Course Details

NUMERICAL METHODS FOR BIOMEDICAL ENGINEERING

BENG412

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Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
5BENG412NUMERICAL METHODS FOR BIOMEDICAL ENGINEERING3+0+035

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program BIOENGINEERING
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course - Comprehending fundamental knowledge for biomedical image processing
- Comprehending the purpose and processing of biomedical images
- Understanding how images are formed and processed
- Learning biomedical image processing steps, (preprocessing (histogram, quantization), filters, edge detection, feature extraction, usage area of machine learning, ANN) and usage areas
Course Content In this course, all basic biomedical image processing. All basic steps of image processing will be explained. In this course, Python applications will also be applied. Obtaining images, pre-processing parts, segmentation, extraction, and interpretation will be explained with detailed step by step.
Course Methods and Techniques Learners will be provided with as much opportunities of hands-on practice as possible, with the aim of striking a balance between learner-centeredness and sufficient guidance. Various forms of interaction (i.e. pair work and group work) will also be encouraged to cater for learners with different learning styles. Additionally, individuals will be expected to produce both in-class writings and homework assignments in addition to the reading tasks, which will encourage them to reflect and think critically. Technology will also be incorporated into the classroom procedures in order to create a better learning environment.
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Research Assist.Dr. Refika Sultan DOĞAN https://avesis.agu.edu.tr/refikasultan.dogan refikasultan.dogan@agu.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Biyomedikal Görüntü İşleme Thomas Martin Deserno (Editör)
Digital Image Processing Third Edition Rafael C. Gonzalez University of Tennessee Richard E. Woods MedData Interactive
By the end of the course, the student will be able to
LO1- Define biomedical image processing methods
LO2- Describe application areas of biomedical image processing systems
LO3- Learning how biomedical image processing is applied
LO4- Evaluate the recent developments in biomedical image processing
Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
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Course Category
Mathematics and Basic Sciences %30
Engineering %20
Engineering Design %10
Social Sciences %0
Education %5
Science %10
Health %20
Field %70

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Yarıyıl İçi Çalışmalarının Başarı Notunun Katkısı 1 % 5
Quiz/Küçük Sınav 3 % 10
Ödev 3 % 20
Proje/Çizim 1 % 30
Final examination 1 % 35
Total
9
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Araştırma Ödevi 3 3 9
Tartışma 14 1 14
F2F Dersi 14 3 42
Sınıf İçi Aktivitesi 14 1 14
Sunum 1 1 1
Proje 1 6 6
Araştırma 10 2 20
Takım/Grup Çalışması 1 1 1
Teknik Gezi 1 1 1
Öğretici Sunum/Açıklama 1 1 1
Yüz Yüze Ders 14 3 42
Final Sınavı 1 3 3
Total Work Load   Number of ECTS Credits 5 154

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Construct mathematical models and describe numerical analysis techniques.
2 Solve linear and nonlinear equations using numerical methods.
3 Apply numerical techniques such as differentiation, integration, and interpolation.
4 Diferansiyel denklemleri sayısal yöntemlerle çözer ve mühendislik problemlerine uygular.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Introduction to numerical methods Steven C. Chapra – Applied Numerical Methods with MATLAB for Engineers and Scientists, 4th Edition (McGraw-Hill Education)
2 Basic operations and computation in MATLAB Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
3 Solving linear equations: Direct methods (Gaussian elimination) Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
4 Iterative methods for linear systems (Gauss-Seidel, Jacobi) Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
5 Root finding for nonlinear equations (bisection, Newton-Raphson) Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
6 Interpolation techniques (Lagrange, Newton forward/backward difference) Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
7 Cubic spline interpolation Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
8 Numerical differentiation and integration (Trapezoidal and Simpson’s rule) Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
9 Ara sınav haftası
10 Initial value problems: Euler and Runge-Kutta methods Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
11 Advanced ODE solvers (Adams-Bashforth, Heun’s method) Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
12 Finite difference method for parabolic and hyperbolic PDEs Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
13 Applications of numerical methods in biomedical engineering Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)
14 Final review and example problem solving Steven C. Chapra – Uygulamalı Sayısal Yöntemler (MATLAB ile) (İngilizce orijinal: Applied Numerical Methods with MATLAB for Engineers and Scientists)


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
C1 4
C2 5
C3 5
C4 4

Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant


https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=72042&lang=en
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