H. Anton, I. Bivens, S. Davis: Calculus, 2009
L.E. Elsgolc: Calculus of Variations, 2007
Terminated in academic year 2023/2024
Selected Parts of Applied Mathematics
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 470-4121/01 |
| Abbreviation | VKzAM |
| Course title | Selected Parts of Applied Mathematics |
| Credits | 4 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | doc. Mgr. Petr Vodstrčil, Ph.D. |
Subject syllabus
Lectures:
- more-variable functions, partial derivatives, Schwarz theorem
- gradient
- relative extremes
- extremum problems with constraints
- absolute extremes
- numerical methods
- linear spaces, norm linear spaces
- function spaces, functionals
- derivative of functional
- extremes of functionals, Euler-Lagrange equation
- applications
Exercises:
- more-variable functions, partial derivatives, Schwarz theorem
- gradient
- relative extremes
- extremum problems with constraints
- absolute extremes
- numerical methods
- linear spaces, norm linear spaces
- function spaces, functionals
- derivative of functional
- extremes of functionals, Euler-Lagrange equation
- applications
- more-variable functions, partial derivatives, Schwarz theorem
- gradient
- relative extremes
- extremum problems with constraints
- absolute extremes
- numerical methods
- linear spaces, norm linear spaces
- function spaces, functionals
- derivative of functional
- extremes of functionals, Euler-Lagrange equation
- applications
Exercises:
- more-variable functions, partial derivatives, Schwarz theorem
- gradient
- relative extremes
- extremum problems with constraints
- absolute extremes
- numerical methods
- linear spaces, norm linear spaces
- function spaces, functionals
- derivative of functional
- extremes of functionals, Euler-Lagrange equation
- applications
Literature
Advised literature
L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.