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Course: Mathematics II

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Course title Mathematics II
Course code UAFM/C606
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study 1
Semester Summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Horák Milan, Mgr.
  • Kostra Juraj, doc. RNDr. CSc.
  • Pavlišta Martin, Ing. Ph.D.
  • Widenská Eva, Ing. Ph.D.
Course content
1. Differential of function and higher order differentials. 2. Polynomial approximation of functions. Taylor polynomial. Maclaurin polynomial. 3. Functions of several variables. Graph functions of several variables. Limits and continuity. 4. Partial derivatives. The geometric meaning. Partial derivatives of higher orders. 5. The total differential, tangent plane. 6. Local extremes. (Global extremes. Constrained extrems - Information). 7. Integral Calculus. Special substitution. 8. Improper integrals. 9. Double integral. 10. Applications. 11. Linear differential equations with constant coefficients. 12. Another differential equations of lower orders.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The course provides students with basics of multivariable calculus with respect to their study field.
Students wil get acquainted with some parts of multivariable calculus as well as with some applications in physics or chemistry.
Prerequisites
Not specified.

Assessment methods and criteria
Written examination, Student performance assessment

Examination in a written form. It consists of written exam in 6th week and of written exam during the examination period.
Recommended literature
  • Došlá Z. Matematika pro chemiky 1. díl. Brno, 2010.
  • Došlá Z. Matematika pro chemiky 2.díl. Brno, 2010.
  • Kolda S., Krajňáková D., Kimla A. Matematika pro chemiky II. Praha, 1990.
  • Kolda S., Krajňáková D., Kimla A. Matematika pro chemiky I.. Praha, 1989.
  • Kolda S., Machačová L. Matematika II.. Pardubice, 2007.
  • Kolda S., Machačová L., Prachař O. Cvičebnice z matematiky II.. Pardubice, 2007.
  • Krajňáková D., Míčka J., Machačová L. Zbierka úloh z matematiky. Bratislava, 1988.
  • Machačová L. Matematika. Pardubice, 2004.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Chemical Technology Study plan (Version): Chemistry and Technical Chemistry (2015) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Chemistry and Technical Chemistry (2013) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2014) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2013) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2016) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2016) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2015) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Chemistry and Technical Chemistry (2014) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2014) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2013) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2015) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Chemical Technology Study plan (Version): Chemistry and Technical Chemistry (2016) Category: Engineering chemistry and chemistry of silicates 2 Recommended year of study:2, Recommended semester: Summer
University of Pardubice, date of update: 30.05.2024 23:50.