151-0343/01 – Computer Aided Mathematics (PPM)
Gurantor department | Department of Mathematical Methods in Economics | Credits | 3 |
Subject guarantor | doc. Ing. Václav Friedrich, Ph.D. | Subject version guarantor | doc. Ing. Václav Friedrich, Ph.D. |
Study level | undergraduate or graduate | Requirement | Choice-compulsory |
Year | 2 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2010/2011 | Year of cancellation | 2012/2013 |
Intended for the faculties | EKF | Intended for study types | Bachelor |
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:
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.
Other requirements
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Prerequisities
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.