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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Analytical Geometry in plane and space. Exponential, logarithmic and inverse-trygonometrical functions. Describe the transformation of the matrix of a linear operator under a change of basis.

Observe that conic sections are curves obtained by intersecting a cone jrlewicz a plane. Give examples of inner products and orthonormal basis. Differential calculus of one-variable functions. Convert between polar and Cartesian coordinates. Explain that similarity of matrices is an equivalence relation. Production Engineering and Management.

Two one-hour exams at class times and a final exam. Given the matrix of an operator find eigenvalues and eigenvectors. Operations on complex numbers. Be able to reduce a quadratic form into zadaniw form by Lagrange algorithm.

### Mathematics 1 – Courses – USOSweb – Uniwersytet Przyrodniczy we Wrocławiu

In special cases, the assessment may be increased by half a degree. The faculty Electrical and Computer Engineering. Integration by parts and by substitution. Student has a knowledge of mathematics including algebra, analysis, functions of one and multiple variables, analytical geometry.

Derive and formulate in terms of skczylas cross product Cramer?

Explain the relation between the oriented volume and the generalized cross product of a system of n-1 vectors. State the polar decomposition theorem for nonsingular operators. After completing this course, student should be able to: You are not logged in log in.

Composition of a function and inverse function. State the definitions of conic sections as loci of points. Give example of the canonical Jordan matrix of a linear operator.

Matrices and systems of linear equations. Derivative of a function at a point. State the definitions and the geometric meaning of the dot and cross product direction perpendicular to two vectors, oriented area of a parallelogram. Calculus and linear algebra. School of Exact Sciences.

Rectangular and trygonometric form of a complex number. Integral calculus and its application in geometry and physics. In terms of skills: Give examples of problems of 2-D Euclidean geometry illustrating basic notions and ideas of analytical geometry. The position in the studies linioowa programme: Knowledge of mathematics at secondary school level.

The contact details of the coordinator: Differential equations and their applications.

## Some basic information about the module

Learning outcomes In terms of knowledge: Find the parallel and perpendicular components of a vector relative przjkady another vector. Mathematics – part-time first-cycle studies Mathematics – full-time first-cycle studies.

Derivatives of higher order. Lines, planes, hyperplanes in Rn.

## Mathematics 1

The set of complex numbers. Lecture, 15 hours more information Tutorials, algbra hours more information. In terms of social competences: The positive evaluation of the test is a prerequisite to get przy,ady final grade.

Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours – can be found in course structure diagrams of apropriate study programmes. Surfaces and curves of second degree. You are not logged in log in. Definite integral, Newton-Leibniz theorem. Systems of linear equations – Cramer’s rule.

Basic knowledge of trigonometry. Use the Gram matrix to compute the length of line segment, the area of a parallelogram and the volume of a parallelepiped.