BA_Ma_1 Mathematics 1

University of Finance and Administration
Winter 2019
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Barbora Batíková, Ph.D. (seminar tutor)
PaedDr. Renata Majovská, PhD. (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_Ma_1/cCUPH: Thu 15:45–16:29 E125, Thu 16:30–17:15 E125, except Thu 14. 11. ; and Thu 21. 11. 17:30–19:00 E125, B. Batíková
BA_Ma_1/cECPH: Thu 12:15–12:59 E227, Thu 13:00–13:45 E227, except Thu 14. 11. ; and Thu 28. 11. 10:30–12:00 E227, B. Batíková
BA_Ma_1/pCUPH: Thu 14:00–14:44 E125, Thu 14:45–15:30 E125, except Thu 14. 11. ; and Thu 7. 11. 17:30–19:00 E125, B. Batíková
BA_Ma_1/pECPH: Wed 14:00–14:44 E128, Wed 14:45–15:30 E128, 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.
Learning outcomes
At the end of the course students will be able to: -solve a linear system by matrices -evaluate limits of functions and limits of sequences -evaluate a derivative of a function -evaluate a limit of function by l'Hospital's rule
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 - l'Hospital's rule, equation of tangent line.
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
The subject is delivered in full-time study by 12 lectures of theory and 12 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. Passing a written test (min. 60%) is required to award the credit. Prerequisite for taking the exam is the credit. Grading will be based on an individual written examination.
Language of instruction
English
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: 16 hodin KS/semestr.
The course is also listed under the following terms Winter 2020, Winter 2021, Winter 2022, Winter 2023, Winter 2024.
  • Enrolment Statistics (Winter 2019, recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/winter2019/BA_Ma_1