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Information
| Code | INMZ109 |
| Name | Linear Algebra |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN RIZKULLAH YERLİ |
| Course Instructor |
1 |
Course Goal / Objective
With this course to the students of Civil Engineering Linear Algebra to transfer information, to increase the power of reasoning, used in part to teach the mathematical concepts.
Course Content
Matrices, linear systems of equations, determinants, vector spaces, subspaces, bases, dimension, linear transformations. Through the course of this method held understand math mathematical thinking orally and in writing is to ensure the development of the ability to express.
Course Precondition
None
Resources
1.Lineer Cebir, D. Taşcı, Ankara, 2012 2. Linear Algebra and Geometry, D.M. Bloom, Cambridge Universty Press, London, 1979. 3.Lineer Cebir, H.H.Hacısalihoğlu, Gazi Üniversitesi Yayınları
Notes
Lineer Cebir, F. Başar, Sürat Üniversite Yayınları, 2012
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | They have put new information on General Mathematics lessons. |
| LO02 | To understand matrices, linear systems of equations, determinants, and vector spaces |
| LO03 | To understand the methods of mathematical thinking |
| LO04 | Effective oral and written communication skills must be won. |
| LO05 | Classifies the application areas of matrices and determinants |
| LO06 | To learn how to solve systems of linear equations. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has the basic knowledge of math, science and civil engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has a good commman of basic concepts, theories and principles in civil engineering. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Selects and uses the modern techniques and tools necessary for engineering practice | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the abiltiy to work effectively as a member in interdisciplinary teams | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Identifies proper sources of information and databases, reaches them and uses them efficiently. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Uses the computers and information technologies related with civil engineering actively. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate effectively both orally and in writing. | 2 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Communicates using technical drawing | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Has an awareness of professional and ethical responsibility | |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Matrices | Lecture notes and books etc. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Matrix operations | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Special Matrices | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Elementary operations and applications | Repeat the previous lesson | Öğretim Yöntemleri: Soru-Cevap, Anlatım |
| 5 | Determinants | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Linear systems of equations and solutions | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Examples, Theorems | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Vector spaces | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Sub-vector spaces | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Basis and dimension | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Base changes | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Linear Transformations | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Quotient spaces | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Quotient spaces-1 | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
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) | 13 | 4 | 52 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||