TÜRKÇE
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Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MDZ217 |
| Name | Mathematics 3 |
| Term | 2025-2026 Academic Year |
| 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 |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi ELA AYDIN |
| Course Instructor |
Dr. Öğr. Üyesi ELA AYDIN
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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
Arif Sabuncuoğlu, Lineer Cebir, Nobel yayın dağıtım,2000.
Notes
Lectural notes and books
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 | PÇ1. (a) Adequate knowledge of mathematics, basic sciences, and discipline-specific topics in Mining Engineering; PÇ1. (b) the ability to use theoretical and applied knowledge in these areas for solving complex engineering problems. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | PÇ2. (a) Ability to identify, formulate, and solve complex problems in Mining Engineering; PÇ2. (b) ability to select and apply appropriate analysis and modeling methods for this purpose. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | PÇ3. (a) Ability to design a complex system, process, device, or product to meet specified requirements under realistic constraints and conditions; PÇ3. (b) ability to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | PÇ4. (a) Ability to select and use modern technical tools necessary for the analysis and solution of complex problems encountered in Mining Engineering applications; PÇ4. (b) ability to effectively use information technologies. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | PÇ5. Ability to design experiments, conduct experiments, collect data, analyze and interpret results for the investigation of problems specific to Mining Engineering. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | PÇ6. (a) Ability to work effectively in disciplinary (Mining Engineering) and multidisciplinary teams; PÇ6. (b) ability to work individually. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | PÇ7. (a) Ability to communicate effectively in Turkish, both orally and in writing; PÇ7. (b) knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | PÇ8. Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and continuously improve oneself. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | PÇ9. Ability to act in accordance with the ethical principles of Mining Engineering; knowledge of professional and ethical responsibilities and of the standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | PÇ10. Knowledge of business-life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | PÇ11. Knowledge of the impacts of Mining Engineering practices on health, environment, and safety at universal and societal levels, as well as contemporary issues in engineering; awareness of the legal consequences of Mining Engineering solutions. |
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 relevant pages from 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 relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||