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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 | Scientific problems encountered in the field of medicine and medical technologies; the ability to solve problems by applying the technical approaches of mathematics, science and engineering sciences. | 4 |
| PLO02 | Yetkinlikler - Öğrenme Yetkinliği | To be able to improve oneself by embracing the importance of lifelong learning and by following the developments in science-technology and contemporary issues. | 3 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Assess the contributions of engineering solutions on medicine, medical technologies and healthcare. | |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Identifying problems related to biomedical engineering. | |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Modeling problems related to biomedical engineering. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Analyzing data and interpreting the results. | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | To be able to use modern techniques and computational tools required for engineering applications. | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Ability to analyze and design a process in line with a defined goal. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To be able to understand the problems and wishes of the medical doctor in their scientific studies from an engineering point of view. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Expressing ideas verbally and in writing, clearly and concisely. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | To be conscious of calibration and quality assurance systems in Biomedical Engineering. | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Design and Implement Experiments. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to act independently, set priorities and creativity. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Being aware of national and international contemporary issues in the field of Biomedical Engineering. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Ability to work in interdisciplinary teams. | |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | To have a sense of professional and ethical responsibility. |
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 | ||