ECTS
ECTS Course Catalogue
Course details
Course code: IWS10146o16Semester: 2016/2017 winter
Name: Algebra
Major: Water Engineering and Managment
Study Type: first cycle
Course type: compulsory
Study Semester: 1
ECTS points: 7
Hours (Lectures / Tutorials / Other): 30 / 30 / 0
Lecturer: dr hab. Wiesław Szulczewski, prof. nadzw.
Language of instruction: Polish
Learning outcomes: Knowledge He knows the basic theorems of the known branches of mathematics, knows the selected concepts and methods of mathematical logic, algebra and geometry; civilization understands the importance of mathematics and its applications. Knowledge Uses the notion of linear space, vector, matrix, knows how to calculate determinants and knows their property; solve systems of linear equations with constant coefficients, calculates the eigenvalues and eigenvectors of the matrix.
Competences: He knows his own limitations of knowledge and understands the need for further education.
Prerequisites:
Course content: Basic mathematical logic. Action in the set of complex numbers. Polynomials of a complex variable. Fundamental theorem of algebra. Rational functions and distribution to simple fractions. Algebra of matrices and determinants. Matrix equation. The Government of the matrix. Systems of linear equations. Eigenvalues and eigenvectors of the matrix, the matrix characteristic polynomial. Analytical Geometry in the plane. Linear transformations. Vector space. Analytic geometry in space. Selected class of curves and surfaces of the second degree.
Recommended literature:
Assessment methods: Assessment of exercise on the basis of the results of ongoing tests and assessments. Written and oral exam. Result: the average of 50 % exercise, 50 % lecture.
Comment: