Akademik Dersler - İçerik

define matrices and some special matrices, determinants of square matrices.
define the notion of matrix.
define some special matrices like square, diagonal and triangular matrices.
define minor and cofactors of square matrices.
define and evaluate determinants of the square matrices.
define and evaluate inverses of the square matrices.
recognize the system of linear equations, identify the existence of solutions and if there exists find the solutions.
define the system of linear equations.
define the system of linear equations by using matrices.
investigate the existence of solutions using rank of the extended matrix and matrix of coefficients.
find the solutions of the system of linear equations by applying methods of Gauss, Gauss-Jordan and Cramer.
Will be able to construct Cartesian coordinate systems in the plane and in space, express the concept of vectors both geometrically and analytically, and understand the operations on vectors and the properties of these operations.
define vectors on the plane geometrically.
define cartesian coordinates on the plane and
define vectors on cartesian coordinates and defines opeartions on vectors.
evaluate the area of a parallelogram and the volume of a parallelpiped by using vector product.
sketch the graphs of some special curves by using polar coordinates on the plane.
define the polar coordinates.
estimate polar equations of conics and sketch their graphs.
sketch the graphs of the curves like spirals and n-leaved roses.
identify isometries like reflections, rotations and translations and use them to categorize conics.
define reflections.
define rotations.
define translations.
apply these notions to curves.
use isometries to transform conics to canonic forms.