Subjects

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Applied calculus - OKB1310206

Title:	Aplikace matematické analýzy
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2022
Semester:	winter
E-Credits:	3
Examination process:	winter s.:
Hours per week, examination:	winter s.:0/0, C [HS]
Extent per academic year:	9 [hours]
Capacity:	unknown / unknown (unknown)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	combined
Note:	course can be enrolled in outside the study plan enabled for web enrollment priority enrollment if the course is part of the study plan

Guarantor:	prof. RNDr. Ladislav Kvasz, DSc., Dr.
Class:	Matematika 1. cyklus - povinné
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Pre-requisite :	OKB2310004

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Application of differential, integral calculus and especially differential equations.

Last update: Mošna František, doc. RNDr., Ph.D. (13.09.2017)

Aim of the course -

Primary purpose of the course is to make students acquainted with basic application of differential, integral calculus and differential equations. Secondary aim is to prove, repetite and fix knowledges of mathematical analysis.

Last update: Mošna František, doc. RNDr., Ph.D. (13.09.2017)

Course completion requirements -

To get the credit you need succesful passing the final test consisting of examples on mathematical analysis application for object motion (for the test there will be two terms during the examination period for possible correction).

Last update: Mošna František, doc. RNDr., Ph.D. (22.03.2018)

Literature -

J. Barták: Užití diferenciálních rovnic, Praha 1984

J. Kalas, Z. Pospíšil: Spojité modely v biologii, MU Brno 2001

J.D. Murray: Mathematical Biology, Springer 1989

Last update: Mošna František, doc. RNDr., Ph.D. (24.05.2018)

Teaching methods -

Lecture and seminar

Last update: Mošna František, doc. RNDr., Ph.D. (13.09.2017)

Syllabus -

Application of differential calculus: mass point motion, tangent, curvature.

Application of integral calculus: area of a plane, longitude of a curve, volume, probability.

Application of differential equations: models on epidemics, populations, solutions, ecological models etc.

Last update: Mošna František, doc. RNDr., Ph.D. (22.03.2018)