| Learning Outcomes |
PO |
MME |
| The students who succeeded in this course: |
|
|
| LO-1 |
define the concept of determinant and express the theorems about the elementary properties of determinants. |
PO-12 To be able to assess mathematics improvements using different assesment techniques.
|
Examination
|
| LO-2 |
define the inner product and make applications related to inner product |
PO-13 Being capable of using different evaluation and assessment techniques.
|
Examination
|
| LO-3 |
ortagonalite kavramını ve temel özelliklerini tanımlayabilir |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process.
|
Examination
|
| LO-4 |
make applications about least squares method, diagonalization and triangulation |
PO-10 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process.
|
Examination
|
| LO-5 |
explain the concepts of eigenvalues and eigenvectors;express properties of some special matrices |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field
|
Examination
|
| LO-6 |
Knows diagonals and matrix operations. |
PO-12 To be able to assess mathematics improvements using different assesment techniques.
|
Examination
|
PO: Programme Outcomes
MME:Method of measurement & Evaluation |
| Course Contents |
| Orthogonality; n The concept of orthogonality and distance function in R, Gram-Schmidt process, orthogonal matrices, least squares and their applications. Determinants; determinants and reduction, solution of linear equations by Cramer's rule. Characteristic equation of a matrix, eigenvectors and eigenvectors, diagonals and matrix operations. |
| Weekly Course Content |
| Week |
Subject |
Learning Activities and Teaching Methods |
| 1 |
determinants |
Lecturing and question solutions |
| 2 |
Properties of determinant function |
Lecturing and question solutions |
| 3 |
Determinants of special matrices |
Lecturing and question solutions |
| 4 |
Cramer method in solution of systems of linear equations |
Lecturing and question solutions |
| 5 |
Characteristic equation and polynomial of a matrix |
Lecturing and question solutions |
| 6 |
Characteristic equation and polynomial of a linear transformation |
Lecturing and question solutions |
| 7 |
Eigenvalues-eigenvectors |
Lecturing and question solutions |
| 8 |
mid-term exam |
|
| 9 |
Diagonalization and matrix operations |
Lecturing and question solutions |
| 10 |
Binary linear transformations |
Lecturing and question solutions |
| 11 |
Inner-product spaces |
Lecturing and question solutions |
| 12 |
Oklid space. |
Lecturing and question solutions |
| 13 |
Orthogonality |
Lecturing and question solutions |
| 14 |
Orthogonal and Orthonormal bases |
Lecturing and question solutions |
| 15 |
Orthogonal matrices. |
Lecturing and question solutions |
| 16 |
final exam |
|
| Recommend Course Book / Supplementary Book/Reading |
| 1 |
• Seymour Lipschutz, Marc Lars Lipson, İlker Akkuş, Lineer Cebir, Nobel Akademik Yayıncılık, 2013. |
| 2 |
• H.Hilmi Hacısalihoğlu (2000) Lineer Cebir I, , Hacısalihoğlu Yayıncılık, |
| 3 |
• Bernard Kolman; (2004) Elementary Linear Algebra; Fifth Edition, |
| Required Course instruments and materials |
| Textbook |
