BA_MaB_1 Mathematics B 1

University of Finance and Administration
Winter 2013
Extent and Intensity
2/1. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
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: Dagmar Medová, DiS.
Timetable of Seminar Groups
BA_MaB_1/cBM1PH: each even Thursday 10:30–11:14 E227, each even Thursday 11:15–12:00 E227, B. Batíková
BA_MaB_1/cBM2PH: each odd Thursday 10:30–11:14 E227, each odd Thursday 11:15–12:00 E227, B. Batíková
BA_MaB_1/pBMPH: Thu 8:45–9:29 E227, Thu 9:30–10:15 E227, B. Batíková
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. Vectors and vector spaces.
  • 2. Matrix operations.
  • 3. Solutions to 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 composed functions.
  • 12. L’Hôpital’s Rule and its application.
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.
Teaching methods (in Czech)
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 (in Czech)
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.
Language of instruction
English
Follow-Up Courses
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
General note: b0.
Information on the extent and intensity of the course: 12 hodin KS/semestr.
The course is also listed under the following terms Winter 2011, summer 2012, Winter 2012, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018.
  • Enrolment Statistics (Winter 2013, recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/winter2013/BA_MaB_1