M1101 Mathematical Analysis I

Faculty of Science
Autumn 2011 - acreditation

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity
4/2/0. 6 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ondřej Došlý, DrSc. (lecturer)
Mgr. Jan Orava (seminar tutor)
doc. Mgr. Peter Šepitka, Ph.D. (seminar tutor)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Ondřej Došlý, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites (in Czech)
! M1100 Mathematical Analysis I && !NOW( M1100 Mathematical Analysis I )
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
The first course of the mathematical analysis. The content is the differential and integral calculus of functions of one real variable. An attention is paid to the fact that students come from the middle schools with various level of mathematical knowledge.
Syllabus
  • Introduction: real numbers and their basic properties, general properties of real functions, elementary functions. axioms of real numbers and their properties) Differential calculus in one variable (functions and sequences, limits and continuity, derivative and its properties, applications, planar curves) Integral calculus in one variable (primitive function, integration of some elementary functions, Riemann integral and its properties, applications, Newton integral.)
Literature
  • DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). 2. dotisk 1. vyd. Brno: Masarykova univerzita, 2008, 215 pp. ISBN 978-80-210-3121-0. info
  • NOVÁK, Vítězslav. Integrální počet funkcí jedné proměnné. Vyd. 1. Brno: Rektorát UJEP, 1980, 89 s. info
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
  • Integrální počet. Edited by Vojtěch Jarník. Vyd. 5. nezměn. Praha: Academia, 1974, 243 s. URL info
Teaching methods
Standard theoretical lecture with excercise.
Assessment methods
Lectures: 4 hours/week. Tutorials: 2 hour/week with 2 written intrasemestral test (30% min. 10%). Final examen: written test (40% min. 10%) and oral examen (30% min. 10%). Results of the intrasemestral test is included in the overall evaluation.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2010 - only for the accreditation, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018.