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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Surfaces and curves of second degree. Assessment methods and assessment criteria:. Matrix representation of linear transformation. Student’s activity during tutorials can raise the grade. The grade from the exercises is skoczlyas arythmetic mean of the grades of module outcomes rounded to the obligatory scale. Differential equations and their applications. Production Engineering and Management. 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.

Basis of linear space.

Basic requirements in category knowledge: Knowledge of mathematics at secondary school level. 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.

Lecture, 15 hours more information Tutorials, 15 hours more information. Classes, 15 hours more information Lecture, 15 hours more information. Departament of Discrete Mathematics. You are not logged in log in. The final grade is the weighted mean of grades of the exercises with weight 2 and the exam with weight 1rounded to the obligatory scale with restriction that student have passed both the exercises and the exam. Integral calculus and its application in geometry and physics.


The name of the coordinator: Systems of linear equations – Cramer’s rule. Studying the recommended bibliography: 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 acquaint students with the construction of complex field, various forms of complex number and fundamental theorem of algebra. Faculty of Mathematics and Computer Science. The preparation for a Class: The name of the module: It ends with an exam.

Some basic information about the module

In terms of skills: To familiarize students with eliptic curves and the basic notions of the analytic geometry in space. This course consists of 45 hours of skoczylaw and 45 hours of exercises. Skip to main menu Skip to submenu Skip to content.

algfbra Linear Algebra and Analytic Geometry. Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study. The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: Derivative of the function. Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system: Elements of differential calculus.


Mathematics 1

Basic knowledge of mathematics at a high zzdania level. The faculty Mathematics and Applied Physics. The name of the module department: Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system:. In special cases, the assessment may be increased by half a degree.

Algebra and Number Theory – University of Łódź

The position in the studies teaching programme: Student is obliged to pass each module defined for the course. Course descriptions are protected by copyright. Lines, planes, hyperplanes in Rn.

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. Systems of linear equations. Lecture, 15 hours more information Tutorials, 30 hours more information. Limits of sequences and functions. 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.

In terms of social competences: