C1460 Introduction to Mathematics

Faculty of Science
Autumn 2010 - only for the accreditation
Extent and Intensity
1/0/0. 1 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jaroslav Koča, DrSc. (lecturer)
Mgr. Zdeněk Kříž, Ph.D. (lecturer)
doc. RNDr. Radka Svobodová, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jaroslav Koča, DrSc.
National Centre for Biomolecular Research – Faculty of Science
Contact Person: prof. RNDr. Jaroslav Koča, DrSc.
Prerequisites
NOW( C1480 Intro to Math - seminar )
It expected that the student will enter the course with the basic knowledge of mathematics at grammar school level.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of the course students should have notions in linear algebra, differential a integral calculus of functions of one and two variables and differential equations at the lowest possible level. The course is focused on obtaining basic orientation in the field. It is accompanied by practically oriented excersisses, so the student will be able to solve basic tasks in the field.
Syllabus
  • 1) Algebra of matrices. 2) Systems of linear equations and their solution. 3) Elementary functions and their basic properties. 4) Limits, derivatives 5) Inverse functions. Exponential and logarithmic functions. 6) Higher order derivatives. 7) Integral calculus. Basic techniques of integration. 8) Functions of several variables. 9) Partial derivatives. 10) Maxima and minima of functions of several variables. 11) Integration of functions of several variables. 12) Differential equations. 13) Simple examples on first-order equations. Boundary condition.
Literature
  • OSIČKA, Jan. Matematika pro chemiky. Brno: Masarykova univerzita, 1999, 213 pp. ISBN 80-210-2083-0. info
  • REKTORYS, Karel. Co je a k čemu je vyšší matematika. Vyd. 1. Praha: Academia, 2001, 156 s. ISBN 8020008837. info
Teaching methods
Lectures.
Assessment methods
There is a written exam to complete the course. In some cases, where the results of the written exam are not clear enough, also oral examination may follow.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
General note: Kurz je povinný pro studijní obor Učitelství chemie pro střední školy pokud není druhým studovaným (aprobačním) oborem učitelství matematiky nebo fyziky. Je tedy např. povinný pro kombinaci Bi-Ch.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.