BA_MaB_1 Mathematics B 1

University of Finance and Administration
Winter 2017
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Petr Budinský, CSc. (lecturer)
PaedDr. Renata Majovská, PhD. (lecturer)
Mgr. Barbora Batíková, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Barbora Batíková, Ph.D.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Ivana Plačková
Timetable of Seminar Groups
BA_MaB_1/cBMCPH: Tue 8:45–9:29 E125, Tue 9:30–10:15 E125, P. Budinský
BA_MaB_1/cBMPH: Wed 10:30–11:14 E228, Wed 11:15–12:00 E228, except Wed 20. 12. ; and Tue 5. 12. 15:45–17:15 E124, R. Majovská
BA_MaB_1/pBMCPH: Thu 14:00–14:44 E125, Thu 14:45–15:30 E125, B. Batíková
BA_MaB_1/pBMPH: Mon 14:00–14:44 E227, Mon 14:45–15:30 E227, except Mon 18. 12. ; and Tue 5. 12. 14:00–15:30 E124, R. Majovská
Prerequisites
There are no prerequisites for this course.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Clarification of the terms of linear algebra and their mutual relationships (vector spaces, matrix operations, solutions to the system of linear equations). Presenting the sequence and its limit; function; continuous function and the limit of a function; and elementary functions to the students. Understanding the mathematical operation of a derivative and its main properties; learning to calculate the derivatives of functions; learning the basic theorems in differential calculus.
Syllabus
  • 1. Foundations of mathematical logic. Sets.
  • 2. Vectors and vector spaces.
  • 3. Matrix. Rank of matrix.
  • 4. System of linear equations.
  • 5. Matrix operations. Inverse matrix.
  • 6. Determinants.
  • 7. Sequence. Limit of sequence.
  • 8. Function and its properties.
  • 9. Basic functions. Continuity and limit of function.
  • 10. Derivative and its properties.
  • 11. Derivative of composite function.
  • 12. Applications of derivative - 'Hospital's rule, equation of tangent line.
Literature
    required literature
  • 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.
  • Neustupa J.: Mathematics I. Vydavatelství ČVUT, Praha 2004, 2. vydání
    recommended literature
  • Mathematics for economic universities, Jindřich Klůfa, Nikola Kaspříková, Vydavatel: EKOPRESS ISBN: 978-80-87865-01-9, Vyšlo: 2013/10
Teaching methods
The subject is delivered in full-time study by 12 lectures of theory and 6 seminars. Lectures and seminars in full-time study; 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
Compulsory seminar participation is 75% in full-time study. 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
Follow-Up Courses
Further Comments
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2011, summer 2012, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2018.
  • Enrolment Statistics (Winter 2017, recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/winter2017/BA_MaB_1