# VSFS:BA_Ma_2 Mathematics 2 - Course Information

## BA_Ma_2 Mathematics 2

**University of Finance and Administration**

Summer 2023

**Extent and Intensity**- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- Ing. Hana Lipovská, Ph.D. (seminar tutor)
**Guaranteed by**- Ing. Hana Lipovská, Ph.D.

Department of Computer Science and Mathematics – Departments – University of Finance and Administration

Contact Person: Bc. Kamila Procházková **Timetable of Seminar Groups**- BA_Ma_2/cECPH: Mon 15:45–16:29 E225, Mon 16:30–17:15 E225,
*H. Lipovská*

BA_Ma_2/pECPH: Mon 14:00–14:44 E225, Mon 14:45–15:30 E225,*H. Lipovská* **Prerequisites**-
**BA_Ma_1**Mathematics 1

The requirement for the completion of this course is completion of the course BA_MaB_1. **Course Enrolment Limitations**- The course is offered to students of any study field.
**Course objectives**- Students will learn the notions and procedures used in the investigation of the behaviour of functions (local extremes, convex function and concave function and their geometrical interpretations). Furthermore, they will learn the meanings of the antiderivative, indefinite integral, method of integration by parts, method of integration by substitution, integration of rational functions, and Riemann’s definite integral and its application. Infinite number series, power series and the development of functions into series will also be presented to the students. The last topic are functions of several variables, particularly partial derivatives and finding extrema.
**Learning outcomes**- At the end of the course students will be able to: -find local extremes and intervals of monotony of a function -find points of inflection and intervals of convexity and concavity of a function -evaluate an indefinite integral (by parts, by substitution), definite integral and describe its applications -describe basic properties of infinite series and power series -find local extremes of a function of two variables
**Syllabus**- 1. Monotonicity and local extremes.
- 2. Convexity, concavity and inflection points.
- 3. Graph of function. Taylor polynomial.
- 4. Indefinite integral.
- 5. Integration by parts.
- 6. Integration by substitution.
- 7. Definite integral.
- 8. Improper integral.
- 9. Infinite series.
- 10. Power series.
- 11. Functions of several variables. Partial derivatives.
- 12. Local extremes of function of two variables .

**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

*required literature*- Mathematics for economic universities, Jindřich Klůfa, Nikola Kaspříková, Vydavatel: EKOPRESS ISBN: 978-80-87865-01-9, Vyšlo: 2013/10

*recommended literature***Teaching methods**- PS: (full time students) 2 hours per week of lectures and 2 hours per week of seminars (2/2); KS: (part time students) 12 seminars (90 min each). Lectures for present studies will be split into theoretical as well as practical part. Theoretical parts will be always explained on practical examples. Even more interactive form of study is applied in KS (part time study). Students in full time study program should attend 75% of seminars as a minimum. Students in part time study program should attend 50% of seminars as a minimum.
**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
**Further comments (probably available only in Czech)**- Study Materials

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 (Summer 2023, recent)
- Permalink: https://is.vsfs.cz/course/vsfs/summer2023/BA_Ma_2