VSFS:B_MaB_2 Mathematics B 2 - Course Information
B_MaB_2 Mathematics B 2
University of Finance and AdministrationWinter 2012
- Extent and Intensity
- 2/1. 4 credit(s). Type of Completion: zk (examination).
- Guaranteed by
- RNDr. Eva Ulrychová, Ph.D.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Dagmar Medová, DiS. - Prerequisites
- The course builds on the subject of B_MaB_1 of winter semester 1st year. Knowledge at the level of this course curriculum is assumed.
- Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- Students will get familiar with the notions and procedures used in the investigation of the behaviour of functions, with the indefinite integral, definite integral and its application, and with infinite series.
At the end of the course students should be able to:
- calculate local extremes and monotonicity intervals of a function
- calculate inflection points and convexity and concavity intervals of a function
- calculate indefinite integral (method of integration by parts, method of integration by substitution, integration of rational functions), calculate definite integral and describe its application
- describe the basic properties of infinite number series and power series - Syllabus
- 1. Notions pertinent to functions – monotonicity intervals, local extremes of a function.
- 2. Notions pertinent to the behaviour of functions – convex and concave functions, inflection points.
- 3. Procedure of investigating the behaviour of a function.
- 4. Antiderivative and indefinite integral.
- 5. Integration of elementary functions.
- 6. Integration by parts.
- 7. Integration by the substitution method.
- 8. Integration of rational functions.
- 9. Riemann’s definite integral.
- 10. Infinite definite integral.
- 11. Number series, their convergence and divergence.
- 12. Power series, their convergence and divergence.
- Literature
- required literature
- BUDINSKÝ, Petr and Ivan HAVLÍČEK. Matematika pro vysoké školy ekonomického a technického zaměření. Praha: VŠFS, 2005, 131 pp. ISBN 80-86754-45-6. info
- BUDINSKÝ, Petr and Ivan HAVLÍČEK. Sbírka příkladů z matematiky pro vysoké školy ekonomického a technického zaměření. Praha: VŠFS, 2005, 121 pp. ISBN 80-86754-52-9. info
- Teaching methods
- The course is realised in the form of lecturers and seminars in full time
study and tutorials in part time study.
Compulsory seminar participation is 75% in full-time study, compulsory tutorial participation is 50% in part-time study. - Assessment methods
- The course is completed with a credit and an exam. Passing a written test (min. 60%) is required to award the credit. Prerequisite for taking the exam is the credit. The exam consists of a written part and a verbal part; prerequisite for taking the verbal part of the exam is to pass the written part (min. 50%).
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Information on completion of the course: ISP
The course can also be completed outside the examination period.
General note: 0.
Information on the extent and intensity of the course: 12 hodin KS/semestr.
- Enrolment Statistics (Winter 2012, recent)
- Permalink: https://is.vsfs.cz/course/vsfs/winter2012/B_MaB_2