ECTS Course Catalogue
Course details
Course code:
IPN10099o11Semester:
2011/2012 winterName:
MathematicsMajor:
Land ManagementStudy Type:
first cycleCourse type:
compulsoryStudy Semester:
1ECTS points:
6Hours (Lectures / Tutorials / Other):
30 / 30 / 0Lecturer:
dr Mieczysław ChalfenLanguage of instruction:
PolishLearning 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:
noneCourse 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% .Comment: