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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

LINEAR ALGEBRA COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT104 LINEAR ALGEBRA 3 3 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 - Group, Ring, Field, Vectors and Vector Spaces -
2 - Supspaces, Inner Product Spaces and Metric properties -
3 - Linear Independence, Basis, Dimension, Matrix Vector Spaces, Basis and Dimension of Matrices -
4 - Multiplication of Matrices, Transposition, Inverse Matrix, Special Matrices -
5 - Elementary Operations in Matrices and Their Applications -
6 - Trace and its properties, Coordinates and Transition matrix in vector spaces. -
7 - Linear transformations, Rank and kernel of linear transformation, Dimension theorem -
8 - MID-TERM EXAM -
9 - Relation between Linear transformations and matrices -
10 - Determinant function, Properties of a determinant function, Calculation of the determinant of a matrix -
11 - Adjoint matrix, Applications of determinant (linear independence, rank of matrix, cross product, mixed product) -
12 - Linear Equation Systems -
13 - Eigenvalues and eigenvectors of matrices, characteristic equation and polynomial, -
14 - Cayley Hamilton Theorem and Applications -
15 - FINAL EXAM -
16 - FINAL EXAM -
17 - FINAL EXAM -