Winter Semester 2009/10
Winter Semester 2010/11
Winter Semester 2011/12
Mathematics I METS01001A
Course content:
-Elements of logic
-Matrices and determinants. Operations on matrices, Inverse matrix, determinants and their properties
-Solving equation systems using determinants, Cramer's method
-Analytical geometry on a plane. Operations ov vectors, scalar product, vector product, mixed product
-Straight line and plane in 3dimension space
-Complex numbers: algebraic and geometric form
-Involution and roots extraction for C
-Courses and their limits
-Function of one variable.
-Function Derivative
-De l'Hospital theorem
-Course of changeability of function
-Unmarked integral
-Marked integrals and their applications
Learning outcomes: ability of calculating limits, derivatives, integrals; ability of calculating in set of complex mumbers
(in Polish) Rodzaj przedmiotu
Course coordinators
Bibliography
a) basic references:
1.Jurlewicz T., Skoczylas Z., Algebra liniowa 1
2.Gewert M., Skoczylas Z., Analiza matematyczna 1
b) supplementary references:
1. Żakowski W., Matematyka, cz. I
2. Krysicki, Włodarski, Analiza matematyczna w zadaniach cz.I