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Information
| Code | MDZ201 |
| Name | Linear Algebra |
| Semester | 3. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi ELA AYDIN |
Course Goal
The concept of this course is, give insight and skill about the concrete aspects of linear algebra.
Course Content
The concept of this course is, System of linear equations, matrices, determinants, Vectors in the plane and space and vector spaces.
Course Precondition
None.
Resources
Ders Notu ve Kitaplar
Notes
Arif Sabuncuoğlu, Lineer Cebir, Nobel yayın dağıtım,2000.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows System of linear equations matrices. |
| LO02 | Do operations on matrices. |
| LO03 | Knows some special type of matrices. |
| LO04 | Solve systems by using Gauss elimination and Gauss-Jordan reduction methods. |
| LO05 | Find the inverses of matrices. |
| LO06 | Calculation of determinants and knows properties of determinants |
| LO07 | Solve the systems using Cramers rule. |
| LO08 | Cofactors and finding inverse of matrices by using adjoint. |
| LO09 | Knows equivalance of matrices. |
| LO10 | Find the rank of a matrix. |
| LO11 | Vector spaces, find vectors in the plane and space. |
| LO12 | Find linear span space. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Students has sufficient knowledge on theoretical and applied subjects in the light of contemporary knowledge and scientific approaches in the field of mining. | 4 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Applies the knowledge she has received in the field of mining in multidisciplinary studies to produce solutions to the problems she has encountered. | 3 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Analyzes problems with the help of up-to-date information and makes inferences for solutions. | 4 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | It applies physical, chemical, mechanical and mineralogical analyzes in accordance with TSE standards in field studies or laboratory conditions. | 4 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Has the ability to analyze the engineering plans. | 1 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | It dominates the machinery park in mining enterprises and can use them for the execution of mining activities. | 2 |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students has the ability to solve the problems she encounters by working individually or in a team with other disciplines. | 1 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It constantly follows the developments in the mining field, as it knows that the information is not static. | 1 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | It can use printed publications or databases to obtain the necessary information in mining processes. | 3 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | He/she carries out all his/her work in a planned way in order to constantly improve himself/herself and increase her knowledge level. | 1 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses computers and other electronic resources in mining. | 1 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Uses at least one foreign language at B1 General Level in order to communicate and access information. | 1 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Performs technical drawings by thinking in three dimensions in the studies she has done in her field. | 1 |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | It has the awareness of adhering to moral and ethical values while carrying out its mining activities. | 1 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | It is aware of the need to prioritize the environment and the health of employees, as it has an infrastructure on Occupational Health and Safety awareness in mining and their legal obligations. | 4 |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Knows that the solutions to the problems in the mining field affect societies and communities, so they have information about the innovative applications and models developed. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | System of linear equations | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Matrices and operations on matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Properties of matrix operations and special types of matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 4 | Gauss elimination and Gauss-Jordan reduction | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Finding inverses of matrices using elementary operations and solving systems | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 6 | Determinant function and properties | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 7 | Using determinant for solving Cramer systems. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Cofactors and using adjoint for finding the inverse | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Congruences | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 11 | Rank of the matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | vector spaces and vectors on the plane | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 13 | find the linear span of the sets | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 14 | linear dependence and independence of vectors | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | circle equations, final exam | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exams | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 10 | 10 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||