Observe algebrq conic sections are curves obtained by algebra liniowa skoczylas a cone with a plane. Find the parallel and perpendicular components of a vector relative to another vector. Pdf or read online. Observe that conic sections are curves obtained by intersecting a cone with a plane.

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Zulkilrajas Composition of a function and inverse zadnia. Faculty of Mathematics and Natural Sciences. Describe the transformation of the matrix of a linear operator under a change of basis.

Definite integral, Newton-Leibniz theorem. Basic mathematical knowledge of secondary school. Give examples of inner products and orthonormal basis. Basic requirements in category skills: Monotonicity and extrema of functions. You are not logged in log in. In terms of social competences: Surfaces and curves of second degree.

State the definition of orthogonal trans- formation and describe properties of orthogonal matrices. In terms of skills: Describe the canonical equations of quadrics in Rn. Solving of any systems of linear equations using Cramer theorem and Kronecker-Cappeli theorem.

Be able to reduce an equation of second-degree curve in R2 into canonical form. Derive and jutlewicz in terms of the cross product Cramer? Rectangular and trygonometric form of a complex number. Examination of a function. Operations on complex numbers. Give example of the canonical form of an antisymmetric matrix. Some basic information about the module Find the parallel and perpendicular components of a vector relative to another vector.

Analytical Geometry in plane and space. Give example of the canonical Jordan matrix of a linear operator. The student can find information in skocsylas, databases and other data sources; is able to integrate the obtained information, interpret it as well as conclude, formulate and justify opinions.

Explain the possibility of the linear decomposition of a vector relative to two vectors by using a generalized inverse matrix. Equations of plane and line. In order to pass tutorial one has to get at least mark 3 from all skills defined in the criteria of passing the module. Convert between polar and Cartesian coordinates. This przkyady is related to the following study programmes: Linear algebra Objectives of the course: Describe line and canonical conics equations in Cartesian and polar coordinates.

Student has a knowledge of mathematics including algebra, analysis, functions of one and multiple variables, analytical geometry. Observe that almost all notions of Euclidean affine geometry can be generalized to higher dimensions in a natural way. School of Exact Sciences. Give examples of problems of 2-D Euclidean geometry illustrating basic notions and ideas of analytical geometry. Describe the types of orthogonal transformations on R3 rotations, reflections and their properties fixed points, eigenvalues and eigenvectors.

Differential calculus of one-variable functions. 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. Most Related.

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Gak Integral calculus and its application in geometry and physics. The greatest common divisor. Equations of plane and line. Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system: In terms of skills: Differential equations and their applications. Skip to main menu Skip to submenu Skip to content. Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study. Mathematics 1 Elements of differential calculus.

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