UFPA128 Mathematics II

Faculty of Philosophy and Science in Opava
Summer 2023
Extent and Intensity
2/3/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jiří Kovář, Ph.D. (lecturer)
doc. RNDr. Jiří Kovář, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jiří Kovář, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites

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
The aim of the course is to introduce fundamentals of linear algebra and analytical geometry. The lectures are focused on mathematical calculations, solving problems and practical applications. Introduced definitions and theorems act as basic tools for students to understand the subject matter without an intention to understand deep theoretical context and details. The course will fix and increase knowledge of some more complex topics of high-school mathematics and built a sufficient level of knowledge necessary for courses in physics of the study.
Learning outcomes

Syllabus
  • * introduction to mathematical logic and set theory
    * mathematical mapping and algebraic structures
    * matrixes and determinants
    * linear system of equations
    * vectors
    * analytical geometry
Literature
    recommended literature
  • M. Kočandrle - L. Boček. Matematika pro gymnázia - Analytická geometrie. info
  • I. Bušek - L. Boček - E. Calda. Matematika pro gymnázia - Základní poznatky z matematiky. info
  • J. Polák. Přehled středoškolské matematiky. info
  • K. Rektorys a spol. Přehled užité matematiky I. ISBN 80-85849-92-5. info
  • J. Polák. Středoškolská matematika v úlohách I, II. info
  • Klíč A. Matematika I ve strukturovaném studiu. 1. vyd. 2004. ISBN 80-7080-549-8. info
  • L. Bican. Lineární algebra a geometrie. Academia Praha, 2000. ISBN 80-200-0843-8. info
Teaching methods

Assessment methods

Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
* 15 points from two written tests in exercises (maximum is 20 points) and active participation in exercises (maximum is 10 points)
* 50 points from written and oral part of exam (maximum from written part is 50 points, maximum from oral part is 10 points) minus points gained in exercises.
The course is also listed under the following terms Summer 1994, Summer 1995, Summer 1996, Summer 1997, Summer 1998, Summer 1999, Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2022.
  • Enrolment Statistics (recent)
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