B_MaB_1 Mathematics B 1

University of Finance and Administration
Winter 2014
Extent and Intensity
2/1. 6 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
Teacher(s)
doc. RNDr. Petr Budinský, CSc. (seminar tutor)
RNDr. Ivan Havlíček, CSc. (seminar tutor)
RNDr. Eva Ulrychová, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Eva Ulrychová, Ph.D.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Tamara Urbánková
Timetable of Seminar Groups
B_MaB_1/cBPH: each even Monday 15:45–16:29 E306, each even Monday 16:30–17:15 E306, E. Ulrychová
B_MaB_1/cRMO: Wed 8. 10. 16:30–17:15 M15, Wed 15. 10. 16:30–17:15 M15, Wed 22. 10. 16:30–17:15 M15, Wed 5. 11. 16:30–17:15 M15, Wed 12. 11. 16:30–17:15 M15, Wed 19. 11. 16:30–17:15 M15, Wed 3. 12. 15:45–17:15 M15, Wed 10. 12. 15:45–17:15 M15, Wed 17. 12. 15:45–17:15 M15, E. Ulrychová
B_MaB_1/cR1PH: each odd Monday 12:15–12:59 E306, each odd Monday 13:00–13:45 E306, E. Ulrychová
B_MaB_1/cR2PH: each even Thursday 10:30–11:14 E228, each even Thursday 11:15–12:00 E228, E. Ulrychová
B_MaB_1/cR3PH: each even Thursday 12:15–12:59 E228, each even Thursday 13:00–13:45 E228, E. Ulrychová
B_MaB_1/pBRPH: Mon 14:00–14:44 E306, Mon 14:45–15:30 E306, E. Ulrychová
B_MaB_1/pRMO: Wed 8. 10. 14:00–16:29 M15, Wed 15. 10. 14:00–16:29 M15, Wed 22. 10. 14:00–16:29 M15, Wed 5. 11. 14:00–16:29 M15, Wed 12. 11. 14:00–16:29 M15, Wed 19. 11. 14:00–16:29 M15, Wed 3. 12. 14:00–15:30 M15, Wed 10. 12. 14:00–15:30 M15, Wed 17. 12. 14:00–15:30 M15, E. Ulrychová
B_MaB_1/uRKL: Tue 30. 9. 14:00–15:30 K311, 15:45–17:15 K311, Tue 14. 10. 14:00–15:30 K311, 15:45–17:15 K311, Tue 11. 11. 14:00–15:30 K311, Tue 25. 11. 14:00–15:30 K213PC, I. Havlíček
B_MaB_1/uRPH: Tue 30. 9. 15:45–17:15 E227, 17:30–19:00 E227, Tue 14. 10. 15:45–17:15 E024, Tue 18. 11. 15:45–17:15 E024, 17:30–19:00 E024, Tue 2. 12. 14:00–15:30 E024, P. Budinský
B_MaB_1/vRPH: Fri 3. 10. 13:45–15:15 E127, 15:30–17:00 E127, Fri 17. 10. 12:00–13:30 E127, 13:45–15:15 E127, Sat 1. 11. 9:45–11:15 E127, 11:30–13:00 E127, E. Ulrychová
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Students will get familiar with the basic terms of linear algebra and their mutual relationships, with the basic properties of real sequences and real functions of one real variable, especially with the limit of a sequence, the limit of a function and with the basics of the differential calculus.

At the end of the course students should be able to:
- describe the basic terms of linear algebra and their mutual relationships
- deal with vectors and matrices
- find the solution of a system of linear equations using matrices
- describe the basic properties of sequences and real functions of one real variable
- calculate the limit of a a sequence and the limit of a function
- calculate the derivative of a function
- calculate the limit of a function using l’Hôpital’s Rule
Syllabus
  • 1. Vectors and vector spaces.
  • 2. Matrix operations.
  • 3. Solutions of the systems of linear algebraic equations.
  • 4. Sequence and its limit.
  • 5. The notion of function and its graph.
  • 6. Elementary function and its properties.
  • 7. Continuous function, limit of a function at a fixed point and involving infinity.
  • 8. Calculation of the limits of functions.
  • 9. The notion of derivative and the derivatives of elementary functions.
  • 10. Derivatives of a product, quotient.
  • 11. Derivatives of composite functions.
  • 12. L’Hôpital’s Rule and its application.
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
    recommended literature
  • BATÍKOVÁ, B. a kol.: Učebnice matematiky pro ekonomické fakulty. Oeconomica, Praha, 2009.
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
Follow-Up Courses
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Information on the extent and intensity of the course: 12 hodin KS/semestr.
The course is also listed under the following terms Winter 2007, Summer 2008, Winter 2008, Summer 2009, Winter 2009, Summer 2010, Winter 2010, Summer 2011, Winter 2011, summer 2012, Winter 2012, Winter 2013, Winter 2015, Winter 2016, Winter 2017, Winter 2018.
  • Enrolment Statistics (Winter 2014, recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/winter2014/B_MaB_1