Course: Applied mathematics I

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Course title Applied mathematics I
Course code KFY/AMAB1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 1
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Tesař Jiří, doc. PaedDr. Ph.D.
  • Blažek Josef, doc. RNDr. CSc.
Course content
1. Systems of linear equations and their application in physics 2. Vectors and their application in physics 3. Differential calculus of one variable function - elementary function 4. Limits of functions 5. Function derivation 6. Function derivation and its application in physics 7. Indefinite integral - introducing, calculations 8. Definite integral - introducing, calculations 9. Definite integral and its application in physics 10. Differential calculus of two and more variables functions - elementary phenomena 11. Non-carthesian coordinate systems 12. Integral calculus of functions of two and more variables - elementary phenomena 13. Double and triple integral and its application in physics 14. Differential equations and their application in physics

Learning activities and teaching methods
Monologic (reading, lecture, briefing)
Learning outcomes
Elementary mathematical phenomena, operations and their applications in the field of technical physics - vector algebra, one argument mathematical functions - differential and integral calculus, two and more argument functions, differential equations.
Application of mathematic system in quantitative description of physical processes.
Prerequisites
Basic knowledge of mathematic system on secondary school level.

Assessment methods and criteria
Combined exam

An active knowledge of the subject matter as presented by the teaching plan of the course.
Recommended literature
  • Grega - Kluvanec - Rajčan:. Matematika pre fyzikov. Bratislava, SPN, 1974.
  • Kopáček:. Matematika pro fyziky I. - IV.. Praha, SPN, 1979.
  • Tesař, J.:. Sbírka úloh z matematiky pro fyziky. České Budějovice, PF JU, 1995.
  • Ungerman a kol.:. Matematika pro posluchače fyziky na PF. Praha, SPN, 1973.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Fundamentals of manufacturing engineering for education (1) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter