Lecturer(s)


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.

Prerequisites

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.
