C1460 Introduction to Mathematics

Faculty of Science
Autumn 2019
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)
RNDr. Tomáš Raček, Ph.D. (lecturer)
doc. RNDr. Radka Svobodová, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jaroslav Koča, DrSc.
National Centre for Biomolecular Research – Faculty of Science
Contact Person: prof. RNDr. Jaroslav Koča, DrSc.
Supplier department: National Centre for Biomolecular Research – Faculty of Science
Timetable
Thu 12:00–13:50 B11/132
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 offered to students of any study field.
Course objectives
The course goal is to present an overview of linear algebra, differential and integral calculus 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 exercises, so the student will be able to solve basic tasks in the field.
Learning outcomes
At the end of the course a student should have notions in linear algebra, differential and integral calculus of functions of one and two variables and simple differential equations.
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)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
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 2010 - only for the accreditation, 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 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2019, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2019/C1460