TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMM120 |
| Name | Linear Algebra |
| Term | 2018-2019 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. DİLEK ERSALAN |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Bahar)
(A Group)
(Ins. in Charge)
|
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
Resources
Notes
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 | - | 1. Solve the scientific problems encountered in medicine and medical technologies by applying technical approaches of disciplines. 2. Self development on science and technology issues. 3. Assess the contributions of engineering solutions on medicine, medical technologies and healthcare | 3 |
| PLO02 | - | 1. Define the problems about Biomedical Engineering 2. Modelling the problems about Biomedical Engineering. | 3 |
| PLO03 | - | 1. Analyse data and interpret results | 4 |
| PLO04 | - | 1. Utilize modern techniques and computing tools which are essential for Engineering applications | 4 |
| PLO05 | - | 1. Design and analyse a defined process 2. Recognise national and international problems for Biomedical Engineering | 5 |
| PLO06 | - | Understand the research problems of medical doctor with engineering perspective | 4 |
| PLO07 | - | 1. Describe the ideas clearlywith written and verbally 2. Have the interdisciplinary teamwork skills | 5 |
| PLO08 | - | 1. Have knowledge on calibration and quality assurance systems in Biomedical Engineering 2. Have the sense of responsibility and professional ethics | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to Matrices | Reading lecture materials | |
| 2 | Matrix algebra, transpose and inverse | Reading lecture materials | |
| 3 | Solving Systems with Gaussian elimination | Reading lecture materials | |
| 4 | Linear independence, rank of a matrix | Reading lecture materials | |
| 5 | Fundamental Theorem of Linear Systems | Reading lecture materials | |
| 6 | Matrix inverse through Gauss-Jordan elimination | Reading lecture materials | |
| 7 | Homogeneous systems | Reading lecture materials | |
| 8 | Mid-Term Exam | Reading lecture materials | |
| 9 | Determinants | Reading lecture materials | |
| 10 | Cramer rule | Reading lecture materials | |
| 11 | Eigenvalues | Reading lecture materials | |
| 12 | Eigenvalues | Reading lecture materials | |
| 13 | Similar matrices, diagonalization | Reading lecture materials | |
| 14 | Solving systems with Jacobi iteration | Reading lecture materials | |
| 15 | Final Exam | Reading lecture materials | |
| 16 | Term Exams | Reading lecture materials | |
| 17 | Term Exams | Reading lecture materials |
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 | ||