Mathematical Analysis and Linear Algebra IN081112

Course content:Introduction to modular arithmetics: divisibility relation of integer numbers. Euklides algorithm. Congruence. Complex numbers; the basic definitions, statements and operations. Matrix arithmetic. Calculation of inverse matrix and determinants. Solution of the linear algebraic equations. Issues of the mathematical analysis: number sequences, fundamental methods for calculation of the convergence of number sequences, differential calculation of the one variable function, indefinite integral, integration of some functions, definite integral, the methods of definite integral calculation. A first order ordinary differential equations.

Learning outcomes:Essential skills for matrix operations, determinants calculation and solution of linear algebraic equations. Skills for evaluation of the convergence of number sequences, calculation of function derivatives and integrals. Solution of the ordinary differential equations.