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Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMS323 |
| Name | Mathematical Modelling in Biomedical Engineering |
| Term | 2018-2019 Academic Year |
| Semester | 5. 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 |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA KEREM ÜN |
| Course Instructor |
Prof. Dr. MUSTAFA KEREM ÜN
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student partial differential equations and complex analysis that are among the fundamental topics of applied mathematics
Course Content
Applications of regression models, difference and ordinary-partial differential equations in biomedical field.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Performs linear and nonlinear regression involving one or more variables |
| LO02 | Analyzes difference equations modelling populations |
| LO03 | Recognizes differential equations or systems thereof, modelling such phenomena as population or substance interaction and proposes solution methods for these |
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 | 3 |
| 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 | 5 |
| 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 the class | Reading lecture materials | |
| 2 | Fundamentals of mathematical modelling | Reading lecture materials | |
| 3 | Fundamentals of mathematical modelling | Reading lecture materials | |
| 4 | Fundamentals of rgression, least squares method | Reading lecture materials | |
| 5 | Linear regression with one and more variable, biomedical applications | Reading lecture materials | |
| 6 | Nonlinear regression with one and more variable, biomedical applications | Reading lecture materials | |
| 7 | Difference equations, application to populations | Reading lecture materials | |
| 8 | Mid-Term Exam | Reading lecture materials | |
| 9 | Differential equations, applications to populations, Verhulst and similar equations | Reading lecture materials | |
| 10 | Population models with harvesting, equilibrium, biological applications | Reading lecture materials | |
| 11 | Systems of equations, Lotka-Volterra and other predator-prey models | Reading lecture materials | |
| 12 | Models for metabolic processes, Hodgkin-Huxley and similar models | Reading lecture materials | |
| 13 | Partial differential equations, diffusion models | Reading lecture materials | |
| 14 | Tissue growth and similar models | Reading lecture materials | |
| 15 | Final exam | Reading lecture materials | |
| 16 | Term Exams | Review of the entire course material, solving exercise questions | |
| 17 | Term Exams | Review of the entire course material, solving exercise questions |
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 |