# 638-0804/01 – Mathematical Tools of Informatics (MPI)

 Gurantor department Department of Automation and Computing in Industry Credits 7 Subject guarantor doc. Ing. Jiří David, Ph.D. Subject version guarantor doc. Ing. Jiří David, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester summer Study language Czech Year of introduction 2004/2005 Year of cancellation 2020/2021 Intended for the faculties FMT Intended for study types Follow-up Master
Instruction secured by
DAV47 doc. Ing. Jiří David, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 4+3
Part-time Credit and Examination 22+0

### Subject aims expressed by acquired skills and competences

Student will be able to determine a mine of errors and errors type at the numerical computing. Student will be able to principles the modern optimization methods and determine a procedure solution with utilization the Genetic Algorithms and the Evolutional Algorithms. Student will get an overview of the basic principles of the datamining metods and of the basic acquirements at solution numerical probléme with utilization the Matlab and with utilization the Matlab Toolbox Genetic Algorithm.

Lectures
Tutorials

### Summary

Subjekt put mind to the questions solution numerical problems. Students do one's homework the to determine a mine of errors and errors type at the numerical computing, to principles the modern optimization methods and determine a procedure solution with utilization the Genetic Algorithms and the Evolutional Algorithms and get an overview of the basic principles of the datamining metods and of the basic acquirements at solution numerical problems with utilization the Matlab and with utilization the Matlab Toolbox Genetic Algorithm.

### Compulsory literature:

KIM K., MAN F., TANG K. S., KWONG S.: Genetic Algorithms.: Concepts and Designs. Springer, 1999. ISBN 1852330724. BACK T.: Evolutionary Algorithms in Theory and Practice : Evolution Strategies, Evolutionary Programming, Genetic Algorithms. Oxford University Press, 1995. ISBN 0195356705. WALTER J. GRANTHAM, THOMAS L. VINCENT Modern control systems analysis and design. New York : John Wiley & Sons, Inc., 1993. ISBN 0-471-81193-9

### Recommended literature:

YAO X.: Evolutionary Computation: Theory and Applications. World Scientific, 1999. ISBN 9810223064. WITTEN I. H., FRANK E., HALL M. A.: Data Mining: Practical Machine Learning Tools and Techniques: Practical Machine Learning Tools and Techniques. Elsevier, 2011. ISBN 0080890369. TAN P. N.: Introduction To Data Mining. Pearson Education, 2007. ISBN 8131714721.

### Other requirements

General tutorial to problems.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Errors, sources and types errors. Rounding error. Errors of method. 2. Incomplete numbers and number representation in computer. Correctitude, conditionality and stability numerical problems. 3. Optimalization problems. Classification of optimization methods. 4. Principles of basic of optimization methods. Evolutional methods. 5. Principle of genetic algorithm. 6. Fitness value. Code of strings. 7. Termination of genetic algorithm. Stagnation of genetic algorithm. 8. Selection of strings. Principles of particular method of selection. 9. Crossing. Mutation. Types of mutation 10. Variants of genetic algoritm. 11. Principle of evolutional strategy. Principle of differential evolution. Principle of SOMA. Principle of UIS. 12. Data warehouse. 13. Data mining. Data mining problems. 14. Principle of methodology CRISP- DM. 15. Data miningu methods . Principle of decision - making trees.

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2020/2021 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 35 (35) 0
Project Project 20  0
Examination Examination 65 (65) 0
Written examination Written examination 25  0
Oral Oral examination 40  0
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2013/2014 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2012/2013 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2011/2012 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2010/2011 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2009/2010 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2008/2009 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2007/2008 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2006/2007 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2005/2006 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan
2004/2005 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies K Czech Ostrava 1 Compulsory study plan
2004/2005 (N3922) Economics and Management of Industrial Systems (3902T042) Automation and Computing in Industrial Technologies P Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner