151-0343/01 – Computer Aided Mathematics (PPM)

Gurantor departmentDepartment of Mathematical Methods in EconomicsCredits3
Subject guarantordoc. Ing. Václav Friedrich, Ph.D.Subject version guarantordoc. Ing. Václav Friedrich, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2010/2011Year of cancellation2012/2013
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRI02 doc. Ing. Václav Friedrich, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2

Subject aims expressed by acquired skills and competences

• You become acquainted with the category of CAS programmes and learn how to use the computer as a smart ”calculator“ with new effective tools for solving certain types of tasks. • You will learn to solve tasks selected from various areas of economics (but not economics) using the CAS Maxima. • You will get an overview of new and relatively simple methods of solving problems, still resolved only with difficulties, or not at all. • Mathematics thanks to CAS computer programmes will become your ally in solving problems.

Teaching methods

Lectures
Tutorials

Summary

Studying of many economic subjects is closely linked with the learning of mathematics. The aim of studying mathematics at the Faculty of Economics is primarily to equip the student by sufficient set of mathematical methods suitable for the quantitative expression of the relationship and the development of economic variables and capturing their interdependencies. The subject "Computer Aided Mathematics" is to integrate the mathematical and economic knowledge of students in one unit, using mathematical computer programs (CASs). Using these programs, students can focus more on understanding the problem being solved and the possibility of its application in practice. The subject is educated in the form of practical exercises in computer lab. CAS program Mathematica is used for education, this program is also used at many universities abroad. This subject is particularly designed for the students who are considering the use of mathematical methods in their bachelor and master works.

Compulsory literature:

FRIEDRICH, Václav. Mathematica pro nematematiky. Ostrava: VŠB - Technická univerzita, 2012.

Recommended literature:

DOBRAKOVOVÁ, Jana, Monika KOVÁČOVÁ a Viera ZÁHONOVÁ. MATHEMATICA pre stredoškolských učiteľov: študijné materiály. 1. vyd. Bratislava: Vydavatelstvo STU v Bratislave, 2008. ISBN 978-80-89313-19-8 DOBRAKOVOVÁ, Jana, Monika KOVÁČOVÁ a Viera ZÁHONOVÁ. MATHEMATICA pre stredoškolských učiteľov: tréningové materiály. 1. vyd. Bratislava: Vydavatelstvo STU v Bratislave, 2008. ISBN 978-80-89313-20-4.

Way of continuous check of knowledge in the course of semester

Assessment for obtaining the credit: All tasks are solved in the Moodle CMS environment. Tasks are timed, monitored by Calendar tool. a) The introductory workshop (15 points). b) Three continuous practical tasks (3 x 20 points). c) The final theoretical test (10 points). To obtain the credit you must obtain a minimum of 45 points. Continuous tasks are to be met for at least 10 points each.

E-learning

The subject education is supported by e-learning course in Moodle CMS.

Další požadavky na studenta

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Prerequisities

Subject codeAbbreviationTitleRequirement
151-0300 Mat A Mathematics A Compulsory
151-0301 Mat B Mathematics B Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

The tutorials take place in a computer lab with installed software Maxima. 1. CAS programs and how to use them 2. Algebraic expressions and their treatment 3. Linear algebra, matrix operations 4. Solving equations and their systems 5. Functions of one variable and their graphs 6. Derivatives of functions of one variable 7. Applications of differential calculus 8. Functions of several variables, partial derivatives 9. Analysis of functions of several variables 10. Integrals 11. Applications of integral calculus 12. Differential and difference equations All the themes will be practiced on selected practical examples and tasks.

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation Credit 85  45
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2011/2012 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava Choice-compulsory study plan
2011/2012 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí Choice-compulsory study plan
2010/2011 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (00) Applied Informatics P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner