ECTS
ECTS Course Catalogue
Course details
Course code: IBS10033o12Semester: 2012/2013 winter
Name: Sel_Algebra
Major: Civil Engineering
Study Type: first cycle
Course type: compulsory
Study Semester: 1
ECTS points: 5
Hours (Lectures / Tutorials / Other): 15 / 15 / 0
Lecturer: dr Roman Dąbrowski
Language of instruction: Polish
Learning outcomes: During the course student gets a theoretical knowledge about the set of complex numbers, polynomial and their properties, matrices and matrix operations, determinants. Student is able to solve systems of linear equations and gets a basic knowledge of vektors in R3 and equations of lines and planes.
Competences: Passing the course permits learn mathematical analysis and is useful in physic and other technical courses.
Prerequisites: Mathematic course at high school
Course content: Algebraic form of complex numbers. Modulus and argument. Polynomials and their properties. The fundamental theorem of algebra. Matrices and matrix operations. Determinants and their properties. Laplace expansions of determinants. Systems of linear equations. Cramer`s rule. Kronecker - Capelli`s Theorem. Vectors in R3. The scalar, cross and triple product. Equations of lines and planes.
Recommended literature: T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1, Definicje, twierdzenia, wzory, Oficyna Wydawnicza GiS, Wrocław 1999 T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1, Przykłady i zadania, Oficyna Wydawnicza GiS, Wrocław 1999 W. Krysicki, L. Włodarski. Analiza matematyczna w zadaniach cz.1, PWN Warszawa 1997
Assessment methods: written exam at least 60%
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