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Course info
KGM / FGE2
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Course description
Department/Unit / Abbreviation
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KGM
/
FGE2
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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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Physical Geodesy 2
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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,
5
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
2
[Hours/Week]
Tutorial
2
[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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|
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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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0 / -
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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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Summer semester
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Semester taught
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Summer 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 |
0
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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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None
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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
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XLS
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Course objectives:
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The main goal of this subject is to acquire knowledge in the field of theoretical foundations of geodesy. These are mathematical and physical methods and procedures used in geodesy to describe and represent the gravitational field of planetary bodies. Graduates of the course acquired the necessary knowledge needed for modelling the gravitational field from the measurements of the first, second and third spatial derivatives of the potential by using the mathematical apparatus of integral transformations.
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Requirements on student
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Participants are expected to attend actively all lectures and assignments. Reports with results must be submitted on time, eventual delays are taken into the account during classification. Participants are required to write a short mid-term test to check on their progress. A compulsory written exam concludes the course. Students with all reports submitted on time and without significant deficiencies, with the successfully written mid-term test and final exam, are admitted to a final oral exam during the examining period.
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Content
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1. Exterior spherical horizontal boundary value problem.
2. Exterior spherical gradiometric boundary value problem.
3. Gravitational tensor of the third order - differential operators and basic properties.
4. Exterior spherical gravitational curvature boundary value problem.
5. Complete Meissl diagram of spherical integral transformations.
6. Effect of the distant zones for integral transformations.
7. Formulation of practical integral estimators.
8. Error propagation in practical integral estimates - analytical formulas.
9. Direct modelling of the gravitational potential and its first-, second-, and third-order derivatives in the spatial domain.
10. Spherical harmonic expansions of the gravitational potential and its first-, second-, and third-order derivatives.
11. Analytical continuation of spherical harmonic series.
12. Spectral combination of gravitational field quantities.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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-
Recommended:
Šprlák, Michal; Hamáčková, Eliška; Novák, Pavel. Alternative validation method of satellite gradiometric data by integral transform of satellite altimetry data. Journal of Geodesy ISSN 0949-7714 Vol. 89, no. 8 (. 2015.
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Recommended:
Novák, Pavel; Pitoňák, Martin; Šprlák, Michal; Tenzer, Robert. Higher-order gravitational potential gradients for geoscientific applications. Earth-Science Reviews ISSN 0012-8252 Vol. 198 (201. 2019.
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Recommended:
Šprlák, Michal; Novák, Pavel. Integral formulas for computing a third-order gravitational tensor from volumetric mass density, disturbing gravitational potential, gravity anomaly and gravity disturbance. Journal of Geodesy ISSN 0949-7714 Vol. 89, no. 2 (. 2015.
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Recommended:
Novák, Pavel; Šprlák, Michal; Tenzer, Robert; Pitoňák, Martin. Integral formulas for transformation of potential field parameters in geosciences. Earth-Science Reviews ISSN 0012-8252 Vol. 164 (201. 2017.
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Recommended:
Burša, M. - Kostelecký, J. Kosmická geodézie a kosmická dynamika. MO AČR, 1994.
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Recommended:
Arfken,G. Mathematical Metods for Physicists. Oxford, 1970.
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Recommended:
Hamáčková, Eliška; Šprlák, Michal; Pitoňák, Martin; Novák, Pavel. Non-singular expressions for the spherical harmonic synthesis of gravitational curvatures in a local north-oriented reference frame. Computers and Geosciences ISSN 0098-3004 Vol. 88. 2016.
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Recommended:
Hofmann-Wellenhof, Bernhard; Moritz, Helmut. Physical geodesy. 1st ed. Wien : SpringerWienNewYork, 2005. ISBN 3-211-23584-1.
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Recommended:
Jekeli, Christopher. Spectral methods in geodesy and geophysics. 2017. ISBN 978-1-4822-4525-7.
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Recommended:
Šprlák, Michal; Novák, Pavel. Spherical gravitational curvature boundary-value problem. Journal of Geodesy ISSN 0949-7714 Vol. 90, no. 8 (. 2016.
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Recommended:
Šprlák, Michal; Novák, Pavel,; Pitoňák, Martin. Spherical harmonic analysis of gravitational curvatures and its implications for future satellite missions. Surveys in Geophysics ISSN 0169-3298 Vol. 37, no. 2016.
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Recommended:
Burša, Milan; Pěč, Karel. Tíhové pole a dynamika Země. 1. vyd. Praha : Academia, 1988.
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On-line library catalogues
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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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Practical training (number of hours)
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26
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Contact hours
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26
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Preparation for comprehensive test (10-40)
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10
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Preparation for laboratory testing; outcome analysis (1-8)
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20
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Preparation for an examination (30-60)
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50
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Total
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132
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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: |
to explain fundamentals of land surveying |
to explain fundamentals of the adjustment calculus |
to explain fundamentals of algebra |
to explain fundamentals of the mathematical analysis |
to explain fundamental of the tensor calculus |
to explain fundamentals of the potential theory |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
programming |
to make a plot or a map |
to interpret results and their uncertainties |
symbolic derivations of equations and algebraic manipulations |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
to resolve quantities of the gravitational field and to understand their properties |
to resolve types of exterior boundary value problems of the potential theory |
to resolve types of integral transformations for gravitational field modelling |
Skills - skills resulting from the course: |
to formulate and solve exterior boundary value problems of the potential theory |
to practically compute parameters of the gravitational field |
Competences - competences resulting from the course: |
N/A |
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: |
Oral exam |
Written exam |
Test |
Combined exam |
Skills - skills achieved by taking this course are verified by the following means: |
Oral exam |
Written exam |
Combined exam |
Test |
Competences - competence achieved by taking this course are verified by the following means: |
Oral exam |
Written exam |
Combined exam |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture |
Self-study of literature |
Practicum |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Self-study of literature |
Practicum |
Task-based study method |
Competences - the following training methods are used to achieve the required competences: |
Lecture |
Self-study of literature |
Practicum |
Task-based study method |
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