UFMM013 Mathematics II

Faculty of Philosophy and Science in Opava
Summer 2019
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 (in Czech)
Vhodné je předem absolvovat předmět Matematika I.
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.
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
Language of instruction
Czech
Further comments (probably available only in Czech)
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 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2020, Summer 2021, Summer 2022, Summer 2023.
  • Enrolment Statistics (Summer 2019, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2019/UFMM013