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Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MDZ201 |
| Name | Linear Algebra |
| Term | 2020-2021 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 | C Compulsory |
| Mode of study | Uzaktan 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
Yok
Resources
Notes
Ders Notu ve Kitaplar
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 | - | Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches | 4 |
| PLO02 | - | Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions | 3 |
| PLO03 | - | Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems | 4 |
| PLO04 | - | Students design and carry out experiments, collect data, analyze and interpret the results. | 4 |
| PLO05 | - | Students gain the capacity to analyze a system, a component, and desing the process under realistic constraints to meet the desired requirements; and the ability to apply the methods of modern design accordingly | 1 |
| PLO06 | - | Students choose and use the modern technical tools necessary for engineering practice. | 2 |
| PLO07 | - | Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. | 1 |
| PLO08 | - | Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves | 1 |
| PLO09 | - | Students use the resources of information and databases for the purpose of doing research and accesing information. | 3 |
| PLO10 | - | Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. | 1 |
| PLO11 | - | Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. | 1 |
| PLO12 | - | Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. | 1 |
| PLO13 | - | Students gain the ability to communicate using technical drawing. | 1 |
| PLO14 | - | Students become informed of professional and ethical responsibility. | 1 |
| PLO15 | - | Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. | 4 |
| PLO16 | - | Students develop an awareness of the universal and social effects of engineering solutions and applications, the entrepreneurship and innovation subjects and gain knowledge of contemporary issues | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | System of linear equations | Review of the relevant pages from sources | |
| 2 | Matrices and operations on matrices | Review of the relevant pages from sources | |
| 3 | Properties of matrix operations and special types of matrices | Review of the relevant pages from sources | |
| 4 | Gauss elimination and Gauss-Jordan reduction | Review of the relevant pages from sources | |
| 5 | Finding inverses of matrices using elementary operations and solving systems | Review of the relevant pages from sources | |
| 6 | Determinant function and properties | Review of the relevant pages from sources | |
| 7 | Using determinant for solving Cramer systems. | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | |
| 9 | Cofactors and using adjoint for finding the inverse | Review of the relevant pages from sources | |
| 10 | Congruences | Review of the relevant pages from sources | |
| 11 | Rank of the matrices | Review of the relevant pages from sources | |
| 12 | vector spaces and vectors on the plane | Review of the relevant pages from sources | |
| 13 | find the linear span of the sets | Review of the relevant pages from sources | |
| 14 | linear dependence and independence of vectors | Review of the relevant pages from sources | |
| 15 | circle equations, final exam | Review of the relevant pages from sources | |
| 16 | Term Exams | Review of the topics discussed in the lecture notes and sources | |
| 17 | Term Exams | Review of the topics discussed in the lecture notes and sources |
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 | ||