BA_MaB_2 Mathematics B 2

University of Finance and Administration
Summer 2013
Extent and Intensity
2/1. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Barbora Batíková, Ph.D. (seminar tutor)
Ing. Miloš Krejčí (assistant)
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_2/cBM1PH: each even Tuesday 10:30–11:14 E128, each even Tuesday 11:15–12:00 E128, B. Batíková
BA_MaB_2/cBM2PH: each odd Tuesday 10:30–11:14 E128, each odd Tuesday 11:15–12:00 E128, B. Batíková
BA_MaB_2/pBMPH: Tue 8:45–9:29 E128, Tue 9:30–10:15 E128, B. Batíková
Prerequisites
The course builds on the subject of BA_MaB_1 of winter semester 1st year. Knowledge at the level of this course curriculum is assumed.
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.
Syllabus
  • 1. Notions pertinent to functions – monotonicity intervals, local extremes of a function. 2. Notions pertinent to the behaviour of functions – convex and concave functions, inflection points. 3. Procedure of investigating the behaviour of a function. 4. Antiderivative and indefinite integral. 5. Integration of elementary functions. 6. Integration by parts. 7. Integration by the substitution method. 8. Integration of rational functions. 9. Riemann’s definite integral. 10. Infinite definite integral. 11. Number series, their convergence and divergence. 12. Power series, their convergence and divergence.
Literature
    required literature
  • Neustupa J.: Mathematics I. Vydavatelství ČVUT, Praha 2004, 2. vydání
Teaching methods
PS: (full time students) 2 hours per week of lectures and 1 hours per week of seminars (2/1); KS: (part time students) 6 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
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
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 summer 2012, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019.
  • Enrolment Statistics (Summer 2013, recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/summer2013/BA_MaB_2