MZ201 Mathematics for Cartography

Faculty of Science
Autumn 2020
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Lenka Přibylová, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable of Seminar Groups
MZ201/01: Wed 9:00–11:50 M2,01021
Prerequisites
Fundamentals of high-school mathematics.
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 main objectives of the course are: to introduce mathematical description of mappings (linear algebra);
to exercise calculations with goniometric functions;
to acquire basic skills in using differential calculus.
Learning outcomes
The main objectives of the course are: to introduce mathematical description of mappings (linear algebra);
to exercise calculations with goniometric functions;
to acquire basic skills in using differential calculus.
Syllabus
  • 1. Vectors, matrices, determinants.
  • 2. Vector and Euclidian spaces.
  • 3. Functions and their basic properties.
  • 4. Elementary functions; in particular the goniometric ones.
  • 5. Sequences, limit.
  • 6. Basic concepts of differential calculus: continuity, limit, derrivative.
  • 7. Multiple variable functions, partial derivatives, differential.
  • 8. Applications of derivative.
Literature
    recommended literature
  • Štědrý, Milan. Sbírka úloh k matematice pro kartografy. Vyd. 1. Praha: Karolinum, 2004. 92s. ISBN 80-246-0806-5
    not specified
  • https://is.muni.cz/auth/el/1431/jaro2018/MZ201/um/Matematika_Kartografie.pdf
  • DOŠLÁ, Zuzana and Petr LIŠKA. Matematika pro nematematické obory : s aplikacemi v přírodních a technických vědách. 1. vyd. Praha: Grada, 2014, 304 s. ISBN 9788024753225. URL info
  • MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis). Brno: VUTIUM, 2006, 281 pp. Vysokoškolské učebnice. ISBN 80-214-2914-3. info
Teaching methods
Seminar including solution of selected problems, class discussion.
Assessment methods
The conditions may be specified according to the evolution of the epidemiological situation and the legislative restrictions, it is assumed that the classification will be based on a written test.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
General note: Zapisují pouze posluchači oboru Geografická kartografie a geoinformatika.
Teacher's information
https://is.muni.cz/auth/elearning/warp?kod=MZ201;predmet=971248;qurl=%2Fel%2F1431%2Fjaro2018%2FMZ201%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1431%2Fjaro2018%2FMZ201%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for 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, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2020, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2020/MZ201