Course: Applied Mathematics

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Course title Applied Mathematics
Course code KAP/AMA
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Cvrček Milan, PhDr. Ph.D.
  • Brzezina Miroslav, doc. RNDr. CSc.
Course content
Differential calculus of functions of several variables, directional derivatives, partial derivatives and gradient. Extreme values of function. Taylor polynomials. Double integrals and their evaluation. Line integral and its applications.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing), Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments)
  • Preparation for exam - 60 hours per semester
  • Home preparation for classes - 50 hours per semester
  • Preparation for credit - 25 hours per semester
  • Class attendance - 84 hours per semester
Learning outcomes
Differential calculus of functions of several variables, directional derivatives, partial derivatives and gradient. Extreme values of function. Taylor polynomials. Double integrals and their evaluation. Line integral and its applications.
Applieing of mathematics to solve of practical problems.
Prerequisites
Basis facts of higher mathematics.

Assessment methods and criteria
Written exam

Credit: tests. Exam: Written.
Recommended literature
  • Brzezina M., Veselý J. Obyčejné (lineární) diferenciální rovnice a jejich systémy. Liberec, 2012. ISBN 978-80-7372-909-7.
  • Dontová, E. Matematika III. ČVUT, Praha, 1996.
  • Mezník, I., Karásek, J., Miklíček, J. Matematika I. pro strojní fakulty.. Praha, SNTL, 1992.
  • Nekvinda, M. Matematika. Část 1.. Liberec : Technická univerzita v Liberci, 2001. ISBN 80-7083-447-1.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Engineering (ANG) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Nonwoven and Nanomaterials (ANG) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Nonwoven and Nanomaterials (2012) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Engineering (2012) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Engineering (2018) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Technology (2012) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Technology (2012) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Technology (2012) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Engineering (2012) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Clothing and Textile Engineering (2018) Category: Textile production and clothing industry 1 Recommended year of study:1, Recommended semester: Winter