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 name of the module: Linear Algebra and Analytic Geometry. The name of the faculty organization unit: The faculty Mathematics and Applied Physics.

The name algera the module department: Departament of Discrete Mathematics. The position in the studies teaching programme: The name of the coordinator: The contact details of the coordinator: The main aim of study: To acquaint students with the construction of complex field, various forms of complex number and fundamental theorem of algebra. To teach students the ability to use matrix algebra and to solve systems of linear equations.

To familiarize students with eliptic curves and the basic notions of the analytic geometry in space. The general information about the module: This course consists of 45 hours of lectures and skoczylass hours of exercises.

### Algebra and Number Theory – University of Łódź

It ends with an exam. Basic requirements in category knowledge: Basic knowledge of mathematics at a high school level. Basic requirements in category skills: Ability to use basic mathematical tools at a high 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. 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.

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.

Studying the recommended bibliography: The preparation for a Class: The preparation for a test: Student is obliged to pass each module defined for algenra course. The grade from the exercises is the arythmetic mean of the grades of module outcomes rounded to the obligatory scale.

Student’s activity during tutorials can raise the grade. 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.