714-0584/01 – Mathematics on computers and programming basics (MPaZP)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorprof. RNDr. Radek Kučera, Ph.D.Subject version guarantorRNDr. Radomír Paláček, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2000/2001Year of cancellation
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
TUZ006 RNDr. Michaela Bobková, Ph.D.
PAL39 RNDr. Radomír Paláček, Ph.D.
SKA141 Mgr. Pavel Skalný, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 1+3

Subject aims expressed by acquired skills and competences

Students will be familiarized with the use of Matlab and with the basics of algorithmization to be able to use these tools for solving technical problems. The results will be presented on the own Internet pages. The course extends basic courses of mathematics and develops user skills in computer work.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

The course deals with the solution of numeric problems, symbolic problems, and with the algorithmization and creating of computer programms. Students are familiarized with the standard computer functions for solving simple problems of the linear algebra and the mathematical analysis. For these purposes, Matlab and its symbolic toolbox (Symbolic Math Toolbox) are used. Also the teaching of programming is led in the Matlab environment. For the presentation of results the students create their own website.

Compulsory literature:

2. Sigmon, K., Davis, T., A.: MATLAB Primer. Chapman and Hall/CRC, 2001.

Recommended literature:

1. Whyte, A.: Basics HTML. Hardcover, Harcourt Education, ISBN 1904467083.

Way of continuous check of knowledge in the course of semester

Tests and credits ================= Exercises --------- Conditions for obtaining credit points (CP): - participation in exercises, 20% can be to apologize - completion of programs, 5-20 CP - completion of written tests, 5-25 CP Exam ---- - written exam 5-25 CP, successful completion at least 10 CP - semestral project 5-30 CP, successful completion at least 15 CP The exam requirements are analogous to the program of the lectures.

E-learning

Další požadavky na studenta

Lessons are parallel with Math I.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Outline of lectures =================== 1)The basic use of computers and computer networks: access to documents on the Internet, the basics of HTML. 2)Introduction to GeoGebra, variables, numerical operation, evaluating of expressions, math function. Logical and set operations. Root finding, numerical derivation. 3)Symbolic computations, simplification of expressions, evalution of limits, symbolic differentiation and integration, investigation of functions, finding of extremes, graphical representation of results. 4)Introduction to Matlab, interface, operations, variables, numerical and logical operators, evaluating of expressions, data structures (binary, text), data transport and formatting. 5)2D Graphics, plotting of graphs of functions and curves, standard functions for interpolation and approximation. 3D Graphics, graphs of functions of two variables, surfaces, processing and transmission of images (graphical formats). 6)Numeric computations: linear algebra problems (linear systems, inverse matrices, determinants, rank), accuracy (computer epsilon). 7)Programming, script and function M-files, input and output of data, conditionally performed command 'if' and 'switch', loops 'while' and 'for'. Solving selected problems, iterative calculations, numerical integration, sorting. Outline of exercises ==================== 1. The basic use of computers and computer networks: access to documents on the Internet, the basics of HTML. 2. Introduction to GeoGebra, interface, basic geometry. 3. Variables, numerical operation, evaluating of expressions, math function. 4. Root finding, numerical derivation. 5. Logical and set operations. Export of graphics. 6. Evalution of limits, symbolic differentiation and integration, investigation of functions, finding of extremes, graphical representation of results. 7. Extremal problems. 8. Introduction to Matlab, interface, operations, variables, numerical and logical operators, evaluating of expressions, data structures (binary, text), data transport and formatting. 9. Tabelace a kreslení grafů funkcí a křivek, standardní funkce pro interpolaci a aproximaci. Grafy funkcí dvou proměnných, plochy. 10. Skripty a programové funkce, jejich volání, vstup a výstup dat. 11. Numeric computations: linear algebra problems (linear systems, inverse matrices, determinants, rank), accuracy (computer epsilon). 12. Programming, script and function M-files, input and output of data, conditionally performed command 'if' and 'switch', loops 'while' and 'for'. 13.Solving selected problems, iterative calculations, numerical integration, sorting. 14. Tests and credits.

Conditions for subject completion

Full-time form (validity from: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 45  25
        Examination Examination 55 (55) 25
                 Semestral project 30  15
                 Written test 25  10
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

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2017/2018 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Most 1 Compulsory study plan
2017/2018 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Most 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Most 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Most 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Most 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2111) Mining (2101R008) Mining Engineering P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (6209R013) Information and System Management P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (6209R013) Information and System Management P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2111) Mining (2101R008) Mining Engineering P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2111) Mining (2101R008) Mining Engineering P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (6209R013) Information and System Management P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - HGF - P 2014/2015 Full-time Czech Optional HGF - Faculty of Mining and Geology stu. block
Subject block without study plan - HGF - P 2013/2014 Full-time Czech Optional HGF - Faculty of Mining and Geology stu. block