Course: Fundamentals of Mathematics 2

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Course title Fundamentals of Mathematics 2
Course code KMA/ZM2
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study not specified
Semester Winter and summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory, Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Kobeda Zdeněk, RNDr.
  • Blobner Jana, RNDr. Ph.D.
  • Štauberová Zuzana, Mgr.
  • Tomiczková Světlana, RNDr. Ph.D.
Course content
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.

Learning activities and teaching methods
Lecture with practical applications, Collaborative instruction, Seminar classes, Individual study, Practicum
  • Contact hours - 39 hours per semester
  • Preparation for formative assessments (2-20) - 6 hours per semester
  • Preparation for comprehensive test (10-40) - 9 hours per semester
  • Preparation for an examination (30-60) - 24 hours per semester
professional knowledge
Students should have a basic knowledge of matrix algebra, calculus of one real variable and calculus of multiple variable.
learning outcomes
On completion of this course the student will be able: - to find an inverse matrix - to compute the value of the determinant of a matrix - to find an antiderivate and to compute an integral of certain functions of one variable - to use integral calculus in its applications (geometry, math.statistics, ecomomy) - to use a differencial or difference equation for describing a simple economic model, to solve it and to interpretate results - to determine extremes of a function of multiple variables
teaching methods
Collaborative instruction
Individual study
Lecture with practical applications
Seminar classes
assessment methods
Combined exam
Skills demonstration during practicum
Recommended literature
  • Dolanský, Petr; Tuchanová, Milena. Matematika pro ekonomy 1.,2.,3.část : pro distanční studium. 1.vyd. Plzeň : ZČU, 1995.
  • Dolanský, Petr; Tuchanová, Milena. Příklady z matematiky pro ekonomy I : distanční studium. 1. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-184-1.
  • Kaňka M., Henzler J. Matematika pro ekonomy. Ekopress Praha, 1997.
  • Kaňka, Miloš; Henzler, Jiří. Matematika pro ekonomy 2. 1. vyd. Praha : Ekopress, 1997. ISBN 80-86119-01-7.
  • Mašek, Josef. Základy matematiky II : cvičení. 1. vyd. Plzeň : ZČU, 1999. ISBN 80-7082-507-3.

Study plans that include the course