Course detail

Mathematics II

FCH-BCT_MAT2Acad. year: 2017/2018

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

6

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. Compute support - 1 hour 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 10 points) and a test from the computer support (5 points). In total the exercises can receive a maximum of 25 points. A student has to obtain at least 5 points from each test and at least 2 points from the computer support. (Students are allowed to undergo corrective control work. Evaluation of corrective labor inspection is final.)

The exam is written.

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 10 points) and a test from the computer support (5 points). In total the exercises can receive a maximum of 25 points. A student has to obtain at least 5 points from each test and 2 points from the thest from the computer support.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Škrášek J., Tichý Z: Základy aplikované matematiky III. SNTL Praha. (CS)
Škrášek J., Tichý Z.: Matematika 1,2. SNTL Praha. (CS)
Polcerová, M.: Matematika II v chemii a v praxi, skripta. FCH VUT v Brně, Brno. (CS)
Veselý P.: Matematika pro bakaláře. VŠCHT Praha. (CS)
Rektorys K.: Přehled užité matematiky I, II. Prometheus Praha. (CS)
Polcerová M., Polcer J.: Sbírka příkladů z matematiky II. FCH VUT v Brně, Brno. (CS)

Recommended reading

Eliáš J., Horváth J., Kajan J., Šulka R.: Zbierka úloh z vyššej matematiky. ALFA Bratislava. (CS)
Ivan, J.: Matematika 2. Alfa Bratislava. (CS)
Kosmák, L., Potůček, R., Metrické prostory, Academia 2004, ISBN 80-200-1202-8 (CS)
Bubeník F.: Mathematics for Engineers. ČVUT Praha. (CS)
Smith, R., Minton, R.B.: Calculus - Early Trancscendental Functions. MacGraw Hill, New York. (CS)
Mortimer, R.: Mathematics for Physical Chemistry. Academic Press, Memphis. (CS)

Classification of course in study plans

  • Programme BPCP_CHCHT Bachelor's

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

  • Programme BKCP_CHCHT Bachelor's

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

  • Programme BPCP_CHCHT Bachelor's

    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
    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

  • Programme BPCP_CHTP Bachelor's

    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
    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

  • Programme CKCP_CZV lifelong learning

    branch CKCO_CZV , 1. year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. RNDr. Miroslav Kureš, Ph.D.

Exercise

26 hours, compulsory

Teacher / Lecturer

Ing. Matej Dolník
doc. Mgr. Jaroslav Hrdina, Ph.D.
doc. RNDr. Miroslav Kureš, Ph.D.
doc. Mgr. et Mgr. Aleš Návrat, Ph.D.
Ing. Jiří Novák
doc. Ing. Jiří Šremr, Ph.D.
doc. RNDr. Miroslav Kureš, Ph.D.

Computer-assisted exercise

13 hours, compulsory

Teacher / Lecturer

RNDr. Marie Polcerová, Ph.D.
doc. RNDr. Miroslav Kureš, Ph.D.