Title:

Mathematical Analysis 2

Code:M2I
Ac.Year:ukončen 2002/2003
Term:Summer
Study plans:
ProgramBranchYearDuty
EI-BC-3VTB1st Stage/1st YearCompulsory
EI-MSC-5VTI1st Stage/1st YearCompulsory
Language:Czech
Credits:8
Completion:examination (written)
Type of
instruction:
Hour/semLecturesSem. ExercisesLab. exercisesComp. exercisesOther
Hours:3952000
 ExaminationTestsExercisesLaboratoriesOther
Points:00000
Guarantee:Krupková Vlasta, RNDr., CSc., DMATH
Lecturer:Krupková Vlasta, RNDr., CSc., DMATH
Faculty:Faculty of Electrical Engineering and Communication BUT
Department:Department of Mathematics FEEC BUT
 
Learning objectives:
Introduction to multidimensional analysis.
Description:
Differential calculus of functions of several variables: some topological notions, function, limit and continuity, partial derivatives and differentials, directional derivatives, gradient, Taylor formula, implicit functions, extrema. Integral calculus: double and triple integral, change of variables in double and triple integrals, line integrals, surface integrals, integral theorems. Differential Equations: notion of differential equation, basic properties of solutions, solving of some classes of equations of the first order. Linear differential equations of higher order.