 (brož.).
1E: Study resource in English: Ayres, F. – Mendelson, E. Calculus. Schaum’s Outlines, McGraw Hill, 2002, ISBN 978-0-07-150861-2

Language of instruction: Slovak, English
Notes:
Evaluation of course unit:
Assessed students in total: 1982

ABCDEFX
9,8 %10,4 %17,4 %20,8 %38,0 %3,6 %
Name of lecturer(s): RNDr. Janka Drábeková, PhD. (examiner, instructor)
RNDr. Mária Farkašová, PhD. (examiner, instructor, lecturer)
Mgr. Radomíra Hornyák Gregáňová, PhD. (examiner, instructor, lecturer)
Mgr. Norbert Kecskés, PhD. (examiner, instructor, lecturer)
Mgr. Vladimír Matušek, PhD. (examiner, instructor)
doc. RNDr. Dana Országhová, CSc. (examiner, instructor, lecturer, person responsible for course)
PaedDr. Tomáš Pechočiak, PhD. (examiner, instructor)
Last modification: 22. 10. 2018
Supervisor: doc. RNDr. Dana Országhová, CSc. and programme supervisor


Last modification made by Iveta Kunová on 10/22/2018.

Type of output: