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T. Jurlewicz, Z. Skoczylas – Algebra Liniowa 2 – Definicje, Twierdzenia, – Download as PDF File .pdf), Text File .txt) or read online. Jurlewicz. skoczylas – Algebra Liniowa 2 – Przykłady I Zadania tyczna Wydawnicza GiS, Wrocław [6] T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1. Przykłady i zadania, Oficyna Wydawnicza GiS,. Wrocław [7] M. Gewert. Name in Polish: Elementy algebry liniowej. Main field of study (if Level and form of studies: 1 th level, full time . [2] T. Jurlewicz, Z. Skoczylas, Algebra i geometria analityczna. Przykłady i zadania, Oficyna Wydawnicza GiS, Wrocław

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Knowledge of activities on real numbers and algebraic expressions. In order to pass tutorial one has to get at least mark 3 from all skills defined in the criteria of passing the module. Describe the transformation of the matrix of a quadratic przykad under a change of basis. Analytical Geometry in plane and space.

Composition of a function and inverse function. Be able to reduce an equation of second-degree curve in R2 into canonical form. Assessment methods and assessment criteria:.

The name of the module: Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study.


Rok I – Ebooki z informatyki za darmo

The preparation for a Class: Equations of plane and line. Learning outcomes In terms of knowledge: You are not logged in log in. Linear algebra Objectives of the course: Basic requirements in category knowledge: Differential calculus of one-variable functions. Use eigenvalues and eigenvectors to perform diagonalization of a real symmetric matrix.

School of Exact Sciences. Departament of Nonlinear Analysis. Use the Gram matrix to compute the length of line segment, the area of a parallelogram and the volume of a parallelepiped. Observe that conic sections are curves obtained by intersecting a cone with a plane. Lecture, 15 hours more information Tutorials, 30 hours more information. Derivatives of higher order. The final grade is the grade of exam, it can be gone up an extra exam in the case if the grade of classes is higher.

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.

The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: This course is related to the following study programmes: Rectangular and trygonometric form of a complex number. Knowledge of mathematics at secondary school level. Exponential, logarithmic and inverse-trygonometrical functions.


Some basic information about the module

Given parametric or normal equations establish the relative position between lines, planes and points. Describe line and canonical conics equations in Cartesian and polar coordinates. Related to study programmes: Give examples of problems of 2-D Euclidean geometry illustrating basic notions and ideas of analytical geometry. Course descriptions are protected by copyright.

Studying the recommended bibliography: State the definitions of conic sections as loci of points. Observe that almost all notions of Euclidean affine geometry can be generalized to higher dimensions in a natural way.

Katalog przedmiotów

The set of complex numbers. The preparation for a test: Matrix representation of linear transformation. To acquaint students with the basics of differential and integral calculus of functions of one variable and with the elements of linear algebra.

Examination of a function. The position in the studies teaching programme: