BA_MaB_2 Mathematics B 2

University of Finance and Administration
Summer 2016
Extent and Intensity
2/1. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Barbora Batíková, Ph.D. (lecturer)
doc. RNDr. Petr Budinský, CSc. (lecturer)
Ing. Miloš Krejčí (assistant)
Guo Yuning, MS (assistant)
Guaranteed by
Mgr. Barbora Batíková, Ph.D.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Ing. Barbora Ptáčková
Timetable of Seminar Groups
BA_MaB_2/cBMCPH: each odd Thursday 10:30–11:14 E125, each odd Thursday 11:15–12:00 E125, B. Batíková
BA_MaB_2/cBMPH: each even Thursday 10:30–11:14 E227, each even Thursday 11:15–12:00 E227, B. Batíková
BA_MaB_2/pBMCPH: Tue 8:45–9:29 E125, Tue 9:30–10:15 E125, except Tue 8. 3., except Tue 15. 3., except Tue 22. 3., except Tue 29. 3., except Tue 19. 4., except Tue 26. 4. ; and Tue 23. 2. 10:30–12:00 E125, Mon 21. 3. 14:00–15:30 E125, 15:45–17:15 E125, Fri 1. 4. 10:30–12:00 E125, Tue 5. 4. 10:30–12:00 E125, Tue 12. 4. 10:30–12:00 E125, P. Budinský
BA_MaB_2/pBMPH: Thu 8:45–9:29 E227, Thu 9:30–10:15 E227, B. Batíková
Prerequisites
BA_MaB_1 Mathematics B 1
The requirement for the completion of this course is completion of the course BA_MaB_1.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Students will learn the notions and procedures used in the investigation of the behaviour of functions (local extremes, convex function and concave function and their geometrical interpretations). Furthermore, they will learn the meanings of the antiderivative, indefinite integral, method of integration by parts, method of integration by substitution, integration of rational functions, and Riemann’s definite integral and its application. Infinite number series, power series and the development of functions into series will also be presented to the students. The last topic are functions of several variables, particularly partial derivatives and finding extrema.
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 by parts. 6. Integration by the substitution method. 7. Definite integral. 8. Infinite definite integral. 9. Number series, their convergence and divergence. 10. Power series, their convergence and divergence. 11. Functions of several variables. Partial derivatives. 12. Functions of several variables. Extrema.
Literature
    required literature
  • Neustupa J.: Mathematics I. Vydavatelství ČVUT, Praha 2004, 2. vydání
  • Mathematics for Economics Plný text k dispozici By: Hoy, Michael; Rees, Ray; Stengos, Thanasis; Livernois, John; McKenna, Chris. Edition: 3rd ed. Cambridge, Mass : MIT Press. 2011. eBook.
    recommended literature
  • Mathematics for economic universities, Jindřich Klůfa, Nikola Kaspříková, Vydavatel: EKOPRESS ISBN: 978-80-87865-01-9, Vyšlo: 2013/10
Teaching methods
PS: (full time students) 2 hours per week of lectures and 1 hours per week of seminars (2/1); KS: (part time students) 6 seminars (90 min each). Lectures for present studies will be split into theoretical as well as practical part. Theoretical parts will be always explained on practical examples. Even more interactive form of study is applied in KS (part time study). Students in full time study program should attend 75% of seminars as a minimum. Students in part time study program should attend 50% of seminars as a minimum.
Assessment methods
The subject is completed by credit test and written examination. The credit test comprises 5 questions. Reaching the result of minimum 6 points out of 10 points is the precondition to gain the credit. Grading will be based on an individual written examination.
Language of instruction
English
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 summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2017, Summer 2018, Summer 2019.
  • Enrolment Statistics (Summer 2016, recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/summer2016/BA_MaB_2