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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Systems of linear equations, Cramer’s system, Cramer’s Theorem, solvability of a system of linear equations, Theorem of Kronecker-Capelli, the elimination method of Gauss. Lecture, 15 hours more information Tutorials, 15 hours more information. The name of the module: To teach students the ability to use matrix algebra and to solve systems of linear equations.

Student’s activity during tutorials can raise the grade.

The name of the coordinator: In terms of social competences: The preparation for a Class: 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.

The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: Elements of differential calculus. Limits of sequences and functions. 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 mathematical methods are used.


The grade from the exercises is the arythmetic mean of the grades of module outcomes rounded to the obligatory scale. Basic requirements in category knowledge: 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 przgkady a complex number, fundamental theorem of algebra.

Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system: In terms of skills: Studying the recommended bibliography: 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:.

Algebra and Number Theory – University of Łódź

Derivative of the function. The name of the faculty organization unit: Analytical Geometry in plane and space.

You are not logged in log in. Integral calculus and its application in geometry and physics.


Some basic information about the module

The greatest common divisor. Course descriptions are protected by copyright. Learning outcomes In terms of knowledge: Differential equations and their applications. Lecture, discussion, algebrra in groups, heuristic talk, directed reasoning, self-study.

Matrix representation of linear transformation. Student has a knowledge algbera mathematics including algebra, analysis, functions of one and multiple variables, analytical geometry. In special cases, the assessment may be increased by half a degree. Departament of Discrete Mathematics.

Mathematics 1

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.

Lecture, 15 hours more information Tutorials, 30 hours more information. Basis of linear space. Surfaces algfbra curves of second degree. Classes, 15 hours more information Lecture, 15 hours more information. Definicje, twierdzenia, wzory; [5] Mostowski A.

It ends with an exam.

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