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;.

Author: Daizragore Milrajas
Country: Botswana
Language: English (Spanish)
Genre: Career
Published (Last): 3 October 2008
Pages: 393
PDF File Size: 8.64 Mb
ePub File Size: 12.85 Mb
ISBN: 488-4-82926-455-4
Downloads: 73301
Price: Free* [*Free Regsitration Required]
Uploader: Gor

Solving of any systems of linear equations using Cramer theorem and Kronecker-Cappeli theorem. Lecture, 15 hours more information Tutorials, 15 hours more information. Definite integral, Newton-Leibniz theorem. Surfaces and curves of second degree. Integration by parts and zdaania substitution. Geometric interpretation of solution sets of homogeneous and non-homogeneous systems of linear equations as linear and affine subspaces in Rn.

Algebraic operations of addition, subtraction, multiplication and division, exponents, roots, logarithms. Lecture, discussion, working in groups, heuristic talk, directed zadaniia, self-study.

Learning outcomes In terms of knowledge: The relatively prime numbers. The well-ordering principle of the natural numbers. Fundamental theorem of algebra. In special cases, ,iniowa assessment may be increased by half a degree.

Description of the course: Derivative of the function. Skip to main menu Skip to submenu Skip to content. Rational numbers as the equivalence classes of the ordered pairs of integers. Coordinates of a vector relative to a basismatrix representation of a vector.


Calculus and linear algebra. Course descriptions are protected by copyright. Usual, vector and matrix forms of systems of linear equations. Matrices and systems of linear equations.

Mathematics 1

Knowledge of activities on real numbers and algebraic expressions. Many examples are provided to illustrate the boundary between arithmetic and algebra.

Square matrices and determinants. The name of the faculty organization unit: The final skczylas is the grade of exam, it can be gone up an extra exam in the case if the grade of classes is higher. Algebraic operations on matrices.

Skip to main menu Skip to submenu Skip to content. Matrix representation of linear transformation.

Integer solutions for linear equations. The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: You are not logged in log in. Properties and succession of operations.

Linear Algebra and Analytic Geometry II – USOSweb – Politechnika Rzeszowska

Classes, 15 hours more information Lecture, 15 hours more information. The vector and matrix forms of systems of linear equations, elementary matrix operations and determinants are significant when solving systems of linear equations. The faculty Electrical and Computer Engineering. In terms of skills: Objectives of the course: Production Engineering and Management.


Negative numbers, fractions and proportions are useful in solving problems. Monotonicity and extrema of functions. Ability to solve equations and inequalities.

Arithmetics and Algebra with didactic elements – UKSW USOSweb

Coordinates of a vector relative to a basismatrix representation of a vector, Composition of linear transformations and matrix multiplication. The student can find information in literature, databases and other data sources; is able to integrate the obtained information, interpret it as well as conclude, formulate and justify opinions.

Examination of a function.

The greatest common factor GCF m,n. School of Exact Sciences. Linear combination of vectors and matrix multiplication. Existence algeebra number of solutions: Integers as the equivalence classes of the ordered pairs of natural numbers.

Structure of linear spaces. Sets, Cartesian products, equivalence relations and the algebraic structure of an ordered field are useful to introduce number systems sequentially. Integral calculus and its application in geometry and physics. You are not logged in praykady in.