ECTS - PWSZ im. Witelona w Legnicy

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The Witelon University of Applied Sciences in Legnica - Field: Management and production engineering ECTS credits 5 1. Course title Statistics for Engineers 2. Course contents Lecture Introduction to the probability theory: the concept of the probability space according to Kolmogorov, examples of the probability spaces (discrete space, conditional space, product space, geometrical space), the concept of the mass function (discrete mf, totally non discrete mf and continuous mf), random variable and cumulative distribution function, theorem about the distribution, parameters of the distribution, the most important distributions (binary, binomial, Poisson, uniform, exponential, normal, chi-square, t-Student, Snedecor), limits theorem: Weak and Strong of Large Number, the Central Limit Theorem. The elements of the statistics: general population and character of this population, data set, the concept of statistics and the survey of the most important statistics (the mean, variance, S-dash statistic), distribution of random vector, correlation and regression. Introduction to analysis of statistic data: histogram , the concept of the estimator and interval estimation, the methods of the results verification statistical data, introduction to the hypothesis testing theory (non parametric and parametric). Classes Resolving the problems from the lists. 3. Prerequisites Credits for the other courses of the mathematics. 4. Learning outcomes The student understands the basic concepts and methods of probability theory and mathematical statistics. Can describe in terms of probability and mathematical statistics random phenomenon. He knows how to use a probability distribution and its parameters. He knows the method of approximation of the theoretical probability of an empirical probability. Understands the importance of statistical material for the purpose of describing the phenomena of mass for the selected characteristics of the population. He knows the method for determining the distribution of such characteristics. It can verify the correctness of such a specific distribution. 5. Recommended reading 1. R. Rębowski, Podstawy metod probabilistycznych, Seria Wydawnicza PWSZ w Legnicy, Legnica2006. 2. J. Płaskonka, R. Rębowski, Zbiór zadań z metod probabilistycznych, Seria Wydawnicza PWSZ w Legnicy, 2009. 3. W. Kordecki, Rachunek prawdopodobieństwa I statystyka matematyczna, Teoria, przykłady, zadania. Oficyna Wydawnicza Gis, Wrocław 2000. 4. W. Klonecki, Statystyka dla inżynierów, Warszawa, PWN, 1999. 6. Type of course Obligatory 7. Teaching team Department of Basic Sciences 8. Course structure Form Number of hours Semester year Lecture 15/12 III 2 Classes Laboratory Project Seminar Other 15/12 III 2 Total student’s workload 150 9. Assessment methods: classes and written test are the conditions of ranking the lecture 10. Language of instruction: Polish ECTS Course Catalogue 2010/2011 1152
The Witelon University of Applied Sciences in Legnica - Field: Management and production engineering ECTS credits 2 1. Course title Operational research 2. Course contents: Lecture Introduction to programming: the notion of a set of feasible solutions, boundary conditions and restrictions, the objective function. Examples of such issues. A mathematical model for programming and linear programming. Graphic method and the simplex method for constructing an optimal decision. Selected problems of linear programming: the choice of the production mix, compound the problem, the choice of production technology, dual programming elements. Transport problem (open and closed issue of transportation) and how to solve them. Problems of resource allocation as an example the problem of allocation of tasks (answering the problem, the problem of delegation), the definition of the problem, mathematical model and solution methods (Konig method). Classes The aim of the classes is to learn the ways of solving practical decisional problems using operational research. Interpretation and discussion of results. 3. Prerequisites Credit in „Mathematics” 4. Learning outcomes The student knows the basis of theoretical and practical aspects of optimal decision-making processes. Can modeled one of the four topics of linear programming and programming. He knows how to interpret the model of the occurring phenomena of an economic nature. Can geometrical method and the method of dual programming to find the optimal decision. Understands the importance of the issues of allocation. Able to define and then solve the problem of allocation of tasks on the example the problem of secretaries or delegations. He knows and is able to use Koenig's algorithm for finding the optimum solution. 5. Recommended reading 1. Wagner H.M., Badania operacyjne, PWE, Warszawa, 1980. 2. Goddard L.S., Metody matematyczne w badaniach operacyjnych, PWN, Warszawa 1965 3. Kukuła K.(red), Badania operacyjne w przykładach i zadaniach, PWN, Warszawa, 2001 4. Trzaskalik T., Badania operacyjne z komputerem, Seria: Metody badań operacyjnych, Łódź, 1997 6. Type of course Obligatory 7. Teaching team Department of Basic Sciences 8. Course structure Form Number of hours Semester year Lecture 15/12 IV 2 Classes Laboratory Project Seminar Other 15/12 IV 2 Total student’s workload 60 9. Assessment methods: Written credit 10. Language of instruction: Polish ECTS Course Catalogue 2010/2011 1153
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ECTS - PWSZ im. Witelona w Legnicy

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