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Information
| Code | BMM120 |
| Name | Linear Algebra |
| Term | 2024-2025 Academic Year |
| Semester | 2. 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. DİLEK KAHYALAR |
| Course Instructor |
1 2 |
Course Goal / Objective
To teach the student biomechanical applications of statics and dynamics, to teach the student strength of materials and its biomechanical applications
Course Content
Biomechanical applications of statics and dynamics, strength of materials with its entire aspects and its biomechanical applications
Course Precondition
none
Resources
Arif Sabuncuoğlu,Mühendislik ve İstatistik Bölümler İçin Lineer CebirNobel Akademik Yayıncılık 2012
Notes
Arif Sabuncuoğlu,Mühendislik ve İstatistik Bölümler İçin Lineer CebirNobel Akademik Yayıncılık 2012
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Performs matrix algebra |
| LO02 | Solves system of equations with Gaussian elimination |
| LO03 | Identifies the rank, determinant and eigenvalues of a given square matrix |
| LO04 | Categorizes a given ordinary differential equation and proposes a method for its solution |
| LO05 | Solves a first order equation |
| LO06 | Solves a constant-coefficient, linear, higher order equation and a system of constant-coefficient linear equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge in mathematics, natural sciences, and biomedical engineering, along with the ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, formulate, and solve complex Biomedical Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | The ability to design a complex system, process, device, or product in Biomedical Engineering under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in Biomedical Engineering applications; the ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics in Biomedical Engineering. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | The ability to work effectively in intra-disciplinary (Biomedical Engineering) and multi-disciplinary teams; ability to work individually. | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | The ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports in Biomedical Engineering and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Get awareness of the necessity of lifelong learning; the ability to access information in the field of Biomedical Engineering, to follow developments in science and technology, and the ability to constantly self-renewal. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acting following ethical principles, professional and ethical responsibility in the field of Biomedical Engineering, and knowledge of the standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of project management and practices in the field of Biomedical Engineering, such as risk management and change management; awareness about entrepreneurship, innovation, and sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understanding the universal and societal impacts of Biomedical Engineering applications on health, environment, and safety; awareness of the legal implications of Biomedical Engineering solutions. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Understanding of biology and physiology. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Ability to make measurements on living systems and interpret data collected from these measurements. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Ability to solve problems related to the interactions between living and nonliving materials and systems. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to Matrices | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 2 | Matrix algebra, transpose and inverse | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 3 | Solving Systems with Gaussian elimination | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 4 | Linear independence, rank of a matrix | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 5 | Fundamental Theorem of Linear Systems | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 6 | Matrix inverse through Gauss-Jordan elimination | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 7 | Homogeneous systems | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Reading lecture materials | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Determinants | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 10 | Cramer rule | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 11 | Eigenvalues | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 12 | Vector of matrix | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 13 | Similar matrices, diagonalization | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 14 | Solving systems with Jacobi iteration | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 15 | Final Exam | Reading lecture materials | Ölçme Yöntemleri: Yazılı Sınav |
| 16 | Term Exams | Reading lecture materials | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Reading lecture materials | 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) | 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 | ||