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FI:MB102 Mathematics II - Course Information

## MB102 Mathematics II

**Faculty of Informatics**

Spring 2009

**Extent and Intensity**- 2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
**Teacher(s)**- prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)

doc. RNDr. Michal Veselý, Ph.D. (lecturer)

Mgr. Vojtěch Kubáň (seminar tutor)

Mgr. Petr Liška, Ph.D. (seminar tutor)

Mgr. Jan Meitner (seminar tutor)

RNDr. Petr Novotný, Ph.D. (seminar tutor)

Ing. Mgr. Petr Valenta (seminar tutor)

doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor) **Guaranteed by**- prof. RNDr. Jan Slovák, DrSc.

Faculty of Informatics **Timetable**- Mon 8:00–9:50 D1, Wed 14:00–15:50 D1, Wed 16:00–17:50 D1
- Timetable of Seminar Groups:

*P. Liška*

MB102/02: Tue 8:00–9:50 B007,*P. Liška*

MB102/03: Wed 16:00–17:50 B003,*J. Meitner*

MB102/04: Wed 18:00–19:50 B003,*J. Meitner*

MB102/05: Tue 8:00–9:50 B003,*V. Kubáň*

MB102/06: Tue 10:00–11:50 B003,*V. Kubáň*

MB102/07: Fri 8:00–9:50 B011,*P. Novotný*

MB102/08: Fri 10:00–11:50 B011,*P. Novotný*

MB102/09: Thu 8:00–9:50 B007,*J. Meitner*

MB102/10: Wed 12:00–13:50 B007,*P. Zemánek*

MB102/11: Fri 8:00–9:50 C511,*P. Valenta*

MB102/12: Fri 14:00–15:50 B007,*P. Valenta* **Prerequisites**- !
**MB003**Linear Algebra and Geometry I &&! NOW (**MB003**Linear Algebra and Geometry I )

High school mathematics. **Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**Fields of study the course is directly associated with**- there are 15 fields of study the course is directly associated with, display
**Course objectives**- The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted with applications of such differential equations in physics, chemistry, and economics.
**Syllabus**- Polynomial interpolation, derivative of polynomials, cubic splines
- Continuous functions and limits
- Derivative and its applications
- Elementary functions
- Indefinite integral
- Riemann integral and its applications
- Infinite series and power series, Fourier series, integral transformations
- Elementary differential equations and their applications

**Literature**- RILEY, K.F., M.P. HOBSON and S.J. BENCE.
*Mathematical Methods for Physics and Engineering*. second edition. Cambridge: Cambridge University Press, 2004. 1232 pp. ISBN 0 521 89067 5. info *Matematická analýza pro fyziky.*Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001. v, 320 s. ISBN 80-85863-65-0. info- DOŠLÁ, Zuzana and Vítězslav NOVÁK.
*Nekonečné řady*. Vyd. 1. Brno: Masarykova univerzita, 1998. 113 s. ISBN 8021019492. info

- RILEY, K.F., M.P. HOBSON and S.J. BENCE.
**Bookmarks**- https://is.muni.cz/ln/tag/FI:MB102!
**Assessment methods**- Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
**Language of instruction**- Czech
**Follow-Up Courses****Further comments (probably available only in Czech)**- Study Materials

The course is taught annually. **Listed among pre-requisites of other courses**- PřF:
**M3121**Probability and Statistics I

M2100 || FI:MB001||FI:MB102||M2B02||FI:MB202 - PřF:
**M5858**Continuous deterministic models I

(M1110||M1111) && (M1100||M1101||FI:MB000||M1100F)||FI:MB103||FI:MB203||MB103v||FI:MB102||M2B02 **MA015**Graph Algorithms

MB005||(MB101&&MB102)||(MB201&&MB102)||(MB101&&MB202)||(MB201&&MB202)||(PřF:M1120)||PROGRAM(N-IN)||PROGRAM(N-AP)

- PřF:

- Enrolment Statistics (Spring 2009, recent)
- Permalink: https://is.muni.cz/course/fi/spring2009/MB102