Course objectives:
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The main goal of the course is to educate experts that can apply properly methods and procedures of adjustment calculus and statistics in the field of surveying and geodesy.
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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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Basic definitions and terminology. Classification of mathematical models. Deterministic and stochastic parts of the model. General methods for solution of mathematical models. Linearization of non-linear mathematical models. Metric tensors, distances and lengths of vectors. Geometric meaning of the least-squares adjustment. Theory of probability. Random event, variable and samples. Statistical hypothesis and its testing. Errors of hypothesis tests. Tests of observations for consistency and gross errors. Testing observations in the context of mathematical models. Tests of solved parameters. Design problems. Models with the a priori knowledge about unknown parameters. Models with conditions. Models with singularities.
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Activities
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Fields of study
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Guarantors and lecturers
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Guarantors:
Prof. Ing. Pavel Novák, PhD (100%),
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Lecturer:
Prof. Ing. Pavel Novák, PhD (100%),
Doc. Ing. Martin Pitoňák, PhD. (100%),
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Tutorial lecturer:
Doc. Ing. Martin Pitoňák, PhD. (100%),
Doc. Ing. Michal Šprlák, PhD. (100%),
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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 comprehensive test (10-40)
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20
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Preparation for formative assessments (2-20)
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10
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Practical training (number of hours)
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13
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Contact hours
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26
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Preparation for an examination (30-60)
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40
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Total
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109
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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 realise the variance-covariance law |
to practically process observables in geodesy |
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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