SubjectsSubjects(version: 849)
Course, academic year 2019/2020
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Applied Calculus - OB2310102
Title in English: Využití diferenciálního a integrálního počtu
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2012
Semester: summer
E-Credits: 2
Examination process: summer s.:
Hours per week, examination: summer s.:0/2 MC [hours/week]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
State of the course: not taught
Language: Czech
Teaching methods: full-time
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: doc. RNDr. Jiří Jarník, CSc.
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 : OB2310005
Interchangeability : OB2310267
Annotation -
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Solving applied problems with use of Calculus.Extending the knowledge of the theory of differential equations.
Aim of the course -
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)

To use the knowledge from theoretical courses of Calculus in geometrical, physical and other applications

Literature
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)

Marsden, J., Weinstein, A.: Calculus. Springer Verlag, New York, Berlin, Heidelberg, Tokyo 1980

Barnett, R.A., Ziegler, M.R.: Applied Calculus, Dellen Publ. House, San Francisco 1988

Teaching methods -
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)

Seminar and lecture

Requirements to the exam -
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)

Seminar:

  • regular attendance
  • correct elaboration of homeworks
  • passing the current tests

Exam:

  • mastering of definitions, theorems and proofs, ability to illustrate them by examples and counterexamples
  • mastering of methods of calculation of primitive functions and integrals and ability to apply them to solving of problems
Syllabus -
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)

Problems with maximaand minima

length of a curve given by cartesian or parametric equation

system of two linear differential equations

differential equations in economics, biology a.o.

 
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