Course objectives:
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The main task of this course is to educate its participants in the area of theoretical foundations of the geodetic science. These include mathematical and physical methods and principles used in geodesy for describing time varying geometric and physical properties of the Earth, namely its shape and size, gravity field and motion in space, plate dynamics and deformations, definition and realization of coordinate systems. Participants of the course understand that global geometric and physical properties of the Earth are important for surveyors and related professionals interested in projects of local or regional scales.
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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.
Pre-requisities for this course are as follows: KMA/GEN2, KMA/VP1, KMA/VP2.
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Content
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Brief history and structure of geodesy, its links to other scientific disciplines. International Association of Geodesy and its structure. Mathematics in geodesy. Geodetic coordinate systems and their realization. Methods of geodetic positioning. Methods and instrumentation of space and satellite geodesy. Earth's gravity field and rotation. Newton's gravitational laws. Intensity and potential of the gravitational field. Equipotential surfaces, geoid, quasigeoid and telluroid. Physical heights. Gravity effects on geodetic observations. Temporal variations of the gravitational field. Normal gravity field. Anomalous and disturbing gravity parameters. Determination of gravity field parameters from gravity observations. Poisson's and Laplace's differential equations. Green's equations and integrals. Boundary and initial-value problems of the potential theory and their solution. Harmonic functions and their representation. Ground and airborne gravimetry. Relative and absolute gravity observations. Gravity networks, maps and databases. Forward modeling. Terrain reductions and theory of isostasy. Spectral methods in gravity field description. Satellite methods of gravity field mapping.
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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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Basic:
P. J. G. Teunissen. Adjustment Theory: an introduction. VSSD, 2000. ISBN 978-9040719745.
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Basic:
P. J. G. Teunissen. Network Quality Control. VSSD, 2009. ISBN 978-9071301988.
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Basic:
K-R. Koch. Parameter estimation and hypothesis testing in linear models. Springer, Berlin, 1999. ISBN 3-540-65257-4.
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Basic:
P. J. G. Teunissen. Testing Theory: an introduction. VSSD, 2009. ISBN 978-9040719745.
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Basic:
M. Hampacher, M. Štroner. Zpracování a analýza měření v inženýrské geodázii. ČVUT, Praha, 2011. ISBN 978-80-01-04900-6.
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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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Preparation for formative assessments (2-20)
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10
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Contact hours
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26
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Preparation for laboratory testing; outcome analysis (1-8)
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8
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Preparation for comprehensive test (10-40)
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20
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Preparation for an examination (30-60)
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40
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Practical training (number of hours)
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26
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Total
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130
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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 the mathematical analysis |
to explain fundamentals of algebra |
to explain fundamentals of goniometry |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
to derive an uncertainty of observable |
programming at the beginner level |
to make a plot or a map |
to interpret results and their uncertainties |
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 among data processing methods and apply them |
critically assess the results of processing |
Skills - skills resulting from the course: |
to practically process observables in geodesy |
to practically realise the variance-covariance law |
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: |
Oral exam |
Written exam |
Combined exam |
Test |
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 |
Practicum |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Task-based study method |
Competences - the following training methods are used to achieve the required competences: |
Lecture |
Practicum |
Task-based study method |
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