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.
Supervisor
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.
Recommended optional programme components
Not applicable.
Recommended or required reading
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)
http://www.vutbr.cz/elearning (CS)
http://www.vutbr.cz/elearning, J. Tomáš, Integrální počet funkcí více proměnných (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)
Klíč A., Kubíček M.: Matematika III - Diferenciální rovnice. VŠCHT Praha. (CS)
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)
Feymann R. P., Leighton R. B., Sands M.: Feynamnnove prednášky z fyziky, 3. díl. Alfa Bratislava (Addison-Wesley Publ. Comp.). (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)
Jordan, D. W., Smith, P., Mathematical Techniques. Oxford. (CS)
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.
Language of instruction
Czech
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.
Classification of course in study plans
- Programme BPCP_CHCHT Bachelor's
branch BPCO_SCH , 1. year of study, summer semester, 6 credits, compulsory
- Programme BKCP_CHCHT Bachelor's
branch BKCO_SCH , 1. year of study, summer semester, 6 credits, compulsory
- Programme BPCP_CHCHT Bachelor's
branch BPCO_CHTOZP , 1. year of study, summer semester, 6 credits, compulsory
- Programme BKCP_CHCHT Bachelor's
branch BKCO_CHTOZP , 1. year of study, summer semester, 6 credits, compulsory
- Programme BPCP_CHCHT Bachelor's
branch BPCO_CHMN , 1. year of study, summer semester, 6 credits, compulsory
branch BPCO_CHM , 1. year of study, summer semester, 6 credits, compulsory - Programme BKCP_CHCHT Bachelor's
branch BKCO_CHM , 1. year of study, summer semester, 6 credits, compulsory
- Programme BPCP_CHTP Bachelor's
branch BPCO_BT , 1. year of study, summer semester, 6 credits, compulsory
- Programme BKCP_CHTP Bachelor's
branch BKCO_BT , 1. year of study, summer semester, 6 credits, compulsory
branch BKCO_PCH , 1. year of study, summer semester, 6 credits, compulsory - Programme BPCP_CHTP Bachelor's
branch BPCO_CHP , 1. year of study, summer semester, 6 credits, compulsory
- Programme CKCP_CZV lifelong learning
branch CKCO_CZV , 1. year of study, summer semester, 6 credits, compulsory
Type of course unit
Exercise
26 hours, compulsory
Teacher / Lecturer
Computer-assisted exercise
13 hours, compulsory
Teacher / Lecturer