Winter Semester 2011/12
Mathematics 1 ENS1A100001
Course content:
Complex numbers.
Matrices and determinants.
Inverse matrix. Rank of the matrix.
Systems of linear equations.
Vectors. Scalar product, vector product, scalar triple product.
Equations of the plane and stright line in space.
Functions of one variable and their properties.
Sequences, The limit of a sequence.
The limit of a function. Continiuity of a function.
Derivatives of functions and their properties.
Ekstrema of functions.
Convex functions.
Indefinite integrals. Methods of intergration.
Intergation of rational, irrational and trigonometrical functions
The definite integral. Applications otf the definite integrals.
Learning outcomes:Competence in mathematical description of physical phenomena and technical problems, making use of mathematical methods in engineering activity and abstract formulate of technical problems.
(in Polish) Rodzaj przedmiotu
Course coordinators
Bibliography
a) basic references:
1.Gewert M., Skoczylas Z., Analiza matematyczna 1
2.Jurlewicz T., Skoczylas Z., Algebra liniowa 1
3.Żakowski W., , Matematyka, cz. I
b) supplementary references:
1.Fichtenholz G. M., Rachunek różniczkowy i całkowy, t. I
2.Gdowski B., Pluciński E., Zadania z rachunku wektorowego i geometrii analitycznej
3.Krysicki W., Włodarski L., Analiza matematyczna w zadaniach, cz. I