Mathematics I GB1007

Course content:
Matrices (matrix operations, determinants and their properties, inverse matrix).
Systems of linear equations (Cramer's systems, Gauss elimination method).
Vectors (scalar, vector and mixed products).
Planes and lines in R^3 space (plane and line equations, plane and line intersections).
Surfaces and curves in R^3 space (curve and surface notation, conical curves, second order surfaces).

Learning outcomes:
Ability to problem solving formulated in algebraic description form.

Course coordinators

Krzysztof Piekarski

Bibliography

a) basic references:
1. Jurlewicz T., Skoczylas Z.: Algebra liniowa 1: przykłady i zadania, Oficyna Wydawnicza "GiS", Wrocław, 2007.
2. Kajetanowicz P., Wierzejewski J.: Algebra z geometrią analityczną, PWN, Warszawa, 2008.
3. Leitner R.: Zarys matematyki wyższej dla studentów, cz. I, WNT, 1996.

b) supplementary references:
1. Blyth T.S., Robertson E.F.: Basic linear algebra, Springer, London - New York, 2002.
2. Gdowski B., Pluciński E.: Zbiór zadań z rachunku wektorowego i geometrii analitycznej, Oficyna Wydawnicza
Politechniki Warszawskiej, Warszawa, 2000.