BA_MaB_2 Mathematics B 2

Vysoká škola finanční a správní
léto 2015
Rozsah
2/1. 12 hodin KS/semestr. 6 kr. Ukončení: zk.
Vyučující
Mgr. Barbora Batíková, Ph.D. (cvičící)
Ing. Miloš Krejčí (pomocník)
Garance
Mgr. Barbora Batíková, Ph.D.
Katedra informatiky a matematiky (FES, KIM) – Katedry – Vysoká škola finanční a správní
Kontaktní osoba: Tamara Urbánková
Rozvrh seminárních/paralelních skupin
BA_MaB_2/cBMPH: každý sudý čtvrtek 10:30–11:14 E125, každý sudý čtvrtek 11:15–12:00 E125, B. Batíková
BA_MaB_2/pBMPH: Čt 8:45–9:29 E125, Čt 9:30–10:15 E125, B. Batíková
Předpoklady
BA_MaB_1 Mathematics B 1
The requirement for the completion of this course is completion of the course BA_MaB_1.
Omezení zápisu do předmětu
Předmět je otevřen studentům libovolného oboru.
Cíle předmětu
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.
Osnova
  • 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. Functions of two variables.
Literatura
    povinná literatura
  • 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
Výukové metody
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.
Metody hodnocení
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.
Vyučovací jazyk
Angličtina
Další komentáře
Předmět je dovoleno ukončit i mimo zkouškové období.
Předmět je zařazen také v obdobích léto 2012, léto 2013, léto 2014, léto 2016, léto 2017, léto 2018, léto 2019.