B_MaA_1 Mathematics A 1

University of Finance and Administration
Winter 2018
Extent and Intensity
2/2. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
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: Ivana Plačková
Timetable of Seminar Groups
B_MaA_1/cAPH: Wed 10:30–11:14 E129, Wed 11:15–12:00 E129, except Wed 24. 10., except Wed 21. 11. ; and Wed 24. 10. 10:30–12:00 E126, Wed 21. 11. 10:30–12:00 E303PC, E. Ulrychová
B_MaA_1/pAPH: Wed 8:45–9:29 E129, Wed 9:30–10:15 E129, except Wed 24. 10., except Wed 21. 11. ; and Wed 24. 10. 8:45–10:15 E303PC, Wed 21. 11. 8:45–10:15 E303PC, E. Ulrychová
B_MaA_1/vAPH: Fri 12. 10. 15:45–17:15 E225, 17:30–19:00 E225, Fri 9. 11. 15:45–17:15 E230, 17:30–19:00 E230, Sat 24. 11. 9:45–11:15 E227, 11:30–13:00 E227, E. Ulrychová
Prerequisites
There are no prerequisites for this course.
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
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, with the basics of the differential calculus and with the notions and procedures used in the investigation of the monotony and local extrema of functions, of the convexity and concavity and inflection points.
Learning outcomes
At the end of the course students should be able to:
- find the solution of a system of linear equations using matrices
- calculate the limit of a a sequence and the limit of a function
- calculate the derivative of a function and use it for finding extrema, monotonicity intervals and convexity and concavity intervals
Syllabus
  • 1. Vectors and vector spaces
  • 2. Matrix. Rank of matrix
  • 3. System of linear equations
  • 4. Matrix operations. Inverse matrix
  • 5. Determinants
  • 6. Sequence and its limit
  • 7. Function and its properties
  • 8. Basic functions. Continuity and limit of function
  • 9. Derivative and its properties
  • 10. Derivative of composite function
  • 11. Applications of derivatives -- l’Hôpital’s rule, equation of tangent line
  • 12. Monotony and local extrema. Convexity and concavity, inflection points
Literature
    required literature
  • BUDINSKÝ, Petr a Ivan HAVLÍČEK. Matematika pro vysoké školy ekonomického a technického zaměření. Praha: VŠFS, 2005 (dotisk 2013). 131 s. ISBN 80-86754-45-6.
  • BUDINSKÝ, Petr a Ivan HAVLÍČEK. Sbírka příkladů z matematiky pro vysoké školy ekonomického a technického zaměření. Praha: VŠFS, 2005 (dotisk 2016). 121 s. ISBN 80-86754-52-9.
    recommended literature
  • BATÍKOVÁ, Barbora a kolektiv. Učebnice matematiky pro ekonomické fakulty, Praha: Oeconomica, 2009. 206 s. ISBN 978-80-245-1539-7.
  • LÁNSKÝ, Jan and Eva ULRYCHOVÁ. Maticové algoritmy. Praha: Publishing House CURRICULUM, 2015, 138 pp. ISBN 978-80-904948-8-6. info
  • LÁNSKÝ, Jan a Eva ULRYCHOVÁ. Maticové algoritmy - online catalogue NKP: www.csrggroup.org
Teaching methods
- lectures and seminars in full-time study, - tutorials in part-time study, Minimal required participation is 75% on seminars in full-time study and 50% on tutorials in part-time study. Students with lower than required participation have to fulfill additional study duties.
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 2014, Winter 2015, Winter 2016, Winter 2017.
  • Enrolment Statistics (recent)
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