PMMAT2 Mathematics II

Faculty of Economics and Administration
Spring 2009
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Luboš Bauer, CSc. (lecturer)
RNDr. Luboš Bauer, CSc. (seminar tutor)
Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)
Mgr. Ing. Adam Remo (seminar tutor)
RNDr. Václav Studený, Ph.D. (seminar tutor)
Guaranteed by
prof. Ing. Osvald Vašíček, CSc.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Timetable
Wed 11:05–12:45 P101
  • Timetable of Seminar Groups:
PMMAT2/1: Tue 16:20–17:55 P104, skupina bude otevřena pouze v případě naplnění ostatních skupin
PMMAT2/10: Thu 8:30–10:05 P312, V. Studený
PMMAT2/11: Thu 10:15–11:50 P312, V. Studený
PMMAT2/12: Wed 18:00–19:35 P403, V. Studený
PMMAT2/13: Thu 17:10–18:45 P312, A. Remo
PMMAT2/14: No timetable has been entered into IS. M. Matulová
PMMAT2/15: Thu 17:10–18:45 P201, L. Bauer
PMMAT2/16: Wed 16:20–17:55 P103, L. Bauer
PMMAT2/2: Tue 18:00–19:35 P104, skupina bude otevřena pouze v případě naplnění ostatních skupin
PMMAT2/3: Wed 14:35–16:15 P304, M. Matulová
PMMAT2/4: Wed 16:20–17:55 P312, V. Studený
PMMAT2/5: Wed 18:00–19:35 P104, L. Bauer
PMMAT2/6: Wed 14:35–16:15 P312, V. Studený
PMMAT2/7: Thu 8:30–10:05 P201, M. Matulová
PMMAT2/8: Thu 10:15–11:50 P201, M. Matulová
PMMAT2/9: Thu 12:00–13:35 P201, L. Bauer
Prerequisites (in Czech)
MATE Mathematics I || PMMATI Mathematics I
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 464 student(s).
Current registration and enrolment status: enrolled: 0/464, only registered: 0/464, only registered with preference (fields directly associated with the programme): 0/464
fields of study / plans the course is directly associated with
there are 7 fields of study the course is directly associated with, display
Course objectives
The course follows the Mathematics I course. The graduates should understand and be able to use basic terms and methods of differential calculus of two and more variables, integral calculus of functions with a single variable, including infinite integrals, progressions and series. Differential equations are also introduced so their mathematical foundations for the following subjects Statistics and Economic-Mathematical Methods are completed.
Syllabus
  • Lectures: 1. Function of more variables. Graphic visualization. 2. Limit and continuity. Partial derivatives. Total differential. Taylor's theorem. 3. Extremes of functions of more variables (local, global) and applications (least squares method of solving systems of linear equations). 4. Sequences, basic characteristics. Limit of sequence, divergent sequence. 5. Primitive function. Integrating by simplification. Integrating by parts. 6. Integrating by substitution. Integrating rational functions. 7. Definite integral. Methods for the definite integral and applications. 8. Infinite integral. 9. Double and multiple integral. 10. Infinite series. Sequence of partial sums, sum of series. Convergence criteria. 11. Functional series. Power series, convergence ratio. 12. Differential equations. General and particular solution. Initial condition. 13. Separation of variables method. Second order linear differential equations. Seminars: 1. Differential and Taylor's theorem for a function of one variable. Graphic visualization. 2. Limit and continuity. Partial derivatives. Total differential. Taylor's theorem. 3. Extremes of functions of more variables (local, global). 4. Sequences, basic characteristics. Limit of sequence. 5. Primitive function. Integrating by simplification. Integrating by parts. 6. Integrating by substitution. Integrating rational functions. 7. Definite integral. Methods for the definite integral and applications. 8. Infinite integral. 9. Test. Infinite series. Sequence of partial sums, sum of series. 10. Infinite series. Convergence criteria. 11. Functional series. Power series, convergence ratio. 12. Differential equations. General and particular solution. Initial condition. 13. Separation of variables method. Second order linear differential equations.
Literature
  • KLŮFA, Jindřich and Jan COUFAL. Matematika pro ekonomy. 1. vyd. Praha: Ekopress, 1997, 405 s. ISBN 8086119009. info
  • KAŇKA, Miloš and Jiří HENZLER. Matematika pro ekonomy. 1. vyd. Praha: Ekopress, 1997, 373 s. ISBN 8086119017. info
  • MIKULÍK, Miloslav. Matematika B. 1. vyd. Brno: Masarykova univerzita, 2005, 308 s. ISBN 8021036400. info
Assessment methods
The course consists of lectures and seminars. Required: active participation in seminars (max. 2 absences), passing a test during the semester (included in the grading). Written and oral examination.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on course enrolment limitations: 10 pouze přednáška
The course is also listed under the following terms Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/econ/spring2009/PMMAT2