Course syllabus MT2 - Mathematics II (FBE - SS 2019/2020)

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Course code: MT2
Course title in language of instruction: Matematika II
Course title in Czech: Mathematics II
Course title in English: Mathematics II
Mode of completion and number of credits: Exam (6 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)
part-time, 16/0 (lectures per period / seminars per period)
Language of instruction: Czech
Level of course: bachelor
Semester: SS 2019/2020
Name of lecturer: RNDr. Jaromír Běláček, CSc. (instructor)
doc. Mgr. David Hampel, Ph.D. (supervisor)
RNDr. Petr Rádl (examiner, instructor)
RNDr. Dana Říhová, Ph.D. (examiner, instructor, lecturer)
RNDr. Lenka Viskotová, Ph.D. (lecturer)
Mgr. Kateřina Žáková, Ph.D. (instructor)
Prerequisites: Mathematics I
Aims of the course:
Attainment to a desired level of logical thinking, mathematical knowledge and skills necessary for description and solution of mathematical models of typical problems.
Course contents:
1.Multivariable calculus (allowance 9/9)
a.Functions of two variables
b.Domain of functions of two variables
c.Partial derivatives
d.Local extreme, extreme bound, absolute extreme

2.Integral calculus (allowance 9/9)
a.Indefinite integral
b.Definite integral
c.Improper integral

3.Differential equations (allowance 6/6)
a.First order differencial equations
b.Second order differencial equations

4.Difference equations (allowance 4/4)
b.Difference equations

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 with use of basic integration methods calculate indefinite integral
-Student is able with using limits and integration methods solve improper integral.
-Student knows to solve basic types of difference equations of 1st and 2nd order.
-Student knows to solve basic types of ordinary differential equations of 1st and 2nd order.
-Student knows to use calculation derivative of two variables function for determination of its maximal and minimal value.
-Student knows with use of definite integral calculate surface area and volume of rotate solids.

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 attendanceCombined form
Direct teaching
     lecture28 h0 h
     practice28 h0 h
     consultation0 h16 h
     preparation for exam46 h118 h
     preparation for regular assessment56 h0 h
     preparation for regular testing10 h34 h
Total168 h168 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
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
REMAŘÍK, R.Diferenciální rovnice a autonomní systémyBrnoMZLU v Brně2009978-80-7375-334-4
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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