Subjects

Applied mathematics I - NMAF071

Title:	Aplikovaná matematika I
Guaranteed by:	Department of Condensed Matter Physics (32-KFKL)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Semester:	winter
E-Credits:	7
Hours per week, examination:	winter s.:3/3, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Is provided by:	NCHF071

Guarantor:	doc. RNDr. Mirko Rokyta, CSc. Mgr. Tomáš Salač, Ph.D.
In complex pre-requisite:	MC260P01M, MZ370P19
Is complex co-requisite for:	MC260P112, MC260P28

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Annotation -

Last update: T_KFES (16.02.2017)

Calculus of real functions of one real variable. Limits, derivatives, one dimensional integration and applications. Basic ODE.

Course completion requirements -

Last update: Mgr. Barbora Benešová, Ph.D. (23.05.2019)

The credits for the seminar can be obtained by succesfully passing two tests written during the semester. Obtaining the credits for the seminar are a prerequisite for taking the exam.

Literature -

Last update: Mgr. Barbora Benešová, Ph.D. (23.05.2019)

1. J. Kopáček: Matematika (nejen) pro fyziky I.,II. Skripta MFF UK, Matfyzpress.

2. J. Kopáček a kol.: Příklady z matematiky (nejen) pro fyziky I., II ˇ . Skripta MFF UK, Matfyzpress.

3. J. Kvasnica: Matematický aparát fyziky. Academia, Praha, 1989.

4. I. Černý: Úvod do inteligentního kalkulu, Academia, Praha, 2002.

5. B. P. Demidovič: Sbírka úloh a cvičení z matematické analýzy . Fragment, Praha, 2003

Requirements to the exam -

Last update: Mgr. Barbora Benešová, Ph.D. (23.05.2019)

The exam consits of a written and a oral part. If the student succesfully passes the written part, the oral part can be taken. Otherwise, the result of the exam is "failed". The final grade is computed based on points from both, the written and the oral part.

In the written part, one is given 4-5 problems that correspond to the sylabus and also to the problems solved during the exercise classes.

The requirements for the oral exam correspond to the sylabus in the extent that was covered during the lectures.

Syllabus -

Last update: Mgr. Kateřina Mikšová (16.02.2017)

• Numbers and number sets, relations, mappings, sequences

• Real functions, limits and continuity

• Derivatives of functions, differentiation, L’Hospital rule

• Primitives and integration, substitution and per partes

• Applications of differential and integral calculus in 1D, Taylor polynomial, basics on ODE

• Definite integration and applications

Entry requirements -

Last update: Mgr. Barbora Benešová, Ph.D. (23.05.2019)

High-school mathematics.