Course syllabus MT1 - Mathematics I (FBE - SS 2019/2020)

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Course code: MT1
Course title in language of instruction: Matematika I
Course title in Czech: Mathematics I
Course title in English: Mathematics I
Mode of completion and number of credits: Exam (5 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes: full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Language of instruction: Czech
Level of course: bachelor
Semester: SS 2019/2020
Name of lecturer: RNDr. Jaromír Běláček, CSc. (instructor)
RNDr. Marie Forbelská, Ph.D. (instructor)
doc. Mgr. David Hampel, Ph.D. (supervisor)
RNDr. Lenka Viskotová, Ph.D. (examiner, instructor, lecturer)
Prerequisites: not Aplied Mathematics I
Aims of the course:
Attainment of a desired level of logical thinking abilities and mathematical knowledge and skills needed for solving everyday economic problems and business situations.
Course contents:
1.Linear Algebra (allowance 12/12)
a.Vector spaces
d.Systems of the linear equations
e.Matrix algebra

2.Differential Calculus of One Variable (allowance 16/16)
a.Functions and their properties.
d.The derivative
e.Applications of derivatives: L'Hospital's rule
f.Applications of derivatives: Graphical behavior of functions from derivatives

Learning outcomes and competences:
Generic competences:
-Ability to apply knowledge
-Ability to solve problems
-Ability to work independently
-Basic computing skills
-General knowledge

Specific competences:
-Student is able to describe properties of function and analyze it. Furthermore, from graph derivate their properties.
-Student knows how to use operations with matrices and determinants for solving of systems of linear and matrix equations.
-Student knows to calculate limits and derivatives of one variable functions and interpret it on function graphs.
-Student knows to use derivatives for finding of extreme function values, i.e. its minimums and maximums.
-Student will acquire properties and operations with matrices and determinants. This knowledge is necessary for solving of linear programming problems.

Type of course unit: required
Year of study: Not applicable - the subject could be chosen at anytime during the course of the programme.
Work placement: There is no compulsory work placement in the course unit.
Recommended study modules: -
Learning activities and study load (hours of study load):
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
     preparation for exam56 h
     preparation for regular testing28 h
Total140 h
Assessment methods:
Participation in the seminar is compulsory, attendance is considered to be fulfilled if the student visits at least 9 seminars (absence cannot be excused nor replaced). Active participation is required in the seminary (the student has an overview of the lectured topics and can calculate the basic exercises demonstrated at the lectures).

During the semester, it is necessary to pass a continuous test, i.e. to get at least 4 points out of the total possible 8 points. The student card, writing aids, and A4 blank papers must be provided for the test. All nonempty papers are handed in, otherwise the student will be assessed by a grade F.

If students complete attendance (only in the case of a full-time form) and pass the test, they are eligible to apply for the exam. Otherwise, the final score will be "not present".

The exam is in the form of a written work and is considered successful if the gain is at least 25 points out of a total of 50 points. If students are not successful in writing, they are rated F. If students successfully pass a written work, the subject assessment is given by the sum of the points obtained from the test and the written exam:
[49; 58] points - A
[44; 49) points - B
[39; 44) points - C
[34; 39) points - D
[29; 34) points - E

Students will bring writing accessories and the student card for written work. Students can not use their own papers or a calculator.

Any copying, recording or excerpt of tests and written works, the use of illicit devices as well as means of communication or other impairment of objectivity in the verification of knowledge will be considered gross violation of the study regulations. As a result, the course is closed in the UIS by F; F; F. Further, teacher can initiate disciplinary proceedings, which may result in termination of studies.

The course is not possible to enroll in a foreign trip.
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
RQRÁDL, P. -- MOUČKA, J.Matematika pro studenty ekonomie, 2., upravené a doplněné vydáníPrahaGrada2015978-80-247-5406-2
REČERNÁ, B.Matematika - lineární algebraBrnoMendelova zemědělská a lesnická univerzita v Brně2007978-80-7375-080-0
REBAUER, L. -- LIPOVSKÁ, H. -- MIKULÍK, M.Matematika v ekonomii a ekonomicePrahaGrada2015978-80-247-4419-3
RESYDSÆTER, K. -- HAMMOND, P J. -- STRØM, A.Essential mathematics for economic analysisHarlowPearson Education2012978-0-273-76068-9
REMUSILOVÁ, J. -- MUSILOVÁ, P.Matematika I: pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematikyBrnoVUTIUM2009978-80-214-3631-2
RETHOMAS, G.Thomas' calculus. Thirteenth edition in SI units.BostonPearson2016978-1-292-08979-9


Last modification made by Ing. Jiří Gruber on 12/04/2019.

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