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Course info
KGM / MK1
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Course description
Department/Unit / Abbreviation
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KGM
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MK1
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mathematical Cartography 1
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
3
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
1
[Hours/Week]
Seminar
1
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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2 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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KMA/MK1
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
,
XLS
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Course objectives:
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The aim of this course is a basic introduction to following themes:
Form of the Earth, reference surfaces, coordinate systems, curves on the reference surfaces. Principles of deformations, basic map projections. Polyedric projections. Spherical trigonometry and some calculations on the sphere.
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Requirements on student
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Requirement for students of full-time and combine study programme:
Credit requirements:
- successful processed credit test during the semestr (spherical trigonometry, necessary to obtain 65%)
- successful processed semestral project(submission 7.week)
Exam:
obligatory credit,
written and oral part (discussion about contents of lectures and semestral project).
Content
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Content
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History of cartography, form and size of the Earth, measurements of the Earth's circumference.
Reference surfaces, coordinate systems, length elements of meridian and parallel, geodetic line, orthodrome, rumb line.
Map projections and their classification.
Tissot indicatrix, principal directions. Map projection deformations (linear, angular, areal).
Conic, azimuthal and cylindrical projections and their projection equations derivation.
Křovák projection. Gauss-Krüger projection. Cassini-Soldner projection. Polyedric projections and their used for topographic maps at Austria-Hungary.
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Activities
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Fields of study
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Guarantors and lecturers
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-
Guarantors:
doc.Ing.Mgr. Otakar Čerba, Ph.D. ,
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Lecturer:
doc.Ing.Mgr. Otakar Čerba, Ph.D. (100%),
Ing. Jan Ježek, Ph.D. (100%),
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Tutorial lecturer:
Ing. Radek Fiala, Ph.D. (100%),
Ing. Jan Ježek, Ph.D. (100%),
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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26
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Undergraduate study programme term essay (20-40)
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8
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Preparation for an examination (30-60)
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40
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Preparation for comprehensive test (10-40)
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5
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Total
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79
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
explain the properties and relationships of trigonometric and cyclometric functions |
explain the properties and methods of solving differential equations |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
use the Cartesian, polar and geographical coordinate systems |
process and present the results of their work using the functions of application software |
apply an algorithmic approach to problem solving |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
describe the problems of cartographic distortion |
describe the specifics of spherical trigonometry |
explain the basic theory of cartographic representations |
Skills - skills resulting from the course: |
provádět výpočty na kouli |
use application software for cartographic calculations |
determine the position using commonly used coordinate systems |
Competences - competences resulting from the course: |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Test |
Continuous assessment |
Skills - skills achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Seminar work |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Lecture supplemented with a discussion |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Individual study |
Practicum |
Task-based study method |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
Individual study |
Task-based study method |
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