MB001c Mathematical analysis II - seminar

Faculty of Science
Spring 2011 - only for the accreditation
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 (seminar tutor)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
It is necessary to have finished the course MB000 or simultaneously to study the course MB000.
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 multivariate calculus problems.
Syllabus
  • Differential calculus of functions of several variables, partial derivatives, differential.
  • Extrema of functions of several variables.
  • Integral calculus of functions of several variables. Double and triple integrals, integrals depending on parameter.
  • Infinite series, criteria convergence.
  • Absolute convergence of series.
Literature
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vydání první. Brno: Vydavatelství Masarykovy univerzity, 1994, 130 stran. ISBN 8021009926. 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
Further comments (probably available only in Czech)
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 Spring 2008 - for the purpose of the accreditation, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014.