M5959 Applied mathematics and statistics - seminar

Faculty of Science
Autumn 2015
Extent and Intensity
0/2. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Teacher(s)
Mgr. Jiří Zelinka, Dr. (lecturer)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable of Seminar Groups
M5959/01: Wed 16:00–17:50 M3,01023, J. Zelinka
Prerequisites
Basic knowledge of calculus, linear algebra and statistics.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Main objectives are important numerical methods of linear algebra and optimization.
Students will be able to apply obtained knowledge in other branches after finishing the course.
Syllabus
  • Moore-Penrose pseudoinverse and relations.
  • Matrix decompositions.
  • Splines and their usage.
  • Some special numerical algorithms of linear algebra.
  • Numerical optimzation.
Literature
  • ŠIK, František. Úvod do splajnů. Kapitoly z teorie konstrukce splajnů. 1. vyd. Brno: Masarykova univerzita, 2001, 86 s. ISBN 80-210-2719-3. info
  • DATTA, Biswa Nath. Numerical linear algebra and applications. Pacific Grove: Brooks/Cole publishing company, 1994, xxii, 680. ISBN 0-534-17466-3. info
  • KOBZA, Jiří. Splajny. Vyd. 1. Olomouc: Vydavatelství Univerzity Palackého v Olomouci, 1993, 224 s. ISBN 807067265X. info
  • FIEDLER, Miroslav. Speciální matice a jejich použití v numerické matematice. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1981, 266 s. URL info
  • GANTMACHER, Feliks Ruvimovič. Teorija matric. Moskva: Gosudarstvennoje izdatel'stvo techniko-teoretičeskoj literatury, 1953, 491 s. info
Teaching methods
Theoretical training and practical performance of students.
Assessment methods
Student presentation during seminary is required for credit.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2015/M5959