Mathematical Analysis 2
|Hour/sem||Lectures||Sem. Exercises||Lab. exercises||Comp. exercises||Other|
|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|
Introduction to multidimensional analysis.
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.