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Course info
KMA / ZM2
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Course description
Department/Unit / Abbreviation
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KMA
/
ZM2
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mathematics for Economists 2
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
3
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[Hours/Week]
Tutorial
1
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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111 / -
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0 / -
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1 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Summer semester
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Semester taught
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Summer semester
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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KMA/ZM1
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The purpose of this course is to introduce students to the basic concepts and methods of matrix algebra and basic concepts and methods of solving simple differential and difference equations. Emphasis will be placed on the application of this knowledge in technical problems.
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Requirements on student
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Necessary condition BEFORE taking exam:
To achieve at least a half of points in one written test (the date is announced in the first week of the term). Every test contains examples similar to examples solved in previous lectures and tutorials.
EXAM is divided into written and oral part. Student should have a good knowledge and comprehension of course content, and have a good ability to use it in examples.
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Content
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1. Vectors.
2. Determinants.
3. Inverse matrix and applications of matrix calculus.
4. Methods for integration (per partes, basic substitutions). Improper integrals.
5. The ideas of integral calculus in numerical mathematics. Applications in math. statistics and economy.
6. Differencial equations - basic methods.
7. Linear differencial equation of the first order and its applications in economy.
8. Sequences.
9. Difference of a sequence, difference of higher orders. Difference equation.
10. Linear difference equation and its applications in economy.
11. Partial derivation and gradient, extremes of functions of multiple variables.
12. Applications of functions of multiple variables in economy.
13. Resume. Examples. Conclusion.
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Activities
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Fields of study
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Studentům je k dispozici stránka předmětu na Courseware se všemi podstatnými informacemi a materiály.
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Guarantors and lecturers
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Guarantors:
Ing. Jiří Egermaier, Ph.D. ,
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Lecturer:
Ing. Jiří Egermaier, Ph.D. (100%),
RNDr. Zdeněk Kobeda (100%),
Mgr. Zuzana Štauberová (100%),
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Tutorial lecturer:
Ing. Jiří Egermaier, Ph.D. (100%),
RNDr. Zdeněk Kobeda (100%),
Mgr. Zuzana Štauberová (100%),
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Literature
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Basic:
P. Drábek, S. Míka. Matematická analýza I. Plzeň, 2003. ISBN 80-7082-978-8.
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Basic:
P. Drábek, S. Míka. Matematická analýza II. Plzeň, 2010. ISBN 978-80-7082-977-6.
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Basic:
Kaňka M., Henzler J. Matematika pro ekonomy. Ekopress Praha, 1997.
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Basic:
Kaňka, Miloš; Henzler, Jiří. Matematika pro ekonomy 2. 1. vyd. Praha : Ekopress, 1997. ISBN 80-86119-01-7.
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Recommended:
Dolanský, Petr; Tuchanová, Milena. Matematika pro ekonomy 1.,2.,3.část : pro distanční studium. 1.vyd. Plzeň : ZČU, 1995.
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Recommended:
Dolanský, Petr; Tuchanová, Milena. Příklady z matematiky pro ekonomy I : distanční studium. 1. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-184-1.
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Recommended:
Mašek, Josef. Základy matematiky II : cvičení. 1. vyd. Plzeň : ZČU, 1999. ISBN 80-7082-507-3.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Preparation for formative assessments (2-20)
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6
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Preparation for an examination (30-60)
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24
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Contact hours
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39
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Preparation for comprehensive test (10-40)
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9
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Total
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78
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
prepare model tasks of simpler type for application of matrix calculus |
recognize basic continuous and inverse functions of one real variable |
describe the derivative of a function and the integral of a function of one real variable |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
to solve systems of linear equations by suitable application of matrix calculus
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draw graph of algebraic, trigonometric, exponential and logarithmic functions
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differentiate and integrate functions of one real variable
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solve optimization problems for functions of one real variable
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Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
bc. study: recognizes a problem, clarifies its nature, divides it into parts |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
describe the basic properties of the sequence |
to construct a linear difference equation with constant coefficients
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describe graph and contour lines of real functions of two variables
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introduce derivative of partial derivative and gradient
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formulate the problem of finding the extreme of the function of two variables
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Skills - skills resulting from the course: |
find an inverse matrix |
compute the value of the determinant of a matrix |
find an antiderivate and to compute an integral of certain functions of one variable |
use integral calculus in its applications (geometry, math.statistics, ecomomy) |
use a differencial or difference equation for describing a simple economic model, to solve it
and to interpretate results |
determine extremes of a function of multiple variables |
Competences - competences resulting from the course: |
bc. study: they decide independently and responsibly on the basis of a framework assignment in the context only partially known
bc. study: independently gain further professional knowledge, skills and competences based on practical experience and its evaluation, but also by independent study of theoretical knowledge of the field
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Test |
Skills demonstration during practicum |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Skills demonstration during practicum |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Collaborative instruction |
Individual study |
Interactive lecture |
Seminar classes |
Skills - the following training methods are used to achieve the required skills: |
Seminar |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
Interactive lecture |
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