VSFS:B_Ma_1 Mathematics 1 - Course Information

B_Ma_1 Mathematics 1

Extent and Intensity

2/2/0. 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_Ma_1/cFPH: Wed 12:15–12:59 E401, Wed 13:00–13:45 E401, except Wed 25. 10., except Wed 1. 11. ; and Wed 25. 10. 12:15–13:45 E227, Wed 1. 11. 12:15–13:45 E227, E. Ulrychová
B_Ma_1/c1APH: each even Tuesday 8:45–9:29 E306, each even Tuesday 9:30–10:15 E306, each even Tuesday 10:30–11:14 E306, each even Tuesday 11:15–12:00 E306, E. Ulrychová
B_Ma_1/c2APH: Thu 10:30–11:14 E225, Thu 11:15–12:00 E225, E. Ulrychová
B_Ma_1/pAFPH: each odd Tuesday 8:45–9:29 E007KC, each odd Tuesday 9:30–10:15 E007KC, each odd Tuesday 10:30–11:14 E007KC, each odd Tuesday 11:15–12:00 E007KC, E. Ulrychová
B_Ma_1/vAPH: Fri 29. 9. 14:00–15:30 E230, 15:45–17:15 E230, Sat 14. 10. 14:00–15:30 E004, 15:45–17:15 E004, Fri 3. 11. 14:00–15:30 E230, 15:45–17:15 E230, Fri 15. 12. 14:00–15:30 E230, 15:45–17:15 E230, E. Ulrychová

Prerequisites

There are no prerequisites for this course.

Course Enrolment Limitations

The course is offered to students of any study field.

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, especially with the limit of a sequence, the limit of a function and with the basics of the differential calculus.

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
- calculate the limit of a function using l’Hôpital’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 and its limit
• 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 derivatives -- l’Hôpital’s rule, equation of tangent line

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.
• KLŮFA, Jindřich. Základy matematiky pro Vysokou školu ekonomickou. Praha: Ekopress, 2021. ISBN 978-80-87865-72-9.

Teaching methods

The course is realised in the form of lecturers and seminars in full time study and 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

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

• B_Ma_2 Mathematics 2

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.

• Enrolment Statistics (Winter 2023, recent)
  
• Permalink: https://is.vsfs.cz/course/vsfs/winter2023/B_Ma_1