Course detail

Mathematics II

FCH-BC_MAT2Acad. year: 2018/2019

Differential calculus of functions of two variables.
Integral calculus of functions of two variables.
Ordinary differential equations.

Language of instruction

Czech

Number of ECTS credits

7

Mode of study

Not applicable.

Guarantor

doc. RNDr. Miroslav Kureš, Ph.D.

Department

Institute of Physical and Applied Chemistry (ÚFSCH)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Differential and integral calculus of functions of one variable, elements of the linear algebra and analytical geometry.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course uses teaching methods in form of Lecture - 2 teaching hours per week, seminars - 2 teaching hours per week. The e-learning system (LMS Moodle) is available to teachers and students.

Assesment methods and criteria linked to learning outcomes

Students must first obtain the credit from seminars. Compulsory attendance at seminars. In the exercises are included 2 tests (each at most 12 points).. In total the exercises can receive a maximum of 24 points. A student has to obtain at least 6 points from each test. (Students are allowed to undergo corrective control work. Evaluation of corrective labor inspection is final.)

The exam is written. Students do not use any electronic devies during the exam, however they can use written preparation in the range of two A4 sheets.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is obtaining the theoretical background necessary for studies of physics, particularly the calculus of two variables and elementary kinds of differential equations.

Specification of controlled education, way of implementation and compensation for absences

The compulsory attendance at seminars. In the exercises are included 2 tests (each at most 12 points). In total the exercises can receive a maximum of 24 points. A student has to obtain at least 6 points from each test.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

, http://mathonline.fme.vutbr.cz/ (CS)
Small D.B. - Hosack J.M.: Calculus, An Integrated Approach, McGraw-Hill Companies (CS)

Recommended reading

Čermák, J., Ženíšek, A.: Matematika III, VUT Brno (CS)
Děmidovič B. P.: Sbírka úloh a cvičení z matematické analýzy, Fragment (CS)
Rektorys K. a spol.: Přehled užité matematiky I,II ,SNTL (CS)

Classification of course in study plans

  • Programme BPCP_CHCHT Bachelor's

    branch BPCO_CHM , 1 year of study, summer semester, compulsory

  • Programme BKCP_CHCHT Bachelor's

    branch BKCO_CHM , 1 year of study, summer semester, compulsory
    branch BKCO_SCH , 1 year of study, summer semester, compulsory

  • Programme BPCP_CHCHT Bachelor's

    branch BPCO_SCH , 1 year of study, summer semester, compulsory
    branch BPCO_CHTOZP , 1 year of study, summer semester, compulsory

  • Programme BKCP_CHCHT Bachelor's

    branch BKCO_CHTOZP , 1 year of study, summer semester, compulsory

  • Programme BPCP_CHCHT Bachelor's

    branch BPCO_CHMN , 1 year of study, summer semester, compulsory

  • Programme BKCP_CHTP Bachelor's

    branch BKCO_PCH , 1 year of study, summer semester, compulsory

  • Programme BPCP_CHTP Bachelor's

    branch BPCO_CHP , 1 year of study, summer semester, compulsory
    branch BPCO_BT , 1 year of study, summer semester, compulsory

  • Programme BKCP_CHTP Bachelor's

    branch BKCO_BT , 1 year of study, summer semester, compulsory

  • Programme AKRED_neaktuální Bachelor's

    specialization --- , 1 year of study, summer semester, compulsory
    specialization , 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. RNDr. Miroslav Kureš, Ph.D.

Exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Jiří Šremr, Ph.D.
Ing. Radek Tichý
RNDr. Marie Polcerová, Ph.D.
Mgr. Viera Štoudková Růžičková, Ph.D.
doc. RNDr. Miroslav Kureš, Ph.D.
Ing. Matej Dolník