Winter Semester 2006/07
Winter Semester 2007/08
Winter Semester 2008/09
Winter Semester 2009/10
Winter Semester 2010/11
Winter Semester 2011/12
Winter Semester 2023/24
Mathematics I B01050
Course content:
LINEAR ALGEBRA WITH ELEMENTS OF ANALYTIC GEOMETRY
Complex numbers.
Matrix calculus.
Determinant.
Singular matrix.
Inverse matrix.
Solving of linear systems of equations.
Eigenvalues and eigenvectors of a symmetric matrix.
Elements of analytic geometry.
MATHEMATICAL ANALYSIS
Sequences and series of numbers.
The analysis of functions of one variable: limit, continuity, differentiability, extrema, variability of functions.
Indefinite integrals, integration by part and by substitution.
Learning outcomes:
- the ability of solving problems formulated in the form of algebraic description;
- the knowledge of operations on complex numbers, vectors and matrices
- the knowle;dge of differential and integral calculus of functions of one variable.
Course coordinators
Bibliography
a) basic references:
T. Jurlewicz, Z. Skoczylas, Linear algebra 1, Linear algebra 2 (in Polish).
M. Gewert, Z. Skoczylas, Mathematical analysis 1, Mathematical analysis 2 (in Polish).
M. Gewert, Z. Skoczylas, Ordinary differential equations (in Polish).
b) supplementary references:
E. Otto (ed.), Mathematics for faculties of civil and mechanical engineering, part I-II (in Polish).
W. Krysicki, L. Włodarski, Mathematical analysis in exercises, part I (in Polish).
D. Mozyrska, E. Pawłuszewicz, R. Stasiewicz, Ordinary differential equations (in Polish).