- Course Code
- EMT205
- Semester
- Third Term (Fall)
- Theory+Practice
- 3 + 0
- ECTS
- 5
| Course Type | Compulsory Course |
| Course Level | Bachelor's Degree |
| Year of Study | 2 |
| Semester | Third Term (Fall) |
| ECTS | 5 |
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Will be able basic concepts of matrix algebra and apply operations defined on matrixes.
- Understand solution methods of linear equation systems and appy them.
|
| Mode of Delivery | Face to face |
| Prerequisites | No |
| Recommended Optional Programme Components | None |
| Course Description | Matrices, operations on matrices, special types of matrices; elementary operations, isochronous matrix, elementary matrices and inverse of a matrix, rank of a matrix; determinant, properties of determinant function; systems of linear equations, methods of solving systems of linear equations (Gaussian elimination, Gauss-Jordan reduction, inverse matrix and cramer method). |
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Matrices |
|
2nd Week |
Special type square matrices |
|
3rd Week |
Elementary operations in matrices |
|
4th Week |
Elementary operations in matrices |
|
5th Week |
Elementary operations and elementary matrices |
|
6th Week |
Elementary operations and elementary matrices |
|
7th Week |
Calculation of the inverse of a matrix |
|
8th Week |
Midterm |
|
9th Week |
Determinants, rank of matrix |
|
10th Week |
Determinants |
|
11th Week |
Cramer's rule, cofactor expansion and calculation properties |
|
12th Week |
Linear systems of equations |
|
13th Week |
Gaussian elimination method and Gauss-Jordan reduction methods |
|
14th Week |
Inverse matrix and Cramer method |
|
15th Week |
General review |
|
| Recommended or Required Reading | D. Taşcı, Lineer Cebir, Öziş Matbacılık, 2017
Lineer Cebir, Arif SABUNCUOĞLU, Ankara 2008 |
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Problem Solving
|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Quiz |
1 |
10 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
1 |
5 |
5 |
| Individual or group work |
13 |
3 |
39 |
| Preparation for Final exam |
1 |
30 |
30 |
| Course hours |
13 |
3 |
39 |
| Preparation for Midterm exam |
1 |
30 |
30 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
|
|
|
| Quiz |
1 |
2 |
2 |
| Total Work Load | 149 |
| Total Work Load / 30 (h) | 4.96 |
| ECTS Credit of the Course | 5 |
|
| Language of Instruction | Turkish |
| Work Placement(s) | No |
Programme Qualifications / Learning Outcomes
|
LO1 |
LO2 |
| K1 |
|
|
| K2 |
|
|
| K3 |
|
|
| K4 |
|
|
| K5 |
|
|
| K6 |
|
|
| K7 |
|
|
| K8 |
|
|
| K9 |
X |
X |
| K10 |
X |
X |