FI:MB102 Calculus - Course Information

MB102 Differential and Integral Calculus

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)
Mgr. Milan Bačík (seminar tutor)
Mgr. Veronika Bernhauerová, Ph.D. (seminar tutor)
Mgr. Zdeňka Geršlová (seminar tutor)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Jiří Janda, Ph.D. (seminar tutor)
Mgr. David Kruml, Ph.D. (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
RNDr. Jiří Pecl, Ph.D. (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Dr. Alexandru Emil Stanculescu, Ph.D. (seminar tutor)
Mgr. Kateřina Štekovičová (seminar tutor)
doc. Lukáš Vokřínek, PhD. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (assistant)

Guaranteed by

prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science

Timetable

Mon 10:00–11:50 D1

• Timetable of Seminar Groups:

MB102/T01: Mon 14:00–15:55 Učebna S6 (20), J. Pecl
MB102/T02: Tue 8:00–9:55 Učebna S6 (20), Thu 8:00–9:55 Učebna S11 (58), Fri 8:00–9:55 Učebna S5 (31), J. Hořanská
MB102/T03: Wed 9:00–10:55 Učebna S8 (17), J. Pecl
MB102/01: Tue 12:00–13:50 G125, M. Chvátal
MB102/02: Tue 14:00–15:50 G125, M. Chvátal
MB102/03: Wed 8:00–9:50 G125, M. Maračková
MB102/04: Wed 16:00–17:50 G124, V. Růžička
MB102/05: Wed 12:00–13:50 G125, L. Vokřínek
MB102/06: Wed 18:00–19:50 G124, V. Růžička
MB102/07: Mon 12:00–13:50 G125, Z. Geršlová
MB102/08: Mon 14:00–15:50 G125, Z. Geršlová
MB102/09: Wed 8:00–9:50 G123, D. Kruml
MB102/10: Wed 10:00–11:50 G123, D. Kruml
MB102/11: Mon 16:00–17:50 G124, J. Janda
MB102/12: Mon 16:00–17:50 G125, V. Bernhauerová
MB102/13: Mon 18:00–19:50 G125, V. Bernhauerová
MB102/14: Mon 18:00–19:50 G124, L. Vokřínek
MB102/15: Fri 8:00–9:50 G123, M. Bačík
MB102/16: Thu 14:00–15:50 G125, A. Stanculescu

Prerequisites

! NOW ( MB202 Calculus B ) && ! MB202 Calculus B
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 / plans the course is directly associated with

there are 16 fields of study the course is directly associated with, display

Course objectives

The second part of the block of four courses in Mathematics. In the entire course, the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics are presented. This semester is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to deal with both practical and theoretical tasks related to the derivative and integral (indefinite and definite integral) 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 series of functions and power series.

Syllabus

• 1. Creating the ZOO (4 weeks) – interpolation of data by polynomials and splines; scalar sequences,limits of sequenses and functions; continuity and derivatives; power series; elementary functions.
• 2. Differential and integral Calculus (5 weeks) – higher order derivatives and Taylor expansion; extremes of functions; Riemann and Newton integration (area, volumes, etc.); numerical derivatives and integration.
• 3. Continuous models (3 week) – aproximation of functions; Fourier series (including the numerical aspects); convolution (including the discrete version).

Literature

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

Bookmarks

https://is.muni.cz/ln/tag/FI:MB102!

Teaching methods

Lectures cover theory and illustrative solved problems. Seminar groups are devoted to solving problems.

Assessment methods

Lectures combining theory with explicit problem solving. Seminar groups devoted to solving numerical problems.

Language of instruction

Czech

Follow-Up Courses

• MB103 Continuous models and statistics
• MB104 Discrete mathematics
• MB204 Discrete mathematics B

Further comments (probably available only in Czech)

Study Materials
The course is taught each semester.

Listed among pre-requisites of other courses

• PřF:M3121 Probability and Statistics I
  M2100 || FI:MB001||FI:MB102||M2B02||FI:MB202|| NOW(MIN301) || MIN301 || FI:MB152  
• PřF:M5858 Continuous deterministic models I
  (M1110||M1111) && (M1100||M1101||FI:MB000||M1100F)||FI:MB103||FI:MB203||MB103v||FI:MB102||M2B02  
• MB142 Applied math analysis
  !MB152 && !NOW(MB152) && !MB102 && !MB202  
• MB143 Design and analysis of statistical experiments
  MB141 || MB142 || MB101 || MB201 || MB102 || MB202 || MB151 || MB152  
• MB152 Differential and Integral Calculus
  ( !MB202 && !MB102 )  
• MB153 Statistics I
  ( MB151 || MB101 || MB201 || MB152 || MB102 || MB202 || PřF:M1110 || PřF:M1100 ) && ( !MB103 && !MB203 && !MV011 )  
• MB154 Discrete mathematics
  !MB104 && !MB204 && ( MB101 || MB201 || MB151 || MB102 || MB202 || MB152 || PřF:M1110 || PřF:M1100 )  

• Enrolment Statistics (Spring 2013, recent)
  
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