Title: Algebra liniowa 1 Przykłady i zadania. Author: Teresa Jurlewicz, Zbigniew Skoczylas. This PDF document. Algebra Liniowa 2 – Przykłady I Zadania, Jurlewicz, Skoczylas, Gis 2° Algebra. Descripción: modulo de algebra de segundo de secundaria. Wydawnicza GiS, Wrocław [6] T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1. Przykłady i zadania, Oficyna Wydawnicza GiS,. Wrocław [7] M. Gewert.

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The positive evaluation of the test is a prerequisite to get the final grade. Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system:.

To acquaint students with the construction of complex field, various forms of complex number and fundamental theorem of algebra. The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: In special cases, the assessment may be increased by half a degree. Student has a knowledge of mathematics including algebra, analysis, functions of one and multiple variables, analytical geometry. The purpose of this course is to present basic concepts and facts from number theory and algebra of fundamental importance in the further education of information technology – including issues relating to divisibility, modular arithmetic, matrix calculus and analytic geometry.

Limits of sequences and functions. Basic requirements in category skills: Elements of differential calculus.


Algebra and Number Theory – University of Łódź

Systems of linear equations. Field of complex numbers, an algebraic form, a trigonometric form and an exponential form of a complex number, de Moivre’s formula, the nth root of a complex number, fundamental theorem of algebra. Equations of plane and line. Integral calculus and its application in geometry and physics.

Mathematics 1

The preparation for a test: Studying the recommended bibliography: Departament of Discrete Mathematics. It ends with an exam. Matrix representation of linear transformation. Student’s activity during tutorials can raise the grade. In terms of social competences: Derivative of the function. The positive evaluation of the two colloquia is a prerequisite for admission to the test. The grade from the exercises is the arythmetic mean of przhkady grades of module outcomes rounded to the obligatory scale.

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Surfaces and curves of second degree. Basis of linear space. Classes, 15 hours more information Lecture, 15 hours more information.

Rok I – Ebooki z informatyki za darmo

The preparation for a Class: The goal of the lectures and classes is to achieve knowledge in the area of basic mathematics in order to have a better understanding of the theory of other subjects, core subjects as well as specialized subjects in which skoczylaas methods are used. Ability to use basic mathematical tools at a high school level. Faculty of Mathematics and Computer Science.


This course consists of 45 hours of lectures and 45 hours of exercises.

Lecture, 15 hours more information Tutorials, 30 hours more information. Lines, planes, hyperplanes in Rn. Basic requirements in category knowledge: Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study. Linear Algebra and Analytic Geometry. 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. To familiarize students with eliptic curves and the basic notions of the analytic geometry in space.

The contact details of the coordinator: Differential zadannia and their applications. linniowa

The main aim of study: The skoczy,as of the coordinator: Analytical Geometry in plane and space. The analytic geometry in space, vectors in space, scalar product, vector product and mixed product, equations of lines and planes, the relative position of lines and planes.

The name of the module: Systems skocylas linear equations, Cramer’s system, Cramer’s Theorem, solvability of a system of linear equations, Theorem of Kronecker-Capelli, the elimination method of Gauss. The greatest common divisor.