SubjectsSubjects(version: 849)
Course, academic year 2019/2020
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Applied calculus - OKB1310206
Title in English: Aplikace matematické analýzy
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2019
Semester: winter
E-Credits: 3
Examination process: winter s.:
Hours per week, examination: winter s.:0/0 C [hours/semester]
Extent per academic year: 9 [hours]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
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
Annotation -
Last update: RNDr. František Mošna, Dr. (13.09.2017)
Application of differential, integral calculus and especially differential equations.
Aim of the course -
Last update: RNDr. František Mošna, Dr. (13.09.2017)

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. 

Literature -
Last update: RNDr. František Mošna, Dr. (24.05.2018)

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

Teaching methods -
Last update: RNDr. František Mošna, Dr. (13.09.2017)

Lecture and seminar

Syllabus -
Last update: RNDr. František Mošna, Dr. (22.03.2018)

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.

Course completion requirements -
Last update: RNDr. František Mošna, Dr. (22.03.2018)

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).

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