6043 Theory of Errors and Adjustments I

Introduction to adjustments Principle of the Method of Least Squares Sources and types of errors, Accuracy, Precision One dimensional variable Distribution function, Density function Measures of precision, Confidence intervals Histogram of Frequency Multidimensional variables Multidimensional quantities - variability - covariance - correlation, Vx Random vector, Probability Characteristic parameters, Characteristic tables Law of propagation of variances (linear - non-linear functions) Applications of law in special cases Method of indirect observations (linear - non-linear functions) Introduction, Estimation of the vector of best values, Estimates of variances Method of conventional observations (linear - non-linear functions) Introduction, Estimation of the vector of best values of measurements and residuals Estimates of variances Applications of the method of least squares for linear functions Linear regression Solutions of one-dimensional geodetic networks Applications of the least squares method for non-linear functions Planar transformations Solutions of 2D and 3D geodetic networks Adjustments of conic sections and surfaces in 3D point clouds Convex sets and convex functions. Extremes Lagrange s Theorem, An Introduction to Algorithmic Techniques Linear optimization Introduction to linear programming, Characteristics Constrained optimization. Dynamic Programming Characteristics of dynamic programming
ECTS : 5
Language : el
Learning Outcomes : Problem analysis and solution methodology. Execution of complex calculations. Instructions for creating algorithms. Search, analysis, and synthesis of data and information, using the necessary technologies. Adaptation to new situations. Decision making. Autonomous work in a team environment. Work in an international environment. Work in an interdisciplinary environment. Production of new research ideas. Respect for diversity and multiculturalism. Respect for the natural environment. Demonstration of social, professional, and ethical responsibility and gender sensitivity. Promotion of free, creative, and inductive thinking.