FI:MA002 Calculus III - Course Information
MA002 Calculus III
Faculty of InformaticsAutumn 2012
- Extent and Intensity
- 3/0. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
- Teacher(s)
- doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
Mgr. Bc. Tomáš Hebelka (assistant)
doc. RNDr. Michal Veselý, Ph.D. (assistant)
RNDr. Jan Vondra, Ph.D. (alternate examiner) - Guaranteed by
- doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Supplier department: Faculty of Science - Timetable
- Tue 11:00–13:50 G124
- Prerequisites
- ! M002 Calculus III || MB001 Calculus II
Completion of courses Mathematical Analysis I and Mathematical Analysis II. - 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 22 fields of study the course is directly associated with, display
- Course objectives
- The course that presents not obligatory part of mathematical analysis. It is devoted to study of series, line integrals,a basic of the theory of complex functions of complex variable and elementary methods of the solution of differential equations. At the end of the course students should be able to: to define and interpret the basic notions used in the fields mentioned above; to formulate relevant mathematical theorems and statements and to explain methods of their proofs; to use effective techniques utilized in these subject areas; to apply acquired pieces of knowledge for the solution of specific problems; to analyse selected problems from the topics of the course.
- Syllabus
- Functional series, uniform convergence.
- Power series, radius of convergence.
- Fourier series.
- Dependence of integrals on parameters.
- Implicit functions.
- Line integral, Green's formula.
- Complex functions of complex variable.
- Cauchy's theorem, residua.
- First order differential equations, direction field, initial conditions.
- Higher order linear differential equations, equations with constant coefficients.
- Literature
- NOVÁK, Vítězslav and Zuzana DOŠLÁ. Nekonečné řady (Infinite series). 1. vyd. Brno: Masarykova univerzita v Brně, 1998, 120 pp. skripta. ISBN 80-210-1949-2. info
- KALAS, Josef and Miloš RÁB. Obyčejné diferenciální rovnice (Ordinary differential equations). 1st ed. Brno: Masarykova univerzita Brno, 1995, 207 pp. ISBN 80-210-1130-0. info
- RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
- Teaching methods
- lectures (3 hours per week); it is recommended to enrol also MA019 Practicing Calculus III
- Assessment methods
- Exam: written (theory test + practical part), it takes 120 minutes.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
- Enrolment Statistics (Autumn 2012, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2012/MA002