ECTS
ECTS Course Catalogue

Course details
Course code: IPN10099o11
Semester: 2011/2012 winter
Name: Mathematics
Major: Land Management
Study Type: first cycle
Course type: compulsory
Study Semester: 1
ECTS points: 6
Hours (Lectures / Tutorials / Other): 30 / 30 / 0
Lecturer: dr Mieczysław Chalfen
Language of instruction: Polish


Learning outcomes: The objective of the course is to provide knowledge about simple calculations with matrixes and determinants, solving system of linear equations, fundamental definitions of analytical geometry and differential and integral calculations.

Competences: Student knows fundamental definitions of linear algebra, analytical geometry and differential and integral calculations.

Prerequisites: none

Course content: Matrix calculations. Determinants. Inverse matrix. System of linear equations – formula of Cramer, Kronecker-Capelli. Method of the Gauss elimination. Analytical geometry. Vector calculations. Plane and line equations. Surface and curve of second order. Differential calculations. Limit and continuity of the function. Definition of the derivative. Monotonically. Asymptote. Integral calculations of one-variable function and applications in geometry.

Recommended literature: T. Jurlewicz, Z. Skoczylas, Algebra liniowa I, Politechnika Wrocławska; M. Gewret, Z. Skoczylas, Analiza matematyczna I, II, Politechnika Wrocławska; W. Krysicki, L. Włodarski, Analiza matematyczna w zadaniach, I, II, PWN 1996; G. M. Fichtenholtz, Rachunek różniczkowy i całkowy.

Assessment methods: obligatory passing grades of laboratory course and exam - at least 50% .

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