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Main menu for Browse IS/STAG
Course info
KMA / ZM1
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Course description
Department/Unit / Abbreviation
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KMA
/
ZM1
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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 1
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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,
4
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
2
[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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|
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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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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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510 / -
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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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Winter semester
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Semester taught
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Winter 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 |
Yes
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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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N/A
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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 briefly acquaint students with the basics of differential and integral calculus of one or more variables. Emphasis will be placed on economic interpretations and applications, and on using these skills in solving basic economic problems.
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Requirements on student
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Course credit conditions
A student must gain at least 50% of points (in total) from credit tests.
Exam Evaluation
The exam has a written and an oral part. To pass the written part of the exam, a student has to obtain at least 50% of points. The following oral part of the exam is focused on basic knowledge. To pass the exam, a student has to pass both parts of the exam.
Upon repeated registration of the course, the credit obtained in the previous study of this course is not recognised (see art. 25, par. 3 in Study and Examination Regulations of the University of West Bohemia).
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Content
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1. Mathematical reasoning - open statements and quantifiers, sets and elementary operations, subsets of real numbers. Vectors and its interpretation and using.
2. Matrix calculus and applications of matrix calculus in economics.
3. Systems of linear equations and methods of solution.
4. Real functions of one real variable - properties of functions.
5. Real functions of one real variable - operations with functions, composition of functions, overview of elementary functions.
6. Limits and continuity of functions - limit definition and definition of one-sided limit.
7. Limits and continuity of functions - algebra of limits. Continuity of a function, points of discontinuity.
8. Derivative of a function - definitions and their geometrical and economical meaning. Differentiation from first principles, product rule and chain rule. Application of differential calculus in economics.
9. Applications of differential calculus - tangent, Taylor polynomial, limit computation, solving optimization problems.
10. Applications of differential calculus - sketching graphs.
11. Integral calculus - indefinite integral and basic calculation methods.
12. Integral calculus - definite integral and applications of integral calculus in economics.
13. Final summary.
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Activities
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Fields of study
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Guarantors and lecturers
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Guarantors:
Ing. Patrice Marek, Ph.D. (100%),
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Lecturer:
RNDr. Zdeněk Kobeda (100%),
Ing. Patrice Marek, Ph.D. (100%),
Mgr. Zuzana Štauberová (100%),
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Tutorial lecturer:
Ing. Jiří Egermaier, Ph.D. (100%),
RNDr. Zdeněk Kobeda (100%),
Ing. Hana Kopincová, Ph.D. (100%),
Ing. Patrice Marek, Ph.D. (100%),
Mgr. Zuzana Štauberová (100%),
RNDr. Světlana Tomiczková, Ph.D. (100%),
Ing. Tomáš Ťoupal, Ph.D. (100%),
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Literature
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Basic:
Bauer, Luboš; Lipovská, Hana; Mikulík, Miloslav,; Mikulík, Vít. Matematika v ekonomii a ekonomice. První vydání. 2015. ISBN 978-80-247-4419-3.
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Extending:
Tesková, Libuše. Lineární algebra. 2. vyd. Plzeň : Západočeská univerzita, 2005. ISBN 80-7043-413-9.
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Extending:
Drábek, Pavel; Míka, Stanislav. Matematická analýza I.. 5. vyd. Plzeň : Západočeská univerzita, 2003. ISBN 80-7082-978-8.
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Extending:
Matematická analýza 1
(Tomiczek Petr)
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Recommended:
Dolanský, Petr. Matematika pro distanční studium. 1. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-643-6.
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Recommended:
Dolanský, Petr; Tuchanová, Milena. Matematika pro ekonomy II. 1. část, distanční studium. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-656-8.
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Recommended:
Dolanský, Petr; Tuchanová, Milena. Matematika pro ekonomy 1 : pro distanční studium. Plzeň : ZČU, 1995. ISBN 80-7082-183-3.
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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:
Dolanský, P., Tuchanová, M. Příklady z matematiky pro ekonomy II.
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Recommended:
Tesková, Libuše. Sbírka příkladů z lineární algebry. 4. vyd. Plzeň : Západočeská univerzita, 1999. ISBN 80-7082-552-9.
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Recommended:
Čížek, Jiří; Kubr, Milan; Míková, Marta. Sbírka příkladů z matematické analýzy I. 1. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-216-3.
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Recommended:
Jirásek, František; Kriegelstein, Eduard; Tichý, Zdeněk. Sbírka řešených příkladů z matematiky : logika a množiny, lineární a vektorová algebra, analytická geometrie, posloupnosti a řady, diferenciální a integrální počet funkcí jedné proměnné. 2. nezměn. vyd. Praha : SNTL, 1981.
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Recommended:
Mašek, Josef. Základy matematiky I : cvičení. 1. vyd. Plzeň : Západočeská univerzita, 1999. ISBN 80-7082-567-7.
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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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20
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Preparation for comprehensive test (10-40)
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32
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Contact hours
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52
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Total
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104
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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: |
know mathematical concepts and procedures in the range of secondary school curricula |
to think logically and not to have negative prejudices about mathematics |
recognise basic types of functions, their most important properties and can draw graphs of these functions (linear, quadratic, exponential, logarithmic, linear-to-linear) |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
can solve linear and quadratic equations and inequalities |
has experience in calculating algebraic expressions |
has no negative relation to abstract thinking |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
mathematical terms and procedures from the areas of mathematics listed in the syllabus of the subject |
selected possibilities of using mathematical methods and approaches in modeling economic phenomena |
Skills - skills resulting from the course: |
can correctly apply formal and content aspect in mathematical expression, both written and oral |
is able to apply the principles of differential and integral calculus to simple model problems |
is able to apply the principles of matrix calculus to simple model problems |
Competences - competences resulting from the course: |
N/A |
N/A |
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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 |
Skills demonstration during practicum |
Skills - skills achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Practicum |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Practicum |
Self-study of literature |
Competences - the following training methods are used to achieve the required competences: |
Interactive lecture |
Practicum |
Self-study of literature |
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