MZ201 Mathematics for Cartography

Faculty of Science
Spring 2017
Extent and Intensity
0/3/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: graded credit.
Teacher(s)
doc. RNDr. Lenka Přibylová, Ph.D. (lecturer)
Guaranteed by
RNDr. Vladimír Herber, 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
MZ201/01: Mon 20. 2. to Mon 22. 5. Tue 9:00–11:50 M4,01024
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 derrivatives, differential.
  • 8. Applications of derrivative.
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
Two written tests during semester.
Test usualy consists of five tasks, at least 50% of successfully solved is needed to pass.
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 2018, Spring 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Spring 2017, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2017/MZ201