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Information
| Unit | FACULTY OF ENGINEERING |
| TEXTILE ENGINEERING PR. | |
| Code | TLZ202 |
| Name | Math IV |
| Term | 2021-2022 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Arş.Gör. Dr. AYŞE ÇOBANKAYA |
| Course Instructor |
Arş.Gör. Dr. AYŞE ÇOBANKAYA
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Bu derste temel lineer cebir bilgileri verilerek, vektörler, matrisler ve vektör uzayları ile ilgili altyapının oluşturulması hedeflenmiştir ve öğrencilere soyut düşünme becerisi kazandırmak amaçlanmıştır.
Course Content
Lineer denklem sistemleri, matrisler, determinant kavramı. Vektörler ve vektör uzayları, taban ve boyut bulma, lineer dönüşümler, matrislerini öz değerleri ve özvektörleri
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Lineer Denklem Sistemleri |
| LO02 | Matris İşlemlerini yapar. |
| LO03 | Özel tipteki Matrisleri tanır. |
| LO04 | Gauss Yoketme ve Gauss Jordan İndirgemesi ile sistemlerin çözer. |
| LO05 | Bir matrisin tersini bulur. |
| LO06 | Determinant hesaplar ve Determinant Özelliklerini bilir. |
| LO07 | Cramer Sistemiyle Lineer Sistemleri Çözer. |
| LO08 | Kofaktör ve Bir Matrisin Eki kullanarak matris tersi bulur. |
| LO09 | Matrislerin benzerliğini bilir. |
| LO10 | Vektör Uzayları, Düzlemde ve Uzayda Vektörleri bulur. |
| LO11 | Lineer geren uzayı bulur. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has sufficient background in the fields of Mathematics, Science and Textile Engineering | 3 |
| PLO02 | - | Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering | 1 |
| PLO03 | - | Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering | 0 |
| PLO04 | - | Selects and uses modern techniques and tools for engineering applications | 0 |
| PLO05 | - | Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results | 0 |
| PLO06 | - | Works effectively both individually and as a team member and takes responsibility | 0 |
| PLO07 | - | Searches literature, has access to information, uses databases and other sources of information | 0 |
| PLO08 | - | Recognizes the need of lifelong learning; follows developments in science and technology and renews self continuosly | 0 |
| PLO09 | - | Has effective oral and written communication skills. | 0 |
| PLO10 | - | Follows developments in the field in a foreign language, has good communication skills with colleagues. | 0 |
| PLO11 | - | Uses information and communication technologies and softwares at a required level | 0 |
| PLO12 | - | Defines learning requirements in scientific, social, cultural and artistic areas and improves himself/herself accordingly. | 0 |
| PLO13 | - | Has the professional and ethical responsibility. | 0 |
| PLO14 | - | Has the necessary awareness on the fields of occupational health and safety, legal side of engineering applications and environmental health. | 0 |
| PLO15 | - | Has required competence in project management, entrepreneurship and innovation. | 0 |
| PLO16 | - | An ability to identify, formulate, and solve complex engineering problems by selecting appropriate analysis and modeling methods. | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Lineer Denklem Sistemleri | ders notları | |
| 2 | Matris İşlemleri | ders notları | |
| 3 | Özel tipteki Matrisler | ders notları | |
| 4 | Gauss Yoketme ve Gauss Jordan İndirgemesi ile sistemlerin çözümü | ders notları | |
| 5 | Bir matrisin tersini bulma | ders notları | |
| 6 | Determinant hesaplama ve Determinant Özellikleri | ders notları | |
| 7 | Cramer Sistemiyle Lineer Sistemleri Çözme | ders notları | |
| 8 | Mid-Term Exam | ders notları | |
| 9 | Kofaktör ve Bir Matrisin Eki kullanarak matris tersi bulma | ders notları | |
| 10 | Benzerlik | ders notları | |
| 11 | LU ayrışımı | ders notları | |
| 12 | Vektör Uzayları, Düzlemde ve Uzayda Vektörler | ders notları | |
| 13 | Alt vektör Uzayları | ders notları | |
| 14 | Lineer geren uzayı bulmak | ders notları | |
| 15 | Vektörlerin lineer bağımlılık ve bağımsızlığı | ders notları | |
| 16 | Term Exams | ders notları | |
| 17 | Term Exams | ders notları |
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 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||