Course: Calculus II for Combined Studies

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Course title Calculus II for Combined Studies
Course code UMB/565K
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Frequency of the course In each academic year, in the summer semester.
Semester Summer
Number of ECTS credits 8
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
  • Eisner Jan, Mgr. Dr.
Course content
Content: 1. Integral (primitive function, Newton integral, methods of integration, application of integrals- area between two curves, volumes of solids of revolution 2. Functions of multiple variables (continuity, limits) 3. Derivatives of functions in Rn (partial derivatives, total differential) 4. Local and global extremal points of functions in Rn 5. Complex numbers (definitions, basic calculus, Moivre theorem).

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Demonstration
  • Class attendance - 12 hours per semester
  • Preparation for classes - 28 hours per semester
  • Preparation for exam - 42 hours per semester
Learning outcomes
Integral calculus in one dimension, Differenciation in Rn, complex numbers.
We learn as well a differential calculus of functions of several variables including to find local and global extremal points of scalar functions in R2. We introduce complex numbers and learn how to operate with them. We learn how to find roots of any quadratic polynom with real coefficients and to solve binomial equations.
It is assumed that student knows differential calculus in one real variable, e.g. from UMB/010K.

Assessment methods and criteria
Written examination

Active attendance of practicals (excused absence permitted). To pass through the final writting exam. It is necessary to reach at least 50% points.
Recommended literature
  • E. Calda: Matematika pro gymnázia, komplexní čísla, Prometheus 2008.
  • V. Jarník: Diferenciální počet I, II, Integrální počet I, Academia Praha 1984.
  • Kuben. Diferenciální počet funkcí více proměnných.
  • Kuben. Integrální počet funkcí jedné proměnné.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Measuring and Computer Technology (1) Category: Electrical engineering, telecommunication and IT 1 Recommended year of study:1, Recommended semester: Summer