MB000c Math.analysis I - seminar

Faculty of Science
Autumn 2011 - acreditation

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity
0/1. 1 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Teacher(s)
Mgr. et Mgr. Jaroslav Urbánek (lecturer)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
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
Course objectives
At the end of the course students should be able to use the computer algebra system Maple to solve the mathematical analysis problems.
Syllabus
  • Introduction to Maple.
  • Expressions and their modifications.
  • Real functions of one variable, composite and inverse function.
  • Limit and continuity of real functions of one variable.
  • Derivative, differential, and Taylor polynomial.
  • Investigation of graphs of functions.
  • Primitive function, integral of a function.
  • Substitution method and integration by parts.
  • Riemann integral of functions of one variable.
  • Geometrical applications of the Riemann integral.
  • Improper integral.
Literature
  • NOVÁK, Vítězslav. Integrální počet v R. vydání třetí, přepracované. Brno: Masarykova univerzita v Brně-PřF, 2001, 89 pp. ISBN 80-210-2720-7. info
  • NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
Teaching methods
The lecture is conducted by means of computer excersise. Students are firstly shown how to resolve given problems with the help of the system Maple. Students subsequently try their obtained knowledge on assigned exercises.
Assessment methods
In the semester's duration two unexcused absences are allowed. The requirement for the successful course completion is the attendance and passing of the final test at 50 % minimum.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is taught: every week.
General note: dodatečná hodina cvičení pro studenty mat. biologie.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013.