Преподавател(и):

проф. Иван Ланджев  д.н.

Описание на курса:

Компетенции:

Finding and presenting in different forms the general solution of a system of linear equations; Giving geometrical interpretation of the set of all solutions

Working with matrices and determinants; Representation of a matrix as a product of a lower-triangular and upper-triangular matrix; Calculation of inverse matrix; Finding the Rank, Eigen-Values and Eigen-Vectors of a square matrix

Finding the dimension and a basis for a given vector space; Scalar product and orthogonality of two vectors;

Предварителни изисквания:

Elementary mathematics (school level);

Desire for self-standing work on Home-works and assignments given during classes

Форми на провеждане:
Редовен

Учебни форми:
Лекция

Език, на който се води курса:
Английски

Теми, които се разглеждат в курса:

Solving systems of linear equations;

Vectors and matrices; Product of matrix and a vector, product of two matrices; Representation of Gaussian elimination steps as consequent multiplication of a matrix by elementary matrices; Permutations of matrix rows as multiplication of matrices; Representation of a matrix as a product of two matrices: a lower-triangular one and an upper-triangular one;

Inverse matrices; Rang of a matrix; Eigen-Values and Eigen-Vectors of a square matrix

Vector spaces, dimension, basis of a vector space; Vector spaces generated by a matrix

Scalar product and orthogonality of vectors; Orthogonal basis

Литература по темите:

Any of the numerous text-books on Linear Algebra could be of help.

Preferred book:

Gilbert Strang, "Linear Algebra and itsw Applications",

Brooks/Cole, Third Edition,

ISBN 0-15-551005-3

Средства за оценяване:

Home-works and Assignments given every week; Two written Control Works during the term; Written Final Examination at the end of the term;

If Home-work and assignments are regularly handed to the lecturer and if the average mark from the two Control Works is at least 4.5, the student may be exempted from the Final Examination with a final mark equal to the mentioned average