Course detail
Mathematics 1
FP-MA1_MAcad. year: 2018/2019
The subject is a part of theoretical fundamentals. The aim is to manage calculations with numeric variables (including the use of IT) and the analysis of functions of one real variable, including their applications in economic disciplines.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
- active participation in the seminars where the attendance is compulsory,
- fulfilment of individual tasks and successful completion of written assignments,
- completion of partial written test´s (more than 50% points)
Awarding of course-unit is a necessary condition to be admitted to the exam.
The exam has a written and an oral part with the written part being more important. The written part takes two hours.
The written exam is followed by an oral exam which does not take more than 10 minutes. Its main objective is to make the classification more accurate. In the oral exam, the student informed about the results achieved in the individual tasks of the written exam. Possible discrepancies in the written part can be solved in the oral exam. If appropriate, additional questions can be placed, and the student is given time to prepare.
Course curriculum
2.Numbers
3.Functions and operations with functions
4.Elementary functions
5.Limit and continuity
6.Derivative and diferential
7.Course of function
8. L'Hospital rule and Taylor formula
9. Indefinite integral
10. Methods of integration
11. Definite integral
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Mezník, I: Diskrétní matematika. FP VUT v Brně v Akademickém nakladatelství CERM, s.r.o. Brno, Brno 2004. ISBN 80-214-2754-X. (CS)
Mezník,I.: Matematika II.FP VUT v Brně, Brno 2009 (CS)
Mezník,I.:Matematika I. FP VUT v Brně, Brno 2008 (CS)
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
-numbers,
-analysis of a function of one real variable.
Exercise
Teacher / Lecturer
Syllabus
-writing up individual tasks.