MA019 Practicing Calculus III

Faculty of Informatics
Autumn 2012
Extent and Intensity
0/2. 2 credit(s) (plus extra credits for completion). Type of Completion: z (credit).
Teacher(s)
doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
Mgr. Bc. Tomáš Hebelka (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Wed 12:00–13:50 G125
Prerequisites
MB001 Calculus II || PROGRAM(N-IN) || PROGRAM(N-AP)
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 23 fields of study the course is directly associated with, display
Course objectives
At the end of this course, students should be able to activly use the theories of infinite series, metric spaces, line integrals, elementary ordinary differential equations and functions of complex variable, in solving (simple) examples.
Syllabus
  • - functional and power series
  • - Fourier series
  • - line integral, Green's theorem
  • - improper integral, parameter-dependent integral
  • - implicit functions
  • - basics of the theory of complex functions of the complex variable, residue theory
  • - elementary methods for solving of ordinary differential equations of the first order
  • - elementary methods for solving of ordinary differential equations of the n-th order with constant coefficients
Literature
  • NOVÁK, Vítězslav and Zuzana DOŠLÁ. Nekonečné řady (Infinite series). Prvni dotisk 1. vyd. Brno: Masarykova univerzita v Brně, 2002, 120 pp. skripta. ISBN 80-210-1949-2. info
  • KALAS, Josef and Miloš RÁB. Obyčejné diferenciální rovnice. 1. vyd. Brno: Masarykova univerzita, 1995, 207 s. ISBN 8021011300. info
  • RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
Teaching methods
class exercises; it is recommended to enrol also MA002 Matematická analýza III
Assessment methods
max. 2 unexcused nonattendance and at least 50 % (in a sum) of points from two written credit tests; each other unexcused nonattendance raises minimum of the necessary points about 20 %.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011.
  • Enrolment Statistics (recent)
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