Course detail
Selected parts from mathematics
FEKT-BVPAAcad. year: 2012/2013
Impulse funcdtions, delta function-
Derivative and integral of the delata function
Weighted functions and their applications for solving of differential equations of the n-th order
Systems of linear differential equations
Analytic solution methods
Vector analysis, multiple integrals
Applications of multiple integrals
Improper multiple integral
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
and applications in electrical engineering.
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2) Derivative and integral of the delata function
3) Unit function and its relation with the delta function, weighted function
4) Solving of differential equations of the n-th order using weighted functions
5) Systems of differential equations
6) Eliminative solution method
7) Method of eigenvalues and eigenvectors
8) Method of variation of constants and method of undetermined coefficients
9) Characteristics of scalar and vector fields
10) Multiple integral
11) Transformation of multiple integrals
12) Applications of multiple integrals
13 ) Improper multiple integral
Work placements
Aims
surface integrals, solving of systems of differential equations including of investigations
of a stability of solutions of differential equations and applications of selected functions
with solving of dynamical systems.
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
GARNER, L.E.: Calculus and Analytical Geometry. Brigham Young University, Dellen publishing Company, San Francisco,1988, ISBN 0-02-340590-2.
KRUPKOVÁ, V.: Diferenciální a integrální počet funkce více proměnných,skripta VUT Brno, VUTIUM 1999, 123s.
Classification of course in study plans
- Programme EECC Bc. Bachelor's
branch B-MET , 2 year of study, summer semester, elective interdisciplinary
branch B-TLI , 2 year of study, summer semester, elective interdisciplinary
branch B-AMT , 2 year of study, summer semester, elective specialised
branch B-SEE , 2 year of study, summer semester, elective interdisciplinary
branch B-EST , 2 year of study, summer semester, elective interdisciplinary - Programme EEKR-CZV lifelong learning
branch EE-FLE , 1 year of study, summer semester, elective interdisciplinary
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2.Multiple integrals.
3.Transformation of multiple integrals.
4.Improper multiple integrals.
5.Lines in Rn, undirected line integral.
6.Directed line integral, indenpedence on an
integrable way.
7.Surfaces in R3, undirected surface integral.
8.Orientation of a surface, directed surface
integral.
9.Integral theorems.
10.Systems of differential equations, elementary
methods of solving.
11.General methods of solving of differential
equations.
12.Solving of systems of differential equations
with selected rightside,stability of solutions.
13.Criterions of stability of solutions.