Course: Mathematics II

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Course title Mathematics II
Course code KGI/3MAT2
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
Course content
1. Real functions of single variable. Basic knowledge about functions. Elementary functions. 2. Number sequences. Arithmetic and geometric sequences. Limits of sequences. 3. Limits of functions. Definition and basic calculations. 4. Continuity of functions. Definition and basic properties. 5. Derivative of functions, definition and basic properties. Derivative of elementary functions. 6. Applications of derivatives of functions. Course of examination of functions. Tangential and normal line to graph of a function. 7. Indefinite integrals, its definition and its properties. 8. Methods of integration: direct integration, method of integration by parts and by substitution. 9. Method of decomposition to partial fractions. Integration of rational functions. 10. Special substitutions leading to integrals of rational functions. 11. Definite integrals. Definition, basic properties, calculation procedures. 12. Applications of definite integrals. Plane areas, volumes of solids of revolution. 13. Differential equations.

Learning activities and teaching methods
unspecified
Recommended literature
  • Budinský, B., Charvát, J. Matematika I, (část 1). Praha 6.
  • Hlaváček. Sbírka řešených příkladů z matematiky.
  • Charvát J., Hála M., Šibrava Z. Příklady k matematice I. Praha 6.
  • Jirásek, F., Kriegelstein, E., Tichý, Z. Sbírka řešených příkladů z matematiky I. Praha, 1979.
  • Rektorys K. Přehled užité matematiky. SNTL, Praha, 1981.
  • Vlasov A. K. Učebnice vyšší matematiky I, 2.část,. SNTL, Praha, 1958.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Environment Study plan (Version): Environmental Protection (C_3) Category: Ecology and environmental protection 1 Recommended year of study:1, Recommended semester: Summer