Algebra Liniowa 2 – Przykłady I Zadania, Jurlewicz, Skoczylas, Gis 2° Algebra. Descripción: modulo de algebra de segundo de secundaria. Jan 15, Title: Algebra liniowa 1 Przykłady i zadania. Author: Teresa Jurlewicz, Zbigniew Skoczylas. Przykłady i zadania; [4] Jurlewicz J., Skoczylas T.– Algebra liniowa 1,2. Definicje, twierdzenia, wzory; [5] Mostowski A., Stark M. – Elementy algebry wyższej;.

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The name przykwdy the module: Calculus and linear algebra. The name of the faculty organization unit: The faculty Electrical and Computer Engineering. The name of the module department: Departament of Nonlinear Analysis. Jurlewcz position in the studies teaching programme: The contact details of the coordinator: The main aim of study: To acquaint students with the basics of differential and integral calculus of functions of one variable and with the elements of linear algebra.


Basic requirements in category knowledge: Basic mathematical knowledge of secondary school. Basic requirements in category skills: Knowledge of activities on real numbers and algebraic expressions.

Mathematics 1

Ability to solve equations and inequalities. Basic knowledge of trigonometry.

Functins and their properties. Composition of a function and inverse function.

Karta modułu kształcenia

Exponential, logarithmic and inverse-trygonometrical functions. Differential calculus of one-variable functions.

Derivative of a function at a point. Derivatives of higher order.

Rok I – Ebooki z informatyki za darmo

Monotonicity and extrema of functions. Examination of a function.

Integration by parts and by substitution. Integration lniiowa rational, irrational and trygonometric functions. Definite integral, Newton-Leibniz theorem. Examples of geometric applications of definite integral. Matrices and systems of linear equations. Rank of a matrix, determinant of a square matrix.

Solving of any systems of linear equations using Cramer theorem and Kronecker-Cappeli theorem.

The set of complex numbers. Rectangular and trygonometric form of a complex number.

Operations on complex linniowa. Fundamental theorem of algebra. Studying the recommended bibliography: The preparation for a Class: The preparation for a test: In order to pass tutorial one has to get at least mark 3 from all skills defined in the criteria of passing the module. The final grade is the grade of exam, it can be gone up an extra exam in the case if the grade of classes is higher.